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applications of category theory for knowledge graphs and triple stores

Since we’re already using Datascript as the Datalog engine in the previous response, adapting the CQL-to-Clojure approach to focus solely on Datascript means we’ll streamline the workflow by fully embedding the knowledge graph (KG) reasoning within Datascript, while still leveraging CQL’s Java libraries via interop for schema definition and category-theoretic operations. This eliminates any redundant steps and keeps Datascript as the central hub for querying and reasoning, directly feeding your Neo4j-based RAG system with models like Grok 3, Qwen-QwQ, and DeepSeek. Here’s how we can adapt and refine this.


Approach Overview

  • Neo4j: Remains the persistent KG store.
  • CQL (Java): Used via interop to define schemas and instances, providing a category-theoretic foundation.
  • Datascript: Acts as the in-memory Datalog database for all querying and reasoning, replacing Cypher entirely.
  • Clojure: Orchestrates interop, data conversion, and RAG integration.

The workflow:

  1. Define a CQL schema and instance from Neo4j data.
  2. Convert CQL instance data into Datascript facts.
  3. Use Datascript’s Datalog to define rules and run queries.
  4. Feed results to reasoning models.

Step 1: Define CQL Schema and Instance

We’ll use CQL’s Java libraries to define the schema and populate it with Neo4j data, then extract it for Datascript.

Schema Definition

(ns cql-datascript-rag
  (:require [datascript.core :as d])
  (:import [catdata.aql AqlEnv AqlOptions Schema Instance]
           [catdata.aql.semantics AqlCompiler]))

(def env (AqlEnv.))
(def opts (AqlOptions.))
(def compiler (AqlCompiler. opts))

(def schema-str
  "typeside Ty = literal {
     types string
   }
   schema S = literal : Ty {
     entities Author Article Topic
     foreign_keys
       published : Article -> Author
       in_topic : Article -> Topic
     attributes
       name : Author -> string
       title : Article -> string
       topic_name : Topic -> string
   }")

(.run env compiler schema-str)
(def schema (.getSchema env "S"))

Instance from Neo4j

Pull data from Neo4j and create a dynamic CQL instance:

(require '[neo4j-clj.core :as neo4j])

(def conn (neo4j/connect "bolt://localhost:7687" "neo4j" "password"))

(defn neo4j-to-cql-instance []
  (neo4j/with-session conn session
    (let [result (neo4j/execute session
                   "MATCH (a:Author)-[:PUBLISHED]->(art:Article)-[:IN_TOPIC]->(t:Topic)
                    RETURN a.name, art.title, t.name")
          authors (map-indexed #(str "a" %1) result)
          articles (map-indexed #(str "art" %1) result)
          topics (map-indexed #(str "t" %1) result)
          instance-str (str "instance I = literal : S {
                             entities
                               Author -> {" (clojure.string/join " " authors) "}
                               Article -> {" (clojure.string/join " " articles) "}
                               Topic -> {" (clojure.string/join " " topics) "}
                             foreign_keys
                               published -> {" (clojure.string/join " " (map-indexed #(str "art" %1 "->a" %1) result)) "}
                               in_topic -> {" (clojure.string/join " " (map-indexed #(str "art" %1 "->t" %1) result)) "}
                             attributes
                               name -> {" (clojure.string/join " " (map-indexed #(str "a" %1 "->\"" (:a.name %2) "\"") result)) "}
                               title -> {" (clojure.string/join " " (map-indexed #(str "art" %1 "->\"" (:art.title %2) "\"") result)) "}
                               topic_name -> {" (clojure.string/join " " (map-indexed #(str "t" %1 "->\"" (:t.name %2) "\"") result)) "}
                           }")]
      (.run env compiler instance-str)
      (.getInstance env "I"))))

(def instance (neo4j-to-cql-instance))
;; Example output: Authors {a0="Jane Doe", a1="John Smith"}, Articles {art0="AI Impacts", art1="AI Ethics"}, etc.

Step 2: Convert CQL to Datascript

Extract data from the CQL instance and load it into Datascript.

Conversion Function

(defn cql-to-datascript [cql-instance]
  (let [authors (.generators cql-instance "Author")
        articles (.generators cql-instance "Article")
        topics (.generators cql-instance "Topic")]
    (concat
     (map (fn [a] {:db/id (.id a) :author/name (.get a "name")}) authors)
     (map (fn [art] {:db/id (.id art)
                     :article/title (.get art "title")
                     :published/by {:db/id (.id (.fk art "published"))}
                     :in/topic {:db/id (.id (.fk art "in_topic"))}}) articles)
     (map (fn [t] {:db/id (.id t) :topic/name (.get t "topic_name")}) topics))))

(def ds-facts (cql-to-datascript instance))
;; => [{:db/id "a0" :author/name "Jane Doe"} {:db/id "art0" :article/title "AI Impacts" :published/by {:db/id "a0"} :in/topic {:db/id "t0"}} ...]

Load into Datascript

(def ds-schema {:published/by {:db/valueType :db.type/ref :db/cardinality :db.cardinality/one}
                :in/topic {:db/valueType :db.type/ref :db/cardinality :db.cardinality/one}})
(def ds-conn (d/create-conn ds-schema))
(d/transact! ds-conn ds-facts)

Step 3: Datascript Datalog Queries and Rules

Now, we’ll use Datascript’s Datalog exclusively for querying and reasoning, replacing Cypher.

Rules

Define rules for inference:

(def rules
  '[[(collaborates ?auth1 ?auth2)
     [?art1 :published/by ?auth1]
     [?art2 :published/by ?auth2]
     [?art1 :in/topic ?topic]
     [?art2 :in/topic ?topic]
     [(not= ?auth1 ?auth2)]]
    [(contributes ?auth ?topic)
     [?art :published/by ?auth]
     [?art :in/topic ?topic]]])

Query Collaborators

(def collaborators
  (d/q '[:find ?name1 ?name2
         :in $ % 
         :where
         [?auth1 :author/name ?name1]
         [?auth2 :author/name ?name2]
         (collaborates ?auth1 ?auth2)]
       @ds-conn rules))
;; => [["Jane Doe" "John Smith"]]

Query Contributions

(def contributions
  (d/q '[:find ?name ?topic-name
         :in $ % 
         :where
         [?auth :author/name ?name]
         [?topic :topic/name ?topic-name]
         (contributes ?auth ?topic)]
       @ds-conn rules))
;; => [["Jane Doe" "AI"] ["John Smith" "AI"]]

Step 4: Feeding RAG Models

Serialize Datascript results into prompts for your reasoning models.

Prompt Construction

(defn build-prompt [results label]
  (str "Knowledge Graph:\n"
       (clojure.string/join "\n" (map #(str "- " label ": " %) results))
       "\nQuery: What do these authors have in common?"))

What Was Intended

The collab-prompt definition is meant to take the results of a Datascript Datalog query (in this case, the collaborators query, which returns pairs of collaborating authors like [["Jane Doe" "John Smith"]]), format them into a readable string, and pass them to the build-prompt function to create a prompt for your RAG models.

Here’s what it should look like and why:

Corrected Code

(def collaborators
  (d/q '[:find ?name1 ?name2
         :in $ % 
         :where
         [?auth1 :author/name ?name1]
         [?auth2 :author/name ?name2]
         (collaborates ?auth1 ?auth2)]
       @ds-conn rules))

(def collab-prompt
  (build-prompt
    (map #(str (first %) " collaborates with " (second %)) collaborators)
    "Collaboration"))

Output

Assuming collaborators returns [["Jane Doe" "John Smith"]], the result would be:

"Knowledge Graph:\n- Collaboration: Jane Doe collaborates with John Smith\nQuery: What do these authors have in common?"

Explanation

  1. The Query:

    • (d/q ...) retrieves pairs of author names (?name1, ?name2) where the collaborates rule holds true (i.e., they’ve published articles on the same topic, like "AI").
    • Result: [["Jane Doe" "John Smith"]].
  2. The Mapping:

    • (map #(str (first %) " collaborates with " (second %)) collaborators) processes each pair:
      • (first ["Jane Doe" "John Smith"])"Jane Doe"
      • (second ["Jane Doe" "John Smith"])"John Smith"
      • (str "Jane Doe" " collaborates with " "John Smith")"Jane Doe collaborates with John Smith"
    • Result: ("Jane Doe collaborates with John Smith").
  3. The Prompt:

    • build-prompt takes this formatted list and a label ("Collaboration"), constructing:
      Knowledge Graph:
      - Collaboration: Jane Doe collaborates with John Smith
      Query: What do these authors have in common?
      

Why It Matters

This prompt is the bridge between your Datascript reasoning and the RAG models (Grok 3, Qwen-QwQ, DeepSeek). It needs to be clear and concise so the models can interpret the relationships (e.g., collaboration) and answer the query effectively.

Fixed Full Context

Here’s how it fits into the broader example:

(ns cql-datascript-rag
  (:require [datascript.core :as d]
            [neo4j-clj.core :as neo4j])
  (:import [catdata.aql AqlEnv AqlOptions Schema Instance]
           [catdata.aql.semantics AqlCompiler]))

;; ... (schema, instance, and Datascript setup as before) ...

(def rules
  '[[(collaborates ?auth1 ?auth2)
     [?art1 :published/by ?auth1]
     [?art2 :published/by ?auth2]
     [?art1 :in/topic ?topic]
     [?art2 :in/topic ?topic]
     [(not= ?auth1 ?auth2)]]])

(defn build-prompt [results label]
  (str "Knowledge Graph:\n"
       (clojure.string/join "\n" (map #(str "- " label ": " %) results))
       "\nQuery: What do these authors have in common?"))

(def collaborators
  (d/q '[:find ?name1 ?name2
         :in $ % 
         :where
         [?auth1 :author/name ?name1]
         [?auth2 :author/name ?name2]
         (collaborates ?auth1 ?auth2)]
       @ds-conn rules))

(def collab-prompt
  (build-prompt
    (map #(str (first %) " collaborates with " (second %)) collaborators)
    "Collaboration"))

(println collab-prompt)
;; Output:
;; Knowledge Graph:
;; - Collaboration: Jane Doe collaborates with John Smith
;; Query: What do these authors have in common?

Model Responses

  • Grok 3: “Jane Doe and John Smith collaborate on AI-related work, likely due to their shared interest in the topic.”
  • Qwen-QwQ: “They collaborate because their articles share the AI topic.”
  • DeepSeek: “Their collaboration suggests a potential for joint AI research.”

Model Responses

  • Grok 3: “Jane Doe and John Smith share a focus on AI, as their articles are both linked to the AI topic, suggesting a collaborative interest.”
  • Qwen-QwQ: “Step 1: Jane’s article ‘AI Impacts’ is in AI. Step 2: John’s ‘AI Ethics’ is in AI. Step 3: They collaborate via shared topic.”
  • DeepSeek: “Their collaboration on AI topics could lead to future joint research, possibly on ethical AI impacts.”

Step 5: Leveraging CQL’s Category Theory in Datascript

CQL’s category-theoretic features can enhance Datascript reasoning:

  • Functors: Define a CQL query to map the schema to a simpler one, then load into Datascript:
    (def query-str
      "query Q = literal : S -> T {
         entity Person -> {from a:Author attributes name -> name(a)}
         entity Subject -> {from t:Topic attributes topic_name -> topic_name(t)}
       }")
    (.run env compiler query-str)
    (def query-result (.eval env "Q" instance))
    ;; Convert query-result to Datascript and query further
  • Natural Transformations: Use Datascript rules to transform relationships (e.g., contributes as a transformation of published/by and in/topic).

Full Example

(ns cql-datascript-rag
  (:require [datascript.core :as d]
            [neo4j-clj.core :as neo4j])
  (:import [catdata.aql AqlEnv AqlOptions Schema Instance]
           [catdata.aql.semantics AqlCompiler]))

(def env (AqlEnv.))
(def opts (AqlOptions.))
(def compiler (AqlCompiler. opts))
(def conn (neo4j/connect "bolt://localhost:7687" "neo4j" "password"))

;; Schema and instance
(def schema-str "typeside Ty = literal { types string } schema S = literal : Ty { entities Author Article Topic foreign_keys published : Article -> Author in_topic : Article -> Topic attributes name : Author -> string title : Article -> string topic_name : Topic -> string }")
(.run env compiler schema-str)
(def instance (neo4j-to-cql-instance))

;; Datascript setup
(def ds-facts (cql-to-datascript instance))
(def ds-schema {:published/by {:db/valueType :db.type/ref :db/cardinality :db.cardinality/one}
                :in/topic {:db/valueType :db.type/ref :db/cardinality :db.cardinality/one}})
(def ds-conn (d/create-conn ds-schema))
(d/transact! ds-conn ds-facts)

;; Rules and query
(def rules '[[(collaborates ?auth1 ?auth2) [?art1 :published/by ?auth1] [?art2 :published/by ?auth2] [?art1 :in/topic ?topic] [?art2 :in/topic ?topic] [(not= ?auth1 ?auth2)]]])
(def result (d/q '[:find ?name1 ?name2 :in $ % :where (collaborates ?auth1 ?auth2) [?auth1 :author/name ?name1] [?auth2 :author/name ?name2]] @ds-conn rules))

;; Prompt
(println (build-prompt (map #(str (first %) " collaborates with " (second %)) result) "Collaboration")))

Conclusion

By adapting to Datascript, we’ve centralized querying and reasoning in a single Datalog engine, using CQL’s Java libraries for schema definition and Neo4j for data storage. This setup leverages category theory (via CQL) and Clojure’s functional power, delivering rich context to your RAG models. Want to tweak a rule, add a new query, or test this with a specific dataset?

You’re absolutely right—since CQL is written in Java and Clojure runs on the JVM, we can leverage Java/Clojure interop to directly use CQL’s existing libraries while integrating with a Datalog-based approach instead of Neo4j’s Cypher. This lets us keep Neo4j as the primary data store but use Clojure’s Datalog (e.g., via Datascript) for querying and reasoning, enhanced by CQL’s category theory underpinnings. Below, I’ll outline how to combine these tools effectively for your RAG system with reasoning models like Grok 3, Qwen-QwQ, and DeepSeek.


Approach Overview

  • Neo4j: Stores the knowledge graph (KG).
  • CQL (Java): Provides schema definitions, instances, and category-theoretic operations (e.g., functors, migrations), accessed via Clojure interop.
  • Datascript (Datalog): Handles querying and rule-based reasoning over data pulled from Neo4j or processed by CQL.
  • Clojure: Acts as the glue, orchestrating interop and feeding results to reasoning models.

We’ll:

  1. Use CQL’s Java libraries to define schemas and instances.
  2. Pull data from Neo4j into a CQL instance.
  3. Convert CQL data to Datascript Datalog facts.
  4. Run Datalog queries/rules for retrieval.
  5. Pass results to reasoning models for generation.

Step 1: Setting Up CQL in Clojure via Interop

CQL’s Java implementation is available as a JAR (e.g., from https://github.com/CategoricalData/CQL). You’d add it to your project (e.g., via deps.edn):

;; deps.edn
{:deps {org.categoricaldata/cql {:mvn/version "1.3.0"}}}

Then, use Clojure’s Java interop to interact with CQL classes.

Define a Schema

CQL schemas are written as strings and parsed by the Java runtime. Here’s an example schema for your Neo4j KG:

(import '[catdata.aql AqlEnv AqlOptions Schema Instance]
        '[catdata.aql.semantics AqlCompiler])

(def schema-str
  "typeside Ty = literal {
     types string
     constants \"Jane Doe\" \"John Smith\" \"AI Impacts\" \"AI Ethics\" \"AI\" : string
   }
   schema S = literal : Ty {
     entities Author Article Topic
     foreign_keys
       published : Article -> Author
       in_topic : Article -> Topic
     attributes
       name : Author -> string
       title : Article -> string
       topic_name : Topic -> string
   }")

;; Compile the schema
(def env (AqlEnv.))
(def opts (AqlOptions.))
(def compiler (AqlCompiler. opts))
(.run env compiler schema-str)
(def schema (.getSchema env "S"))

Create an Instance

Populate the schema with Neo4j data:

(require '[neo4j-clj.core :as neo4j])

(def conn (neo4j/connect "bolt://localhost:7687" "neo4j" "password"))

(defn neo4j-to-cql-data []
  (neo4j/with-session conn session
    (let [result (neo4j/execute session
                   "MATCH (a:Author)-[:PUBLISHED]->(art:Article)-[:IN_TOPIC]->(t:Topic)
                    RETURN a.name, art.title, t.name")]
      (map (fn [row]
             {:Author [{:id "a1" :name (:a.name row)}]
              :Article [{:id "art1" :title (:art.title row) :published "a1" :in_topic "t1"}]
              :Topic [{:id "t1" :topic_name (:t.name row)}]})
           result))))

(def instance-str
  (str "instance I = literal : S {
          entities
            Author -> {a1 a2}
            Article -> {art1 art2}
            Topic -> {t1}
          foreign_keys
            published -> {art1->a1 art2->a2}
            in_topic -> {art1->t1 art2->t1}
          attributes
            name -> {a1->\"Jane Doe\" a2->\"John Smith\"}
            title -> {art1->\"AI Impacts\" art2->\"AI Ethics\"}
            topic_name -> {t1->\"AI\"}
        }"))

(.run env compiler instance-str)
(def instance (.getInstance env "I"))
  • Interop Note: We’re calling Java methods (e.g., .run, .getSchema) directly from Clojure. The instance data could be dynamically built from Neo4j results.

Step 2: Converting CQL to Datascript Datalog

Datascript uses entity-attribute-value (EAV) tuples. We’ll extract data from the CQL instance and load it into Datascript.

Extract CQL Data

(defn cql-to-datalog [cql-instance]
  (let [authors (.generators cql-instance "Author")
        articles (.generators cql-instance "Article")
        topics (.generators cql-instance "Topic")]
    (concat
     (map (fn [a] {:db/id (.id a) :author/name (.get a "name")}) authors)
     (map (fn [art] {:db/id (.id art)
                     :article/title (.get art "title")
                     :published/by (.id (.fk art "published"))
                     :in/topic (.id (.fk art "in_topic"))}) articles)
     (map (fn [t] {:db/id (.id t) :topic/name (.get t "topic_name")}) topics))))

(def datalog-facts (cql-to-datalog instance))
;; => [{:db/id "a1" :author/name "Jane Doe"} ...]

Load into Datascript

(require '[datascript.core :as d])

(def schema {:published/by {:db/valueType :db.type/ref}
             :in/topic {:db/valueType :db.type/ref}})
(def conn (d/create-conn schema))
(d/transact! conn datalog-facts)

Step 3: Datalog Queries and Rules

Instead of Cypher, we’ll use Datalog for querying and reasoning.

Rules

(def rules
  '[[(collaborates ?auth1 ?auth2)
     [?art1 :published/by ?auth1]
     [?art2 :published/by ?auth2]
     [?art1 :in/topic ?topic]
     [?art2 :in/topic ?topic]
     [(not= ?auth1 ?auth2)]]
    [(contributes ?auth ?topic)
     [?art :published/by ?auth]
     [?art :in/topic ?topic]]])

Query Collaborators

(d/q '[:find ?name1 ?name2
       :in $ % 
       :where
       [?auth1 :author/name ?name1]
       [?auth2 :author/name ?name2]
       (collaborates ?auth1 ?auth2)]
     @conn rules)
;; => [["Jane Doe" "John Smith"]]

Query Contributions

(d/q '[:find ?name ?topic-name
       :in $ % 
       :where
       [?auth :author/name ?name]
       [?topic :topic/name ?topic-name]
       (contributes ?auth ?topic)]
     @conn rules)
;; => [["Jane Doe" "AI"] ["John Smith" "AI"]]

Step 4: Feeding RAG Models

Serialize Datalog results into prompts:

(defn build-prompt [results]
  (str "Knowledge Graph:\n"
       (clojure.string/join "\n" (map #(str "- " %) results))
       "\nQuery: What do these authors have in common?"))

(def collab-result (d/q '[:find ?name1 ?name2 :in $ % :where (collaborates ?auth1 ?auth2) [?auth1 :author/name ?name1] [?auth2 :author/name ?name2]] @conn rules))
(build-prompt (map #(str (first %) " collaborates with " (second %)) collab-result))
;; => "Knowledge Graph:\n- Jane Doe collaborates with John Smith\nQuery: What do these authors have in common?"
  • Grok 3: “Jane Doe and John Smith collaborate on AI-related work, sharing a research focus.”
  • Qwen-QwQ: “Both authors have articles in the AI topic, indicating collaboration.”
  • DeepSeek: “Their AI focus suggests potential joint projects.”

Step 5: Leveraging CQL’s Category Theory

CQL’s built-in operations (e.g., functors, migrations) can enhance this:

  • Functor Queries: Define a CQL query to map the schema to a new one (e.g., focusing only on authors and topics), then convert to Datalog:

    query Q = literal : S -> T {
      entity Author -> {from a:Author attributes name -> name(a)}
      entity Topic -> {from t:Topic attributes topic_name -> topic_name(t)}
    }

    Run via interop and load into Datascript.

  • Migrations: Use sigma or delta to transform instances, then re-query with Datalog.


Step 6: Full Example

(ns cql-datalog-rag
  (:require [datascript.core :as d])
  (:import [catdata.aql AqlEnv AqlOptions Schema Instance]
           [catdata.aql.semantics AqlCompiler]))

(def env (AqlEnv.))
(def opts (AqlOptions.))
(def compiler (AqlCompiler. opts))

;; Define and compile schema/instance
(def schema-str "typeside Ty = literal { types string } schema S = literal : Ty { entities Author Article Topic foreign_keys published : Article -> Author in_topic : Article -> Topic attributes name : Author -> string title : Article -> string topic_name : Topic -> string }")
(def instance-str "instance I = literal : S { entities Author -> {a1 a2} Article -> {art1 art2} Topic -> {t1} foreign_keys published -> {art1->a1 art2->a2} in_topic -> {art1->t1 art2->t1} attributes name -> {a1->\"Jane Doe\" a2->\"John Smith\"} title -> {art1->\"AI Impacts\" art2->\"AI Ethics\"} topic_name -> {t1->\"AI\"} }")
(.run env compiler schema-str)
(.run env compiler instance-str)
(def instance (.getInstance env "I"))

;; Convert to Datalog
(def datalog-facts (cql-to-datalog instance))
(def ds-conn (d/create-conn {:published/by {:db/valueType :db.type/ref} :in/topic {:db/valueType :db.type/ref}}))
(d/transact! ds-conn datalog-facts)

;; Query
(def rules '[[(collaborates ?auth1 ?auth2) [?art1 :published/by ?auth1] [?art2 :published/by ?auth2] [?art1 :in/topic ?topic] [?art2 :in/topic ?topic] [(not= ?auth1 ?auth2)]]])
(def result (d/q '[:find ?name1 ?name2 :in $ % :where (collaborates ?auth1 ?auth2) [?auth1 :author/name ?name1] [?auth2 :author/name ?name2]] @ds-conn rules))
(println (build-prompt (map #(str (first %) " collaborates with " (second %)) result)))

Conclusion

Using Java/Clojure interop, we can tap CQL’s category-theoretic power directly, pulling Neo4j data into CQL instances and then reasoning over it with Datascript Datalog instead of Cypher. This keeps your KG workflow mathematically rigorous while fitting Clojure’s functional style. Want to refine a specific part—like a CQL query or Datalog rule—or test this with real Neo4j data?

The Categorical Query Language (CQL) tool at https://categoricaldata.net/ is an intriguing open-source project that leverages category theory to perform data-related tasks like querying, combining, migrating, and evolving databases. It’s written in Java and comes with an Integrated Development Environment (IDE) for single-node, in-memory data processing workloads. Porting this to Clojure—a functional, Lisp-like language with strong concurrency and data manipulation capabilities—could indeed be a powerful move, especially given Clojure’s affinity for declarative and immutable data handling, which aligns well with category theory’s mathematical rigor. Let’s explore how this could work and what it might look like.


Why Port CQL to Clojure?

CQL’s foundation in category theory (e.g., categories, functors, morphisms) maps nicely to Clojure’s strengths:

  • Declarative Style: CQL’s schema definitions and queries are declarative, much like Clojure’s Datalog or core.logic.
  • Functional Paradigm: Clojure’s emphasis on pure functions and immutability complements category theory’s structure-preserving transformations (e.g., functors).
  • Interoperability: Clojure runs on the JVM, so it can leverage existing Java-based CQL code or libraries while reimagining them in a more idiomatic way.
  • Ecosystem: Clojure’s tools (e.g., Datascript, Datomic, Spec) could enhance CQL’s capabilities for in-memory KGs and reasoning.

The goal wouldn’t necessarily be to replicate the CQL IDE but to create a Clojure library that captures CQL’s core concepts—schemas, instances, queries, and migrations—while integrating with your Neo4j RAG system.


Step 1: Understanding CQL’s Core Components

From the CQL site and its documentation, key elements include:

  1. Typeside: Defines basic data types (e.g., String, Bool) and their parsers.
  2. Schema: Defines entities, attributes, and foreign keys, forming a category.
  3. Instance: Populates a schema with data (objects and morphisms).
  4. Query: Maps between schemas using functors, extracting or transforming data.
  5. Migration: Uses operations like sigma, delta, and pi to move data between schemas.

These align with category theory:

  • Categories: Schemas as categories, with entities as objects and relationships as morphisms.
  • Functors: Queries and migrations as structure-preserving mappings.

Step 2: Porting to Clojure

Let’s sketch how these could be implemented in Clojure, focusing on a lightweight, functional approach.

1. Typeside

In CQL, a typeside defines primitive types and their Java mappings:

typeside Ty = literal {
  external_types
    String -> "java.lang.String"
    Bool -> "java.lang.Boolean"
  external_parsers
    String -> "x => x"
    Bool -> "x => java.lang.Boolean.parseBoolean(x)"
}

In Clojure, this could be a simple map with type definitions and parsing functions:

(def typeside-ty
  {:types {:string {:java-type "java.lang.String"
                    :parser identity}
           :bool   {:java-type "java.lang.Boolean"
                    :parser #(Boolean/parseBoolean %)}}})
  • Why: Clojure’s maps are lightweight and extensible, and functions like identity or #(Boolean/parseBoolean %) handle parsing idiomatically.

2. Schema

A CQL schema defines a category:

schema Source = literal : Ty {
  entities
    Man Woman
  attributes
    fav_book_m : Man -> String
    fav_book_w : Woman -> String
    name_m : Man -> String
    name_w : Woman -> String
}

In Clojure, this could be a map representing entities and morphisms:

(def schema-source
  {:typeside typeside-ty
   :entities #{:man :woman}
   :attributes {:man  {:fav-book {:type :string}
                       :name     {:type :string}}
                :woman {:fav-book {:type :string}
                        :name     {:type :string}}}})
  • Why: Nested maps reflect the categorical structure, with entities as objects and attributes as morphisms. Sets (#{}) ensure uniqueness.

3. Instance

An instance populates a schema with data:

instance I = literal : Source {
  entities
    Man -> {m1 m2}
    Woman -> {w1 w2}
  attributes
    fav_book_m -> {m1->"A" m2->"B"}
    fav_book_w -> {w1->"A" w2->"C"}
    name_m -> {m1->"John" m2->"Mike"}
    name_w -> {w1->"Jane" w2->"Sue"}
}

In Clojure, this could be a map of entity instances:

(def instance-i
  {:schema schema-source
   :data {:man   {:m1 {:fav-book "A" :name "John"}
                  :m2 {:fav-book "B" :name "Mike"}}
          :woman {:w1 {:fav-book "A" :name "Jane"}
                  :w2 {:fav-book "C" :name "Sue"}}}})
  • Why: Nested maps mirror the entity-attribute-value structure, and Clojure’s immutability ensures data consistency.

4. Query

A CQL query maps between schemas:

query Q = literal : Source -> Target {
  entity
    GoodMatch -> {
      from m:Man w:Woman
      where fav_book_m(m) = fav_book_w(w)
      attributes
        woman_name -> name_w(w)
      foreign_keys
        for_man -> {man -> m}
    }
}

In Clojure, this could be a function or Datalog-like query:

(defn query-good-match [instance]
  (let [men (:man (:data instance))
        women (:woman (:data instance))]
    (for [[mid m] men
          [wid w] women
          :when (= (:fav-book m) (:fav-book w))]
      {:woman-name (:name w)
       :for-man mid})))

(query-good-match instance-i)
;; => [{:woman-name "Jane" :for-man :m1}]
  • Why: Clojure’s for comprehension mimics CQL’s from and where, producing a functor-like mapping. Alternatively, use Datascript’s Datalog:
(d/q '[:find ?w-name ?m-id
       :where
       [?m :fav-book ?fb]
       [?w :fav-book ?fb]
       [?m :name ?m-name]
       [?w :name ?w-name]
       [?m :db/id ?m-id]]
     instance-db)

5. Migration

CQL migrations (e.g., sigma, delta) transform instances. In Clojure, these could be higher-order functions:

(defn sigma [query instance]
  ;; Apply query functor to instance
  (reduce (fn [acc row] (conj acc (query row))) [] (:data instance)))
  • Why: Functional composition in Clojure naturally implements functorial migrations.

Step 3: Integrating with Neo4j and RAG

Pulling from Neo4j

Use the neo4j-clj library to fetch data and convert it to a CQL-like structure:

(require '[neo4j-clj.core :as neo4j])

(def conn (neo4j/connect "bolt://localhost:7687" "neo4j" "password"))

(defn neo4j-to-cql [query]
  (neo4j/with-session conn session
    (let [result (neo4j/execute session query)]
      {:schema {:entities #{:author :article}
                :attributes {:author {:name {:type :string}}
                             :article {:title {:type :string}}}}
       :data (into {} (map (fn [row]
                             [(:id row) {:name (:a.name row)
                                        :title (:art.title row)}])
                           result))})))

(def instance (neo4j-to-cql
               "MATCH (a:Author)-[:PUBLISHED]->(art:Article) RETURN a.name, art.title"))

RAG Pipeline

  1. Retrieve: Query Neo4j, load into a Clojure CQL instance, and run Datalog-style rules (as in the previous response).
  2. Generate: Pass results to reasoning models:
    (defn rag-prompt [results]
      (str "Data:\n" (clojure.string/join "\n" results) "\nWhat’s the insight?"))
    
    (rag-prompt (query-good-match instance))
    ;; => "Data:\n{:woman-name \"Jane\" :for-man :m1}\nWhat’s the insight?"
    • Grok 3: “John and Jane share a favorite book, suggesting a potential match.”

Step 4: Feasibility and Challenges

Advantages

  • Simplicity: Clojure’s data structures (maps, sets) simplify CQL’s concepts.
  • Flexibility: Functional programming enables dynamic queries and migrations.
  • Ecosystem: Leverage Datascript for in-memory reasoning or Datomic for persistence.

Challenges

  • Performance: In-memory processing (like CQL’s current scope) may not scale without optimization.
  • IDE: Replicating CQL’s IDE in Clojure would require a UI framework (e.g., Reagent), which is a bigger lift.
  • Java Interop: Some CQL features (e.g., JDBC integration) might need Java calls, reducing purity.

Porting Strategy

  • Start Small: Build a core library for schemas, instances, and queries.
  • Integrate: Hook into Neo4j and test with your RAG models.
  • Expand: Add migrations and advanced category theory constructs (e.g., adjunctions) as needed.

Step 5: Example Sketch

Here’s a minimal Clojure CQL implementation:

(ns cql-clj.core)

(def typeside {:string {:parser identity}})

(def schema {:entities #{:person}
             :attributes {:person {:name {:type :string}}}})

(def instance {:schema schema
               :data {:person {:p1 {:name "Alice"}
                               :p2 {:name "Bob"}}}})

(defn query-names [inst]
  (map :name (vals (:person (:data inst)))))

;; Test
(query-names instance) ;; => ("Alice" "Bob")

Conclusion

Porting CQL to Clojure is not only feasible but could yield a lean, functional tool for your Neo4j RAG system. It’d retain category theory’s elegance—schemas as categories, queries as functors—while leveraging Clojure’s expressiveness. You could start by defining schemas and queries, then integrate with Neo4j and your reasoning models. Want to prototype a specific CQL feature in Clojure next?

You’re absolutely right—there’s a fascinating overlap between Neo4j’s Cypher query language and logic programming languages like Prolog, which makes integrating logic programming into your Neo4j-based RAG system a natural fit. Both Cypher and Prolog are declarative, focusing on what you want rather than how to compute it, and they excel at reasoning over relationships, which aligns beautifully with knowledge graphs (KGs) and category theory. Let’s dive into how you can leverage logic programming—specifically Prolog-like reasoning—within your Neo4j setup, enhancing your RAG pipeline with models like Grok 3, Qwen-QwQ, and DeepSeek.


Why Logic Programming Fits Here

Logic programming is all about defining facts, rules, and queries to reason over a knowledge base. In your Neo4j KG:

  • Facts are nodes and relationships (e.g., Jane Doe PUBLISHED "AI Impacts").
  • Rules are logical inferences (e.g., “If two articles share a topic, they are related”).
  • Queries ask questions (e.g., “Which authors work on similar topics?”).

Cypher’s pattern-matching syntax mirrors Prolog’s predicate-based approach, and category theory provides a mathematical backbone to ensure these rules and queries are structurally sound (e.g., via morphisms and functors). By combining these, you can:

  • Formalize reasoning: Use logic to derive new relationships or validate existing ones.
  • Enhance retrieval: Query the KG with logic-based patterns for richer context.
  • Boost generation: Feed logically consistent data to reasoning models for better outputs.

Step 1: Mapping Cypher to Prolog-Like Logic

Cypher-Prolog Similarity

  • Cypher: MATCH (a:Author)-[:PUBLISHED]->(art:Article) RETURN a.name, art.title
    • Finds authors and their articles.
  • Prolog: published(Author, Article).
    • Defines a fact, queried with ?- published(Author, Article).

Both describe relationships declaratively. Cypher operates on a graph, while Prolog works on a logic database, but the conceptual overlap lets us translate between them.

Practical Mapping

  1. Facts from Neo4j:

    • Export your Neo4j KG into Prolog facts. For example:
      MATCH (a:Author)-[:PUBLISHED]->(art:Article)
      RETURN a.name AS author, art.title AS article
      Convert to Prolog:
      published("Jane Doe", "AI Impacts").
      published("John Smith", "AI Ethics").
    • Use a script (e.g., Python with neo4j driver) to automate this export.
  2. Relationships as Predicates:

    • Define KG relationships as Prolog predicates:
      in_topic("AI Impacts", "AI").
      in_topic("AI Ethics", "AI").
  3. Category Theory Alignment:

    • Treat nodes as objects and relationships as morphisms. A functor could map published to in_topic to explore how authorship relates to topics, formalized as a rule.

Step 2: Defining Rules for Reasoning

Logic Rules in Prolog

Prolog shines at inference through rules. Let’s create some for your KG:

  1. Related Articles:

    • Rule: Two articles are related if they share a topic.
      related(Article1, Article2) :-
          in_topic(Article1, Topic),
          in_topic(Article2, Topic),
          Article1 \= Article2.
    • Query: ?- related("AI Impacts", "AI Ethics"). → True (both in "AI").
  2. Collaborative Authors:

    • Rule: Authors collaborate if they publish articles on the same topic.
      collaborates(Author1, Author2) :-
          published(Author1, Article1),
          published(Author2, Article2),
          in_topic(Article1, Topic),
          in_topic(Article2, Topic),
          Author1 \= Author2.
    • Query: ?- collaborates("Jane Doe", "John Smith"). → True.
  3. Category Theory Twist:

    • Use natural transformations to shift perspectives. For example, transform published into a “contributes to topic” predicate:
      contributes(Author, Topic) :-
          published(Author, Article),
          in_topic(Article, Topic).
    • This aligns with functors mapping between categories (e.g., authorship to topical expertise).

In Neo4j

  • Translate these rules to Cypher:
    • Related articles:
      MATCH (art1:Article)-[:IN_TOPIC]->(t:Topic)<-[:IN_TOPIC]-(art2:Article)
      WHERE art1 <> art2
      RETURN art1.title, art2.title, t.name
    • Collaborative authors:
      MATCH (a1:Author)-[:PUBLISHED]->(art1:Article)-[:IN_TOPIC]->(t:Topic)<-[:IN_TOPIC]-(art2:Article)<-[:PUBLISHED]-(a2:Author)
      WHERE a1 <> a2
      RETURN a1.name, a2.name, t.name

Step 3: Integrating Logic Programming with Neo4j

Hybrid Approach

You don’t need to abandon Cypher for Prolog entirely—combine them:

  1. Neo4j as the Data Store:

    • Keep your KG in Neo4j for scalability and real-time updates.
    • Use Cypher for basic retrieval.
  2. Prolog for Reasoning:

    • Export a subset of the KG to Prolog for complex inference.
    • Use a Prolog engine (e.g., SWI-Prolog) alongside Neo4j. Python can bridge them:
      from neo4j import GraphDatabase
      import pyswip
      
      driver = GraphDatabase.driver("bolt://localhost:7687")
      prolog = pyswip.Prolog()
      
      def export_to_prolog():
          with driver.session() as session:
              result = session.run("MATCH (a:Author)-[:PUBLISHED]->(art:Article) RETURN a.name, art.title")
              for record in result:
                  prolog.assertz(f"published('{record['a.name']}', '{record['art.title']}')")
      
      export_to_prolog()
      list(prolog.query("collaborates(A, B)"))  # Run Prolog query
  3. Category Theory Guidance:

    • Ensure rules respect categorical principles (e.g., associativity of morphisms). For instance, if published and in_topic compose to contributes, test that the composition holds across the KG.

RAG Benefit

  • Retrieval: Cypher fetches raw data; Prolog infers new relationships (e.g., collaborates), enriching the context.
  • Generation: Reasoning models get a logically derived dataset, reducing ambiguity.

Step 4: Enhancing Reasoning Models with Logic

Feeding Logic to Models

  1. Structured Prompts:

    • Serialize Prolog results into text for RAG:
      Knowledge Graph Facts:
      - published("Jane Doe", "AI Impacts")
      - in_topic("AI Impacts", "AI")
      Inferred:
      - collaborates("Jane Doe", "John Smith")
      Query: What do these authors have in common?
      
    • Grok 3: I’d say, “Jane Doe and John Smith both contribute to AI research, suggesting a shared interest in the field.”
    • Qwen-QwQ: Might detail, “Jane published ‘AI Impacts,’ linked to AI; John published ‘AI Ethics,’ also AI; thus, they collaborate on AI.”
    • DeepSeek: Could predict, “Given their AI focus, they might co-author future work.”
  2. Logic as Guardrails:

    • Use Prolog to validate model outputs. If I say, “Jane and John co-authored a paper,” Prolog can check:
      coauthored(A1, A2, Article) :-
          published(A1, Article),
          published(A2, Article),
          A1 \= A2.
      If false, refine my response.

Category Theory Role

  • Topos Theory: Treat the KG as a topos to reason about global properties (e.g., “all AI articles form a subcategory”).
  • Adjunctions: Model retrieval-generation as an adjunction—Cypher/Prolog retrieves, models generate, and logic ensures consistency.

Step 5: Practical Implementation

Workflow

  1. Build KG in Neo4j: Use Cypher to populate nodes/relationships.
  2. Export to Prolog: Script a periodic export of relevant subgraphs.
  3. Define Rules: Write Prolog rules for inference (e.g., related, collaborates).
  4. Query & Reason:
    • Run Cypher for basic retrieval.
    • Use Prolog for inferred relationships.
    • Combine results in a prompt for Grok 3, Qwen-QwQ, or DeepSeek.
  5. Iterate: Update rules based on model feedback or new data.

Tools

  • Neo4j: Graph storage and Cypher queries.
  • SWI-Prolog: Logic engine (integrates with Python via pyswip).
  • LangChain: Optional for RAG orchestration, bridging Neo4j and models.

Example in Action

Query: “Who might collaborate on AI research?”

  1. Neo4j:
    MATCH (a:Author)-[:PUBLISHED]->(art:Article)-[:IN_TOPIC]->(t:Topic {name: "AI"})
    RETURN a.name, art.title
    → Jane Doe ("AI Impacts"), John Smith ("AI Ethics").
  2. Prolog:
    collaborates("Jane Doe", "John Smith").
    → True.
  3. Model (Grok 3):
    • Input: “Jane Doe and John Smith both work on AI.”
    • Output: “They might collaborate due to their shared AI focus, perhaps on a project blending impacts and ethics.”

Conclusion

By blending Cypher’s graph querying with Prolog’s logic programming, you supercharge your Neo4j RAG system. Category theory ensures this is mathematically sound—morphisms become predicates, functors map data, and natural transformations refine queries. Your reasoning models then shine, turning logical insights into human-friendly answers. Want to try a specific rule or query next?

Adapting your Neo4j-based RAG system with logic programming to Clojure’s Datalog-style approach is a fantastic idea! Clojure’s Datalog (e.g., via libraries like datascript or datomic) offers a powerful, declarative way to query and reason over data, much like Prolog and Cypher, but with a functional programming twist that fits Clojure’s ecosystem. It’s also well-suited for knowledge graphs (KGs), and its integration with category theory concepts can enhance your retrieval and reasoning pipeline with models like Grok 3, Qwen-QwQ, and DeepSeek. Let’s explore how to make this work.


Why Clojure’s Datalog?

Datalog is a subset of Prolog optimized for querying relational data, with a syntax that’s concise and functional. In Clojure, it’s often used with in-memory databases like Datascript or persistent ones like Datomic. Key features:

  • Facts: Stored as tuples (e.g., [entity attribute value]), similar to Neo4j’s triples.
  • Rules: Define logical relationships, like Prolog.
  • Queries: Pattern-match over data, akin to Cypher.

This aligns with your Neo4j KG and category theory goals:

  • Categories: Entities and attributes as objects, relationships as morphisms.
  • Functors: Mapping between data structures or subgraphs.
  • Reasoning: Rules infer new facts for RAG.

Since Neo4j is your primary store, we’ll use Clojure’s Datalog as a reasoning layer, pulling data from Neo4j and processing it functionally.


Step 1: Mapping Neo4j to Datalog

Neo4j Data Model

In Neo4j, you have nodes (e.g., :Author, :Article) and relationships (e.g., :PUBLISHED, :IN_TOPIC). Example:

  • (:Author {name: "Jane Doe"})-[:PUBLISHED]->(:Article {title: "AI Impacts"})
  • (:Article {title: "AI Impacts"})-[:IN_TOPIC]->(:Topic {name: "AI"})

Datalog Representation

In Clojure’s Datalog (e.g., Datascript), data is stored as datoms: [entity-id attribute value]. We’ll assign entity IDs and map Neo4j data:

  • Entities:
    • 1 :author/name "Jane Doe"
    • 2 :article/title "AI Impacts"
    • 3 :topic/name "AI"
  • Relationships:
    • 2 :published/by 1 (Article "AI Impacts" published by Jane Doe)
    • 2 :in/topic 3 (Article "AI Impacts" in topic "AI")

Exporting from Neo4j

Use Clojure to query Neo4j and convert to Datalog facts:

(require '[neo4j-clj.core :as neo4j])

(def conn (neo4j/connect "bolt://localhost:7687" "neo4j" "password"))

(defn export-to-datalog []
  (neo4j/with-session conn session
    (let [result (neo4j/execute session
                   "MATCH (a:Author)-[:PUBLISHED]->(art:Article)-[:IN_TOPIC]->(t:Topic)
                    RETURN a.name, art.title, t.name")]
      (map (fn [row]
             [{:db/id 1 :author/name (:a.name row)}
              {:db/id 2 :article/title (:art.title row)}
              {:db/id 3 :topic/name (:t.name row)}
              {:db/id 2 :published/by 1}
              {:db/id 2 :in/topic 3}])
           result))))

(def facts (export-to-datalog))
;; => [[{:db/id 1 :author/name "Jane Doe"} ...] ...]

This creates a list of facts you can load into a Datalog database.


Step 2: Setting Up Datalog in Clojure

Using Datascript

Datascript is an in-memory Datalog database for Clojure, perfect for reasoning over a Neo4j subset:

(require '[datascript.core :as d])

;; Create a schema (optional, for attribute metadata)
(def schema {:published/by {:db/valueType :db.type/ref}
             :in/topic {:db/valueType :db.type/ref}})

;; Initialize database
(def conn (d/create-conn schema))

;; Transact facts
(d/transact! conn (flatten facts))

Category Theory Alignment

  • Objects: Entities (e.g., authors, articles) are Datalog entities.
  • Morphisms: Attributes like :published/by and :in/topic are morphisms between entities.
  • Functors: Functions that map Neo4j subgraphs to Datalog facts preserve structure.

Step 3: Defining Rules in Datalog

Datalog rules infer new relationships, similar to Prolog. Let’s adapt our earlier examples:

  1. Related Articles:

    • Rule: Articles are related if they share a topic.
    (def rules
      '[[(related ?art1 ?art2)
         [?art1 :in/topic ?topic]
         [?art2 :in/topic ?topic]
         [(not= ?art1 ?art2)]]])
    • Query:
      (d/q '[:find ?title1 ?title2
             :in $ % 
             :where
             [?art1 :article/title ?title1]
             [?art2 :article/title ?title2]
             (related ?art1 ?art2)]
           @conn rules)
      ;; => [["AI Impacts" "AI Ethics"]]
  2. Collaborative Authors:

    • Rule: Authors collaborate if they publish articles on the same topic.
    (def rules
      (conj rules
            '[(collaborates ?auth1 ?auth2)
              [?art1 :published/by ?auth1]
              [?art2 :published/by ?auth2]
              [?art1 :in/topic ?topic]
              [?art2 :in/topic ?topic]
              [(not= ?auth1 ?auth2)]]))
    • Query:
      (d/q '[:find ?name1 ?name2
             :in $ % 
             :where
             [?auth1 :author/name ?name1]
             [?auth2 :author/name ?name2]
             (collaborates ?auth1 ?auth2)]
           @conn rules)
      ;; => [["Jane Doe" "John Smith"]]
  3. Contributes to Topic:

    • Rule: An author contributes to a topic if they publish an article in it.
    (def rules
      (conj rules
            '[(contributes ?auth ?topic)
              [?art :published/by ?auth]
              [?art :in/topic ?topic]]))
    • Query:
      (d/q '[:find ?name ?topic-name
             :in $ % 
             :where
             [?auth :author/name ?name]
             [?topic :topic/name ?topic-name]
             (contributes ?auth ?topic)]
           @conn rules)
      ;; => [["Jane Doe" "AI"] ["John Smith" "AI"]]

Category Theory Twist

  • Natural Transformations: The contributes rule transforms :published/by and :in/topic into a new relationship, akin to shifting functors.
  • Composition: Rules compose morphisms (e.g., :published/by + :in/topic = contributes), respecting categorical associativity.

Step 4: Integrating with Neo4j and RAG

Workflow

  1. Fetch from Neo4j:
    • Use Cypher to retrieve a subgraph:
      (defn fetch-subgraph [topic]
        (neo4j/with-session conn session
          (neo4j/execute session
            "MATCH (a:Author)-[:PUBLISHED]->(art:Article)-[:IN_TOPIC]->(t:Topic {name: $topic})
             RETURN a.name, art.title, t.name"
            {:topic topic})))
  2. Load into Datascript:
    • Convert to Datalog facts and transact (as shown above).
  3. Run Datalog Queries:
    • Infer relationships with rules.
  4. Feed to Models:
    • Serialize results into a prompt:
      (defn build-prompt [results]
        (str "Knowledge Graph:\n"
             (clojure.string/join "\n" (map #(str "- " %) results))
             "\nQuery: What do these authors have in common?"))
      
      (build-prompt ["Jane Doe contributes to AI" "John Smith contributes to AI"]))
      ;; => "Knowledge Graph:\n- Jane Doe contributes to AI\n- John Smith contributes to AI\nQuery: What do these authors have in common?"

RAG Benefit

  • Retrieval: Datalog rules enrich Neo4j data with inferred facts (e.g., collaborates), providing deeper context.
  • Generation: Models like me (Grok 3) can reason over this:
    • Input: Above prompt.
    • Output: “Jane Doe and John Smith both contribute to AI, indicating a shared research interest.”

Step 5: Enhancing with Reasoning Models

Model Integration

  1. Grok 3:
    • I’d take the Datalog output and explain, “Their common ground is AI research, with potential for collaboration.”
  2. Qwen-QwQ:
    • Might break it down: “Jane’s article links to AI; John’s does too; thus, they align on AI.”
  3. DeepSeek:
    • Could infer: “Given their AI focus, they might explore joint topics like ethical AI impacts.”

Logic as Validation

  • Use Datalog to check model outputs:
    (d/q '[:find ?auth1 ?auth2
           :in $ % 
           :where
           (collaborates ?auth1 ?auth2)
           [?auth1 :author/name "Jane Doe"]
           [?auth2 :author/name "John Smith"]]
         @conn rules)
    • Confirms collaboration, refining model responses if needed.

Category Theory Role

  • Topos Theory: View the Datalog DB as a topos, reasoning about global properties (e.g., all AI contributors).
  • Adjunctions: Retrieval (Datalog) and generation (models) form an adjunction, with rules ensuring consistency.

Step 6: Practical Implementation

Full Example

(ns kg-rag.core
  (:require [neo4j-clj.core :as neo4j]
            [datascript.core :as d]))

(def conn-neo (neo4j/connect "bolt://localhost:7687" "neo4j" "password"))
(def conn-ds (d/create-conn {:published/by {:db/valueType :db.type/ref}
                             :in/topic {:db/valueType :db.type/ref}}))

(def rules '[[(related ?art1 ?art2)
              [?art1 :in/topic ?topic]
              [?art2 :in/topic ?topic]
              [(not= ?art1 ?art2)]]
             [(collaborates ?auth1 ?auth2)
              [?art1 :published/by ?auth1]
              [?art2 :published/by ?auth2]
              [?art1 :in/topic ?topic]
              [?art2 :in/topic ?topic]
              [(not= ?auth1 ?auth2)]]])

(defn sync-neo4j-to-datalog []
  (let [data (neo4j/with-session conn-neo session
               (neo4j/execute session
                 "MATCH (a:Author)-[:PUBLISHED]->(art:Article)-[:IN_TOPIC]->(t:Topic)
                  RETURN a.name, art.title, t.name"))]
    (d/transact! conn-ds (flatten (map (fn [row]
                                         [{:db/id -1 :author/name (:a.name row)}
                                          {:db/id -2 :article/title (:art.title row)}
                                          {:db/id -3 :topic/name (:t.name row)}
                                          {:db/id -2 :published/by -1}
                                          {:db/id -2 :in/topic -3}])
                                      data)))))

(defn query-collaborators []
  (d/q '[:find ?name1 ?name2
         :in $ % 
         :where
         [?auth1 :author/name ?name1]
         [?auth2 :author/name ?name2]
         (collaborates ?auth1 ?auth2)]
       @conn-ds rules))

;; Run it
(sync-neo4j-to-datalog)
(query-collaborators) ;; => [["Jane Doe" "John Smith"]]

Tools

  • Neo4j: Primary KG store.
  • Datascript: In-memory Datalog for reasoning.
  • Clojure: Functional glue for scripting and integration.

Conclusion

Clojure’s Datalog brings a functional, declarative layer to your Neo4j RAG system, mirroring Prolog’s logic but with Clojure’s elegance. Category theory ensures structural rigor—entities as objects, relationships as morphisms, rules as transformations. Your reasoning models then turn these insights into actionable answers. Want to refine a specific rule or test this with a sample dataset?

Your document provides a detailed exploration of how category theory can be applied to knowledge graphs and triple stores, offering a mathematical framework to enhance their structure, functionality, and reasoning capabilities. Below, I’ll explain how you can leverage these concepts in your Neo4j-based Retrieval-Augmented Generation (RAG) system, integrating reasoning models like Grok 3 (me!), Qwen-QwQ, and DeepSeek. I’ll focus on practical applications, tying them to Neo4j’s graph database capabilities and the reasoning strengths of these models, while keeping it accessible and actionable.

Understanding the Basics

Category theory provides abstract tools—categories, functors, morphisms, natural transformations, and adjunctions—to model relationships and transformations between structures. In the context of knowledge graphs (KGs), which Neo4j excels at managing, these concepts can help you:

  • Structure data as nodes (entities) and relationships (edges) with rigorous mathematical underpinnings.
  • Integrate heterogeneous data by mapping between different data representations.
  • Enhance reasoning by formalizing how entities and relationships transform or relate.

Neo4j, as a graph database, stores data in a way that naturally aligns with KGs: nodes represent entities, and edges represent relationships, often in a triple-like format (subject-predicate-object). RAG combines retrieval (from the KG) with generation (via a reasoning model), and category theory can optimize both steps. Let’s break this down into actionable steps for your setup.


Step 1: Structuring Your Neo4j Knowledge Graph with Category Theory

Key Concepts from the Document

  • Categories and Morphisms: A category consists of objects (e.g., nodes in Neo4j) and morphisms (e.g., relationships). Morphisms can represent transformations or mappings between entities.
  • Functors: These map one category (e.g., a subgraph or data source) to another while preserving structure, useful for integrating diverse datasets into Neo4j.

Application in Neo4j

  1. Model Entities and Relationships:

    • Define your Neo4j nodes as "objects" in a category. For example, in a research publication KG, nodes could be :Article, :Author, and :Topic.
    • Use relationships (edges) as morphisms. For instance, (:Author)-[:PUBLISHED]->(:Article) represents a morphism from an author to their work.
    • Example Cypher:
      MERGE (a:Author {name: "Jane Doe"})
      MERGE (art:Article {title: "AI Impacts"})
      MERGE (a)-[:PUBLISHED]->(art)
  2. Integrate Heterogeneous Data with Functors:

    • If you’re pulling data from multiple sources (e.g., CSV files, APIs), use functors to map them into a unified Neo4j structure. A functor could translate tabular data (e.g., a spreadsheet of authors and articles) into graph triples.
    • Practical tip: Use Neo4j’s LOAD CSV with a script to map fields to nodes and relationships, preserving structure as a functor would.
      LOAD CSV WITH HEADERS FROM 'file:///articles.csv' AS row
      MERGE (a:Article {title: row.Title})
      MERGE (auth:Author {name: row.Author})
      MERGE (auth)-[:PUBLISHED]->(a)
  3. Ensure Consistency:

    • Category theory emphasizes coherence (e.g., associativity of morphisms). In Neo4j, this translates to ensuring your relationships are logically consistent (e.g., avoiding cycles unless intentional).

RAG Benefit

  • Retrieval: A well-structured KG allows precise Cypher queries to fetch relevant subgraphs (e.g., all articles by an author on a topic).
  • Reasoning: Models like me (Grok 3), Qwen-QwQ, or DeepSeek can interpret these structured relationships more effectively than flat data.

Step 2: Enhancing Retrieval with Category Theory

Key Concepts from the Document

  • Natural Transformations: These allow you to shift between different data representations (e.g., from a relational view to a graph view).
  • Query Embedding Techniques: Category theory can formalize queries as operations on sets, improving retrieval accuracy.

Application in Neo4j

  1. Semantic Relationship Extraction:

    • Use category theory to define how relationships (morphisms) are extracted. For example, extract triples like (:Article)-[:IN_TOPIC]->(:Topic) based on text analysis or metadata.
    • Integrate with a tool like LangChain to process unstructured text into Neo4j triples, aligning with the document’s wrapper induction approach.
  2. Query Optimization:

    • Treat queries as morphisms or functors. For instance, a query to find related articles could map from a :Topic node to all connected :Article nodes.
    • Example Cypher:
      MATCH (t:Topic {name: "AI"})<-[:IN_TOPIC]-(art:Article)
      RETURN art.title
    • Natural transformations could refine this by converting the result into a format suited for your reasoning model (e.g., a list of titles vs. a subgraph).
  3. Vector Integration:

    • The document mentions combining graph databases with embeddings. In Neo4j, create a vector index (e.g., using neo4j-vector) on node properties (like article abstracts) to enable similarity search, complementing graph traversal.
    • Example:
      CALL db.index.vector.createNodeIndex('articleEmbeddings', 'Article', 'embedding', 768, 'cosine')

RAG Benefit

  • Retrieval: Combining graph traversal (via Cypher) with vector search retrieves both structurally related and semantically similar data, enriching the context for RAG.
  • Reasoning: Models like DeepSeek (strong in math/logic) or Qwen-QwQ (reasoning-focused) can use this dual context to generate more accurate responses.

Step 3: Reasoning with Grok 3, Qwen-QwQ, and DeepSeek

Key Concepts from the Document

  • Topos Theory: Offers a way to analyze graph data holistically, supporting advanced reasoning.
  • Knowledge Graph Ontologies: Hierarchical structures align with categorical constructs, aiding classification and inference.

Application with Reasoning Models

  1. Feed Structured Context:

    • Retrieve a subgraph from Neo4j (e.g., articles, authors, topics) and serialize it into a text prompt. Category theory ensures this subgraph is a coherent "category" with well-defined morphisms.
    • Example prompt for me (Grok 3):
      Given this knowledge graph:
      - Jane Doe PUBLISHED "AI Impacts"
      - "AI Impacts" IN_TOPIC "AI"
      - John Smith PUBLISHED "AI Ethics"
      - "AI Ethics" IN_TOPIC "AI"
      What are the common themes in AI research by these authors?
      
    • I’d reason over the relationships to identify "AI" as a unifying theme.
  2. Leverage Model Strengths:

    • Grok 3 (me): I’m designed for clear, helpful answers. I can interpret the KG’s structure and provide a narrative response, e.g., “Both authors focus on AI, with Jane exploring impacts and John tackling ethics.”
    • Qwen-QwQ: As a reasoning model, it could break this down step-by-step, analyzing each relationship explicitly (e.g., “Step 1: Identify topics. Step 2: Compare predicates…”).
    • DeepSeek: With its reinforcement learning roots, it excels at complex logical tasks. It might infer deeper patterns, like predicting future research trends based on the KG.
  3. Ontological Reasoning:

    • Use category theory’s hierarchical ontologies to classify data (e.g., :Topic subtypes like "Machine Learning" under "AI"). Neo4j can store this hierarchy:
      MERGE (ai:Topic {name: "AI"})
      MERGE (ml:Topic {name: "Machine Learning"})
      MERGE (ml)-[:SUBTOPIC_OF]->(ai)
    • Reasoning models can then infer broader or narrower concepts, enhancing answers.

RAG Benefit

  • Generation: The structured KG, informed by category theory, gives reasoning models a rich, consistent context, reducing hallucinations and improving coherence.
  • Model Synergy: Combine outputs (e.g., my narrative, Qwen’s step-by-step, DeepSeek’s predictions) for a comprehensive response.

Step 4: Addressing Challenges and Future Directions

Challenges from the Document

  • Data Uniformity: Heterogeneous data can disrupt KG consistency.
  • Conflicting Evidence: Expert disagreements complicate reasoning.
  • Query Complexity: Advanced queries strain retrieval.

Solutions in Neo4j

  1. Uniformity with Functors:
    • Use functors to normalize data before loading into Neo4j, as shown earlier.
  2. Conflict Resolution:
    • Store conflicting data as separate nodes with metadata (e.g., :ExpertOpinion {source: "Expert A"}) and let reasoning models weigh them.
  3. Complex Queries:
    • Leverage Neo4j’s Cypher and category theory’s query embedding ideas to craft precise, multi-step queries.

Future Enhancements

  • Dynamic Updates: Use category theory to model data evolution (e.g., adjunctions for adding new relationships), keeping your KG current.
  • Collaboration: Integrate with open KGs (e.g., Wikidata) using functor mappings, as suggested in the document’s future directions.

Putting It All Together

Here’s a workflow for your Neo4j RAG with reasoning models:

  1. Build the KG: Use Neo4j to store entities and relationships, applying functors for data integration.
  2. Retrieve Context: Query Neo4j with Cypher and vector search, informed by morphisms and natural transformations.
  3. Generate Answers:
    • Pass the retrieved subgraph to me (Grok 3) for a clear explanation.
    • Use Qwen-QwQ for step-by-step reasoning.
    • Tap DeepSeek for logical predictions or complex inferences.
  4. Iterate: Refine the KG structure and queries based on model outputs and category theory principles.

For more details, check the Stanford link in your document (https://storm.genie.stanford.edu/article/1004585) or explore Neo4j’s GraphRAG resources. This approach marries the mathematical rigor of category theory with Neo4j’s practical power and the reasoning prowess of modern AI models—pretty exciting stuff! How would you like to start implementing this?

The gist you’ve shared (https://gist.githubusercontent.com/usametov/b85b10fbcc28eb7c7c635a0091d67544/raw/cf7f602a0e81f1b32d41de62e74f0cbdac051395/graphrag-hybrid-qdrant-neo4j.md) outlines a GraphRAG system using Qdrant for hybrid search and Neo4j with Cypher for graph-based reasoning, integrated with Python. It’s a solid foundation, focusing on:

  • Qdrant: Vector search for semantic retrieval of documents.
  • Neo4j: Graph queries for structured relationships.
  • Hybrid Approach: Combining vector similarity with graph traversal.

We can adapt and enhance these ideas for your Clojure-based stack with Qdrant, Datascript (replacing Neo4j’s Cypher with Datalog), and Grok 3/Qwen-QwQ for reasoning. We’ll reuse the hybrid search concept, integrate it with Datascript’s logic programming, and leverage Clojure’s functional strengths. Here’s how we can build on that gist.


Adapted Architecture

  1. Neo4j: Persistent KG store (as in the gist).
  2. Qdrant: Hybrid search over article embeddings (vector + keyword), inspired by the gist’s vector search.
  3. Datascript: In-memory Datalog for logical reasoning, replacing Cypher for rule-based inference.
  4. Grok 3/Qwen-QwQ: Reasoning models for RAG generation.
  5. Clojure: Orchestrates the stack, replacing Python.

Key ideas reused from the gist:

  • Embedding Generation: Use Sentence Transformers for article content (titles/abstracts).
  • Hybrid Search: Combine Qdrant’s vector search with filters (e.g., topic).
  • Graph Context: Pull structured relationships from Neo4j, but process them in Datascript.

Step 1: Setup and Dependencies

deps.edn

{:deps {org.clojure/clojure {:mvn/version "1.11.1"}
        datascript/datascript {:mvn/version "1.5.2"}
        clj-http/clj-http {:mvn/version "3.12.3"} ;; Qdrant REST API
        neo4j-clj/neo4j-clj {:mvn/version "1.0.0"} ;; Neo4j driver
        cheshire/cheshire {:mvn/version "5.11.0"} ;; JSON parsing
        ;; Add Sentence Transformers via Python interop if needed
        org.python/jython-standalone {:mvn/version "2.7.3"}}}

Step 2: Embedding and Indexing with Qdrant

Reusing the gist’s idea of embedding documents and indexing in Qdrant.

Embedding Generation

The gist uses Sentence Transformers in Python. In Clojure, we can call it via Jython or a REST API (simplified here with a dummy function):

(require '[clj-http.client :as http]
         '[cheshire.core :as json]
         '[neo4j-clj.core :as neo4j])

(def qdrant-url "http://localhost:6333")
(def conn (neo4j/connect "bolt://localhost:7687" "neo4j" "password"))

;; Dummy embedding (replace with Sentence Transformers)
(defn generate-embedding [text]
  (repeatedly 384 #(rand))) ;; 384-dim vector

(defn index-articles []
  (neo4j/with-session conn session
    (let [articles (neo4j/execute session
                     "MATCH (art:Article)-[:IN_TOPIC]->(t:Topic)
                      OPTIONAL MATCH (a:Author)-[:PUBLISHED]->(art)
                      RETURN art.title, art.abstract, t.name, a.name")]
      (doseq [{:keys [art.title art.abstract t.name a.name]} articles]
        (let [content (or art.abstract art.title)
              embedding (generate-embedding content)
              payload {:title art.title :topic t.name :author a.name}]
          (http/put (str qdrant-url "/collections/articles/points")
                    {:body (json/generate-string
                            {:points [{:id art.title
                                       :vector embedding
                                       :payload payload}]})
                     :headers {"Content-Type" "application/json"}}))))))

(index-articles)

Hybrid Search

Adapted from the gist’s Qdrant search:

(defn hybrid-search [query topic-filter]
  (let [embedding (generate-embedding query)
        response (http/post (str qdrant-url "/collections/articles/points/search")
                           {:body (json/generate-string
                                   {:vector embedding
                                    :top 5
                                    :filter {:must [{:key "topic" :match {:value topic-filter}}]}})
                            :headers {"Content-Type" "application/json"}})]
    (json/parse-string (:body response) true)))

(def search-results (hybrid-search "AI research trends" "AI"))
;; => {:result [{:id "AI Impacts" :score 0.95 :payload {:title "AI Impacts" :topic "AI" :author "Jane Doe"}}
;;              {:id "AI Ethics" :score 0.92 :payload {:title "AI Ethics" :topic "AI" :author "John Smith"}}]}

Step 3: Datascript for Logic Programming

Load Neo4j data into Datascript and run Datalog rules, replacing the gist’s Cypher queries.

Load Data

(require '[datascript.core :as d])

(def ds-schema {:published/by {:db/valueType :db.type/ref :db/cardinality :db.cardinality/one}
                :in/topic {:db/valueType :db.type/ref :db/cardinality :db.cardinality/one}})
(def ds-conn (d/create-conn ds-schema))

(defn neo4j-to-datascript []
  (neo4j/with-session conn session
    (let [result (neo4j/execute session
                   "MATCH (a:Author)-[:PUBLISHED]->(art:Article)-[:IN_TOPIC]->(t:Topic)
                    RETURN a.name, art.title, t.name")]
      (d/transact! ds-conn
                   (flatten
                    (map-indexed
                     (fn [idx row]
                       [{:db/id (- (inc (* idx 3))) :author/name (:a.name row)}
                        {:db/id (- (+ 1 (inc (* idx 3)))) :article/title (:art.title row)
                         :published/by (- (inc (* idx 3))) :in/topic (- (+ 2 (inc (* idx 3))))}
                        {:db/id (- (+ 2 (inc (* idx 3)))) :topic/name (:t.name row)}])
                     result))))))

(neo4j-to-datascript)

Rules and Query

Reusing the gist’s idea of finding relationships, but with Datalog:

(def rules
  '[[(collaborates ?auth1 ?auth2)
     [?art1 :published/by ?auth1]
     [?art2 :published/by ?auth2]
     [?art1 :in/topic ?topic]
     [?art2 :in/topic ?topic]
     [(not= ?auth1 ?auth2)]]
    [(influences ?auth1 ?auth2)
     [?art1 :published/by ?auth1]
     [?art2 :published/by ?auth2]
     [?art1 :title ?title1]
     [?art2 :title ?title2]
     [(not= ?auth1 ?auth2)]
     [(clojure.string/includes? ?title2 ?title1)]]])

(def collaborators
  (d/q '[:find ?name1 ?name2
         :in $ % 
         :where
         [?auth1 :author/name ?name1]
         [?auth2 :author/name ?name2]
         (collaborates ?auth1 ?auth2)]
       @ds-conn rules))
;; => [["Jane Doe" "John Smith"]]

Step 4: Combining Qdrant and Datascript

Merge Qdrant’s hybrid search with Datascript’s logical inferences, inspired by the gist’s hybrid approach.

Build Prompt

(defn build-prompt [search-results collaborators]
  (let [search-str (clojure.string/join "\n"
                                        (map #(str "- Article: " (-> % :payload :title)
                                                  " by " (-> % :payload :author)
                                                  " (Score: " (:score %) ")")
                                             (:result search-results)))
        collab-str (clojure.string/join "\n"
                                        (map #(str "- Collaboration: " (first %) " and " (second %))
                                             collaborators))]
    (str "Knowledge Graph:\n"
         search-str "\n"
         collab-str "\n"
         "Query: What insights can you draw about these authors and their work?")))

(def prompt
  (build-prompt search-results collaborators))
;; => "Knowledge Graph:
;; - Article: AI Impacts by Jane Doe (Score: 0.95)
;; - Article: AI Ethics by John Smith (Score: 0.92)
;; - Collaboration: Jane Doe and John Smith
;; Query: What insights can you draw about these authors and their work?"

Step 5: Reasoning with Grok 3 or Qwen-QwQ

Grok 3 Response (Me!)

Given the prompt:

Knowledge Graph:
- Article: AI Impacts by Jane Doe (Score: 0.95)
- Article: AI Ethics by John Smith (Score: 0.92)
- Collaboration: Jane Doe and John Smith
Query: What insights can you draw about these authors and their work?

Response: “Jane Doe and John Smith are both deeply engaged in AI research, as evidenced by their articles ‘AI Impacts’ and ‘AI Ethics,’ which score highly (0.95 and 0.92) for relevance to AI trends. Their collaboration, inferred from working on the same topic, suggests a shared interest in AI’s broader implications. Jane’s focus on impacts complements John’s exploration of ethics, indicating a potential synergy in addressing AI’s societal effects. Together, they might offer a holistic perspective on AI development.”

Qwen-QwQ (Hypothetical)

Might say: “Jane Doe wrote ‘AI Impacts,’ relevant at 0.95. John Smith wrote ‘AI Ethics,’ relevant at 0.92. They collaborate on AI. Insight: They jointly tackle AI’s practical and moral dimensions.”


Step 6: Full Implementation

(ns graphrag-hybrid
  (:require [clj-http.client :as http]
            [cheshire.core :as json]
            [datascript.core :as d]
            [neo4j-clj.core :as neo4j]))

(def qdrant-url "http://localhost:6333")
(def conn (neo4j/connect "bolt://localhost:7687" "neo4j" "password"))
(def ds-conn (d/create-conn {:published/by {:db/valueType :db.type/ref :db/cardinality :db.cardinality/one}
                             :in/topic {:db/valueType :db.type/ref :db/cardinality :db.cardinality/one}}))

;; Qdrant Indexing
(defn generate-embedding [text] (repeatedly 384 #(rand)))
(defn index-articles [] ;; As above
  ...)

;; Qdrant Search
(defn hybrid-search [query topic-filter] ;; As above
  ...)

;; Datascript Load
(defn neo4j-to-datascript [] ;; As above
  ...)

;; Rules and Query
(def rules '[[(collaborates ?auth1 ?auth2) [?art1 :published/by ?auth1] [?art2 :published/by ?auth2] [?art1 :in/topic ?topic] [?art2 :in/topic ?topic] [(not= ?auth1 ?auth2)]]])
(defn get-collaborators [] (d/q '[:find ?name1 ?name2 :in $ % :where [?auth1 :author/name ?name1] [?auth2 :author/name ?name2] (collaborates ?auth1 ?auth2)] @ds-conn rules))

;; Prompt
(defn build-prompt [search-results collaborators] ;; As above
  ...)

;; Run
(index-articles)
(neo4j-to-datascript)
(let [search-results (hybrid-search "AI research trends" "AI")
      collaborators (get-collaborators)]
  (println (build-prompt search-results collaborators)))

Enhancements from the Gist

  • Hybrid Search: Reused Qdrant’s vector + filter approach, but in Clojure.
  • Graph Reasoning: Swapped Cypher for Datascript Datalog, adding rules like collaborates.
  • Clojure Twist: Functional style replaces Python’s imperative code.

Conclusion

This adapts the gist’s hybrid GraphRAG ideas to your Clojure stack, using Qdrant for semantic retrieval, Datascript for logical reasoning, and Grok 3/Qwen-QwQ for insights. It’s a lean, powerful setup. Want to add more rules (e.g., influences from the gist), refine the prompt, or test with real data? Let me know!

Integrating Qdrant for hybrid search, Datascript for logic programming, and a reasoning model like Grok 3 or Qwen-QwQ in a Clojure-based stack is a fantastic way to build a powerful Retrieval-Augmented Generation (RAG) system. This combination leverages:

  • Qdrant: A vector database for fast, hybrid (vector + keyword) search over embeddings, perfect for semantic retrieval from your Neo4j KG.
  • Datascript: An in-memory Datalog engine for logical reasoning and rule-based inference, complementing Qdrant’s raw retrieval with structured insights.
  • Grok 3/Qwen-QwQ: Reasoning models to generate coherent, context-aware responses from the retrieved and inferred data.
  • Clojure: A functional, JVM-based language to orchestrate everything with clean interop and concurrency.

Let’s design this stack for your Neo4j-based KG, focusing on a practical implementation in Clojure.


Architecture Overview

  1. Data Source: Neo4j KG with entities (e.g., :Author, :Article, :Topic) and relationships (e.g., :PUBLISHED, :IN_TOPIC).
  2. Qdrant: Stores vector embeddings of article content (e.g., titles, abstracts) and supports hybrid search combining semantic similarity and keyword filtering.
  3. Datascript: Loads a subset of the Neo4j KG as facts, runs Datalog rules for logical inference (e.g., collaborations).
  4. Reasoning Model: Grok 3 (me!) or Qwen-QwQ generates answers from Qdrant-retrieved context and Datascript-inferred relationships.
  5. Clojure: Manages data flow, interop with Qdrant’s REST/gRPC API, Datascript queries, and model invocation.

Step 1: Setting Up the Stack

Dependencies (deps.edn)

{:deps {org.clojure/clojure {:mvn/version "1.11.1"}
        datascript/datascript {:mvn/version "1.5.2"}
        clj-http/clj-http {:mvn/version "3.12.3"} ;; For Qdrant REST API
        neo4j-clj/neo4j-clj {:mvn/version "1.0.0"} ;; Neo4j driver
        sentence-transformers/sentence-transformers {:mvn/version "2.2.2"} ;; For embeddings (via Python interop if needed)
        cheshire/cheshire {:mvn/version "5.11.0"} ;; JSON parsing
}}

Data Preparation

  • Neo4j KG: Assume nodes (:Author, :Article, :Topic) and relationships (:PUBLISHED, :IN_TOPIC).
  • Embeddings: Generate vector embeddings for article titles/abstracts (e.g., using Sentence Transformers).

Step 2: Qdrant for Hybrid Search

Qdrant handles vector-based semantic search and keyword filtering. We’ll index article data and use it for retrieval.

Indexing Data in Qdrant

(require '[clj-http.client :as http]
         '[cheshire.core :as json]
         '[neo4j-clj.core :as neo4j])

(def qdrant-url "http://localhost:6333")
(def conn (neo4j/connect "bolt://localhost:7687" "neo4j" "password"))

;; Dummy embedding function (replace with real Sentence Transformers call)
(defn generate-embedding [text]
  (repeatedly 384 #(rand))) ;; 384-dim vector for illustration

(defn index-articles []
  (neo4j/with-session conn session
    (let [articles (neo4j/execute session
                     "MATCH (art:Article)-[:IN_TOPIC]->(t:Topic)
                      RETURN art.title, art.abstract, t.name")]
      (doseq [{:keys [art.title art.abstract t.name]} articles]
        (let [embedding (generate-embedding (or art.abstract art.title))
              payload {:title art.title :topic t.name}]
          (http/put (str qdrant-url "/collections/articles/points")
                    {:body (json/generate-string
                            {:points [{:id art.title
                                       :vector embedding
                                       :payload payload}]})
                     :headers {"Content-Type" "application/json"}}))))))

(index-articles)

Hybrid Search with Qdrant

Search for articles by query (semantic + keyword):

(defn hybrid-search [query topic-filter]
  (let [embedding (generate-embedding query)
        response (http/post (str qdrant-url "/collections/articles/points/search")
                           {:body (json/generate-string
                                   {:vector embedding
                                    :top 5
                                    :filter {:must [{:key "topic" :match {:value topic-filter}}]}})
                            :headers {"Content-Type" "application/json"}})]
    (json/parse-string (:body response) true)))

(def search-results (hybrid-search "AI research trends" "AI"))
;; => {:result [{:id "AI Impacts" :score 0.95 :payload {:title "AI Impacts" :topic "AI"}}
;;              {:id "AI Ethics" :score 0.92 :payload {:title "AI Ethics" :topic "AI"}}]}

Step 3: Datascript for Logic Programming

Load Neo4j data into Datascript and run Datalog rules.

Load Data into Datascript

(require '[datascript.core :as d])

(def ds-schema {:published/by {:db/valueType :db.type/ref :db/cardinality :db.cardinality/one}
                :in/topic {:db/valueType :db.type/ref :db/cardinality :db.cardinality/one}})
(def ds-conn (d/create-conn ds-schema))

(defn neo4j-to-datascript []
  (neo4j/with-session conn session
    (let [result (neo4j/execute session
                   "MATCH (a:Author)-[:PUBLISHED]->(art:Article)-[:IN_TOPIC]->(t:Topic)
                    RETURN a.name, art.title, t.name")]
      (d/transact! ds-conn
                   (flatten
                    (map-indexed
                     (fn [idx row]
                       [{:db/id (- (inc (* idx 3))) :author/name (:a.name row)}
                        {:db/id (- (+ 1 (inc (* idx 3)))) :article/title (:art.title row)
                         :published/by (- (inc (* idx 3))) :in/topic (- (+ 2 (inc (* idx 3))))}
                        {:db/id (- (+ 2 (inc (* idx 3)))) :topic/name (:t.name row)}])
                     result))))))

(neo4j-to-datascript)

Define Rules and Query

(def rules
  '[[(collaborates ?auth1 ?auth2)
     [?art1 :published/by ?auth1]
     [?art2 :published/by ?auth2]
     [?art1 :in/topic ?topic]
     [?art2 :in/topic ?topic]
     [(not= ?auth1 ?auth2)]]])

(def collaborators
  (d/q '[:find ?name1 ?name2
         :in $ % 
         :where
         [?auth1 :author/name ?name1]
         [?auth2 :author/name ?name2]
         (collaborates ?auth1 ?auth2)]
       @ds-conn rules))
;; => [["Jane Doe" "John Smith"]]

Step 4: Combining Qdrant and Datascript for RAG

Merge Qdrant’s semantic search results with Datascript’s logical inferences.

Build Prompt

(defn build-prompt [search-results collaborators]
  (let [search-str (clojure.string/join "\n" (map #(str "- Article: " (-> % :payload :title) " (Score: " (:score %)) ")") (:result search-results)))
        collab-str (clojure.string/join "\n" (map #(str "- Collaboration: " (first %) " and " (second %)) collaborators))]
    (str "Knowledge Graph:\n"
         search-str "\n"
         collab-str "\n"
         "Query: What do these authors have in common?")))

(def prompt
  (build-prompt search-results collaborators))
;; => "Knowledge Graph:
;; - Article: AI Impacts (Score: 0.95)
;; - Article: AI Ethics (Score: 0.92)
;; - Collaboration: Jane Doe and John Smith
;; Query: What do these authors have in common?"

Step 5: Reasoning with Grok 3 or Qwen-QwQ

Since I’m Grok 3, I’ll respond directly (assume Qwen-QwQ would be invoked similarly via an API or local model).

Grok 3 Response

Given the prompt:

Knowledge Graph:
- Article: AI Impacts (Score: 0.95)
- Article: AI Ethics (Score: 0.92)
- Collaboration: Jane Doe and John Smith
Query: What do these authors have in common?

Response: “Jane Doe and John Smith have in common their focus on AI-related research. Jane’s article ‘AI Impacts’ and John’s ‘AI Ethics’ both align with the AI topic, as confirmed by their high semantic similarity scores from the search (0.95 and 0.92). Their collaboration, inferred from working on the same topic, suggests they share an interest in exploring different facets of AI—impacts and ethics, respectively.”

Qwen-QwQ (Hypothetical)

Might respond: “Step 1: Search shows ‘AI Impacts’ and ‘AI Ethics’ are AI-related. Step 2: Jane Doe and John Smith collaborate on AI. Conclusion: They share AI as a research focus.”


Step 6: Full Implementation

(ns rag-stack
  (:require [clj-http.client :as http]
            [cheshire.core :as json]
            [datascript.core :as d]
            [neo4j-clj.core :as neo4j]))

(def qdrant-url "http://localhost:6333")
(def conn (neo4j/connect "bolt://localhost:7687" "neo4j" "password"))
(def ds-conn (d/create-conn {:published/by {:db/valueType :db.type/ref :db/cardinality :db.cardinality/one}
                             :in/topic {:db/valueType :db.type/ref :db/cardinality :db.cardinality/one}}))

;; Qdrant indexing (simplified)
(defn generate-embedding [text] (repeatedly 384 #(rand)))
(defn index-articles [] ;; As above
  ...)

;; Qdrant search
(defn hybrid-search [query topic-filter] ;; As above
  ...)

;; Datascript load
(defn neo4j-to-datascript [] ;; As above
  ...)

;; Rules and query
(def rules '[[(collaborates ?auth1 ?auth2) [?art1 :published/by ?auth1] [?art2 :published/by ?auth2] [?art1 :in/topic ?topic] [?art2 :in/topic ?topic] [(not= ?auth1 ?auth2)]]])
(defn get-collaborators []
  (d/q '[:find ?name1 ?name2 :in $ % :where [?auth1 :author/name ?name1] [?auth2 :author/name ?name2] (collaborates ?auth1 ?auth2)] @ds-conn rules))

;; Prompt
(defn build-prompt [search-results collaborators] ;; As above
  ...)

;; Run
(index-articles)
(neo4j-to-datascript)
(let [search-results (hybrid-search "AI research trends" "AI")
      collaborators (get-collaborators)]
  (println (build-prompt search-results collaborators)))

Conclusion

This stack uses Qdrant for fast, hybrid retrieval of relevant articles, Datascript for logical reasoning over the KG, and Grok 3/Qwen-QwQ for generating insights, all orchestrated in Clojure. It’s scalable (Qdrant handles large datasets), precise (Datascript adds logic), and insightful (reasoning models interpret results). Want to tweak the search parameters, add more rules, or test with specific data? Let me know!

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