VictorTaelin

https://x.com/VictorTaelin/status/2001777678765129832

Opus 4.5 - chat log

 * ▐▛███▜▌ *   Claude Code v2.0.72
* ▝▜█████▛▘ *  Opus 4.5 · Claude Max
 *  ▘▘ ▝▝  *   ~/vic/dev/hvm4-claude

> # Task 1: print unscoped lambdas and floating dups with matching names

VictorTaelin

module Main where

data Nat  = Z | S Nat deriving Eq
data Nats = N | C Nat Nats deriving Eq
data Bit  = T | F deriving Eq

-- Sort
-- ----

tmap :: (Nat -> Nat) -> (Nat -> Nat) -> (Nat, Nat) -> (Nat, Nat)

VictorTaelin

commit 4ffb261f8a43be0c5891e0725f1ea709147eeb7e
Author: VictorTaelin <[email protected]>
Date:   Sun Dec 7 11:53:52 2025 -0300

    Make commas and semicolons optional in parser
    
    - Superposition: &L{A,B} or &L{A B}
    - Fork params: &Lλx,y,z{...} or &Lλx y z{...}
    - Fork branches: semicolons now optional between and after branches
    - Constructor args: #Foo{a,b} or #Foo{a b}

VictorTaelin

commit 4ffb261f8a43be0c5891e0725f1ea709147eeb7e
Author: VictorTaelin <[email protected]>
Date:   Sun Dec 7 11:53:52 2025 -0300

    Make commas and semicolons optional in parser
    
    - Superposition: &L{A,B} or &L{A B}
    - Fork params: &Lλx,y,z{...} or &Lλx y z{...}
    - Fork branches: semicolons now optional between and after branches
    - Constructor args: #Foo{a,b} or #Foo{a b}

VictorTaelin

Let $a<b<c$ be distinct natural numbers. Must every block of $c$ consecutive natural numbers contain three distinct numbers whose product is a multiple of $abc$? Do not use search or tools.

gemini 3 deep think:

Yes, the statement is true.

Let $a<b<c$ be distinct natural numbers. Let $S$ be a block of $c$ consecutive natural numbers. We want to show that there exist three distinct numbers $x, y, z \in S$ such that $abc$ divides $xyz$.

We proceed by induction on $c$.

VictorTaelin

Implement a retro web game inspired by Pokémon Red.

Include a demo playground map, with:
- a shop that you can enter and exit
- a small grass area that you can step into and encounter monsters
- an NPC that you can talk to

LAYOUT AND GRAPHICS:

The screen resolution must be natively 160x144, scaled up 4x for rendering, with

VictorTaelin

=== docs/HVM.md ===
# HVM

HVM is a fast C implementation of the Interaction Calculus.

It is a pure functional runtime like Haskell's GHC, with some peculiarities:
- Variables are affine, meaning they can only occur, at most, once.
- To copy values, linear dups are used, where 2 vars refer to the same value.
- Accessing a dup triggers an incremental, layer-by-layer copy of the value.
- Lambdas can also be cloned incrementally by linear dups.

VictorTaelin

Implement a λ-Term named `rotL` that, when applied to a function F, a Church Nat
N, and a Church N-Tuple, returns the same Church N-Tuple, but with elements
shifted left. In other words, create a generic 'rotL<N,F,t>' function for
N-tuples. Example:
- (rotL λf.λx.(f (f x))     λt.(t 1 2))   == λt.(t 2 1)
- (rotL λf.λx.(f (f (f x))) λt.(t 1 2 3)) == λt.(t 2 3 1)
Your final answer must be a λ-Term that implements `rotL` correctly, as follows:
@rotL = term_here

NOTE: Don't omit parenthesis. Each application requires them. Example:

VictorTaelin

module Main where

import Unsafe.Coerce (unsafeCoerce)

data Term
  = App Term Term
  | Var String
  | Ct0
  | Ct1 Term
  | Ct2 Term Term

VictorTaelin

{-# LANGUAGE MultilineStrings #-}

import Data.IORef
import Debug.Trace
import System.IO.Unsafe
import Text.ParserCombinators.ReadP
import qualified Data.Map as M

type Lab   = String
type Name  = String