Created
July 26, 2020 12:44
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0 を偶数個含む文字列の言語を受理する DFA
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""" | |
0 を偶数個含む文字列の言語を受理する DFA | |
""" | |
from enum import Enum, auto | |
class DFA: | |
def __init__(self, states, alphabets, transition_method, start_state, accept_state): | |
# self.states = states | |
# self.alphabets = alphabets | |
self.transition_method = transition_method | |
# self.start_state = start_state | |
self.accept_state = accept_state | |
self.cur_state = start_state | |
def run(self, input_str: str) -> bool: | |
""" 入力文字列を読み出し、受理するかどうかを返す | |
""" | |
for s in input_str: | |
self.cur_state = self.transition(s) | |
return self.cur_state in self.accept_state | |
def transition(self, alphabet): | |
""" 遷移 """ | |
return self.transition_method.get((self.cur_state, alphabet)) | |
class States(Enum): | |
q1 = auto() | |
q2 = auto() | |
# 遷移関数 f(q, a) | |
# 状態が q のときに、a を読みだしたときの遷移先を表す | |
transition_method = { | |
(States.q1, "0"): States.q2, | |
(States.q1, "1"): States.q1, | |
(States.q2, "0"): States.q1, | |
(States.q2, "1"): States.q2, | |
} | |
dfa = DFA( | |
states={States.q1, States.q2}, | |
alphabets={"0", "1"}, | |
transition_method=transition_method, | |
start_state=States.q1, | |
accept_state={States.q1}, | |
) | |
print(dfa.run("0101")) # True | |
print(dfa.run("01010")) # False |
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