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puzzle.py
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puzzle.py
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from logic import *
AKnight = Symbol("A is a Knight")
AKnave = Symbol("A is a Knave")
BKnight = Symbol("B is a Knight")
BKnave = Symbol("B is a Knave")
CKnight = Symbol("C is a Knight")
CKnave = Symbol("C is a Knave")
def exclusive_or(symbol0, symbol1):
"""Simple helper method for exclusive or.
Happy to remove this and resubmit if you dont like it.
"""
return And(Or(symbol0, symbol1), Not(And(symbol0, symbol1)))
# pairs of knights and knaves for use with convenience function 'character_says' below
A = (AKnight, AKnave)
B = (BKnight, BKnave)
C = (CKnight, CKnave)
def character_says(knight_knave_pair, sentence):
"""Convenience function to represent knowledge of statements by knight/knave characters.
Generates a conjunction of the knight implication and the knave implication for the given sentence.
Pass either A,B or C as the knight_knave_pair who said it, and the sentence they said.
e.g.
character_says(A,some_sentence) will generate:
And(
Implication(AKnight, some_sentence),
Implication(AKnave, Not(some_sentence))
)
Happy to remove this and code the Knowledge directly if you dont like it.
"""
knight = knight_knave_pair[0]
knave = knight_knave_pair[1]
return And(Implication(knight, sentence), Implication(knave, Not(sentence)))
# Puzzle 0
# A says "I am both a knight and a knave."
knowledge0 = And(
#
# General Knights and Knaves Problem Structure
#
# A is either a Knight or a Knave
exclusive_or(AKnight, AKnave),
#
# Specific Character statements for this puzzle
#
# A says "I am both a knight and a knave."
character_says(A, And(AKnight, AKnave))
)
# Puzzle 1
# A says "We are both knaves."
# B says nothing.
knowledge1 = And(
#
# General Knights and Knaves Problem Structure
#
# A is either a Knight or a Knave
exclusive_or(AKnight, AKnave),
# B is either a Knight or a Knave
exclusive_or(BKnight, BKnave),
#
# Specific Character statements for this puzzle
#
# A says "We are both knaves."
character_says(A, And(AKnave, BKnave))
# B says nothing.
)
# Puzzle 2
# A says "We are the same kind."
# B says "We are of different kinds."
knowledge2 = And(
#
# General Knights and Knaves Problem Structure
#
# A is either a Knight or a Knave
exclusive_or(AKnight, AKnave),
# B is either a Knight or a Knave
exclusive_or(BKnight, BKnave),
#
# Specific Character statements for this puzzle
#
# A says "We are the same kind."
character_says(A, Or(And(AKnight, BKnight), And(AKnave, BKnave))),
# B says "We are of different kinds."
character_says(B, Or(And(AKnight, BKnave), And(AKnave, BKnight)))
)
# Puzzle 3
# A says either "I am a knight." or "I am a knave.", but you don't know which.
# B says "A said 'I am a knave'."
# B says "C is a knave."
# C says "A is a knight."
knowledge3 = And(
#
# General Knights and Knaves Problem Structure
#
# A is either a Knight or a Knave
exclusive_or(AKnight, AKnave),
# B is either a Knight or a Knave
exclusive_or(BKnight, BKnave),
# C is either a Knight or a Knave
exclusive_or(CKnight, CKnave),
#
# Specific Character statements for this puzzle
#
# A says either "I am a knight." or "I am a knave.", but you don't know which.
Or(character_says(A, AKnight), character_says(A, AKnave)),
# B says "A said 'I am a knave'."
character_says(B, character_says(A, AKnave)),
# B says "C is a knave."
character_says(B, CKnight),
# C says "A is a knight."
character_says(C, AKnight)
)
def main():
symbols = [AKnight, AKnave, BKnight, BKnave, CKnight, CKnave]
puzzles = [
("Puzzle 0", knowledge0),
("Puzzle 1", knowledge1),
("Puzzle 2", knowledge2),
("Puzzle 3", knowledge3)
]
for puzzle, knowledge in puzzles:
print(puzzle)
if len(knowledge.conjuncts) == 0:
print(" Not yet implemented.")
else:
for symbol in symbols:
if model_check(knowledge, symbol):
print(f" {symbol}")
if __name__ == "__main__":
main()