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Some optimizations

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Brandon Rozek 2024-04-15 00:08:00 -04:00
parent 9f985740e0
commit 20ccacc166
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5 changed files with 132 additions and 57 deletions
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34
R.py
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@ -23,38 +23,38 @@ x = PropositionalVariable("x")
y = PropositionalVariable("y")
z = PropositionalVariable("z")
implication_rules = {
Rule({}, Implication(x, x)),
Rule(set(), Implication(x, x)),
Rule({Implication(x, y), Implication(y, z)}, Implication(x, z)),
Rule({}, Implication(Implication(x, Implication(x, y)), Implication(x, y))),
Rule({}, Implication(Implication(x, Implication(y, z)), Implication(y, Implication(x, z)))),
Rule({}, Implication(Implication(x, y), Implication(Implication(z, x), Implication(z, y)))),
Rule({}, Implication(Implication(x, y), Implication(Implication(y, z), Implication(x, z)))),
Rule({Implication(x, Implication(x, y)),}, Implication(x, y)),
Rule({Implication(x, Implication(y, z)),}, Implication(y, Implication(x, z))),
Rule({Implication(x, y),}, Implication(Implication(z, x), Implication(z, y))),
Rule({Implication(x, y),}, Implication(Implication(y, z), Implication(x, z))),
Rule({Implication(x, y), x}, y)
}
negation_rules = {
Rule({}, Implication(Negation(Negation(x)), x)),
Rule({}, Implication(x, Negation(Negation(x)))),
Rule({Negation(Negation(x)),}, x),
Rule({x,}, Negation(Negation(x))),
Rule({Implication(x, y)}, Implication(Negation(y), Negation(x))),
Rule({}, Implication(Implication(x, y), Implication(Negation(y), Negation(x))))
Rule({Implication(x, y),}, Implication(Negation(y), Negation(x)))
}
conjunction_rules = {
Rule({y, z}, Conjunction(y, z)),
Rule({}, Implication(Conjunction(x, y), x)),
Rule({}, Implication(Conjunction(x, y), y)),
Rule({}, Implication(Conjunction(Implication(x, y), Implication(x, z)), Implication(x, Conjunction(y, z))))
Rule({Conjunction(x, y),}, x),
Rule({Conjunction(x, y),}, y),
Rule({Conjunction(Implication(x, y), Implication(x, z)),}, Implication(x, Conjunction(y, z)))
}
disjunction_rules = {
Rule({}, Implication(x, Disjunction(x, y))),
Rule({}, Implication(y, Disjunction(x, y))),
Rule({}, Implication(Conjunction(Implication(x, z), Implication(y, z)), Implication(Disjunction(x, y), z))),
Rule({}, Implication(Conjunction(x, Disjunction(y, z)), Disjunction(Conjunction(x, y), Conjunction(x, z))))
Rule({x,}, Disjunction(x, y)),
Rule({y,}, Disjunction(x, y)),
Rule({Conjunction(Implication(x, z), Implication(y, z)),}, Implication(Disjunction(x, y), z)),
Rule({Conjunction(x, Disjunction(y, z)),}, Disjunction(Conjunction(x, y), Conjunction(x, z)))
}
logic_rules = implication_rules | negation_rules | conjunction_rules | disjunction_rules
operations = {Negation, Conjunction, Disjunction, Implication}
@ -118,7 +118,7 @@ interpretation = {
# Generate models of R of a given size
model_size = 2
satisfiable_models = generate_model(R_logic, model_size)
satisfiable_models = generate_model(R_logic, model_size, print_model=True)
print(f"There are {len(satisfiable_models)} satisfiable models of element length {model_size}")