mirror of
https://github.com/Brandon-Rozek/matmod.git
synced 2024-09-17 08:02:29 -04:00
135 lines
3.9 KiB
Python
135 lines
3.9 KiB
Python
from typing import Any, Set, Tuple
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from functools import lru_cache
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class Operation:
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def __init__(self, symbol: str, arity: int):
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self.symbol = symbol
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self.arity = arity
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self.hashed_value = hash(self.symbol) + self.arity
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def immutable(self, name, value):
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raise Exception("Operations are immutable")
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self.__setattr__ = immutable
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def __hash__(self):
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return self.hashed_value
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def __call__(self, *args):
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# Ensure the arity is met
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assert len(args) == self.arity
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# Ensure every argument is a term
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for t in args:
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assert isinstance(t, Term)
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return OpTerm(self, args)
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class Term:
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def __init__(self):
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pass
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def __lt__(self, y):
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return Inequation(self, y)
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class PropositionalVariable(Term):
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def __init__(self, name):
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self.name = name
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self.hashed_value = hash(self.name)
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def immutable(self, name, value):
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raise Exception("Propositional variables are immutable")
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self.__setattr__ = immutable
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def __hash__(self):
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return self.hashed_value
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def __str__(self):
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return self.name
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class OpTerm(Term):
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def __init__(self, operation: Operation, arguments):
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assert len(arguments) == operation.arity
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self.operation = operation
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self.arguments = arguments
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self.hashed_value = hash(self.operation) * hash(self.arguments)
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def immutable(self, name, value):
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raise Exception("Terms are immutable")
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self.__setattr__ = immutable
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def __hash__(self):
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return self.hashed_value
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def __str__(self):
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arg_strs = [str(a) for a in self.arguments]
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return self.operation.symbol + "(" + ",".join(arg_strs) + ")"
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# Standard operators
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Negation = Operation("¬", 1)
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Conjunction = Operation("∧", 2)
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Disjunction = Operation("∨", 2)
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Implication = Operation("→", 2)
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class Inequation:
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def __init__(self, antecedant : Term, consequent: Term):
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self.antecedant = antecedant
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self.consequent = consequent
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def __str__(self):
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return str(self.antecedant) + "≤" + str(self.consequent)
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class InequalityRule:
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def __init__(self, premises : Set[Inequation], conclusion: Inequation):
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self.premises = premises
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self.conclusion = conclusion
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def __str__(self):
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str_premises = [str(p) for p in self.premises]
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str_premises2 = "{" + ",".join(str_premises) + "}"
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return str(str_premises2) + "=>" + str(self.conclusion)
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class Rule:
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def __init__(self, premises : Set[Term], conclusion: Term):
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self.premises = premises
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self.conclusion = conclusion
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def __str__(self):
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str_premises = [str(p) for p in self.premises]
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str_premises2 = "{" + ",".join(str_premises) + "}"
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return str(str_premises2) + "=>" + str(self.conclusion)
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class Logic:
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def __init__(self, operations: Set[Operation], rules: Set[Rule]):
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self.operations = operations
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self.rules = rules
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def get_prop_var_from_term(t: Term) -> Set[PropositionalVariable]:
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if isinstance(t, PropositionalVariable):
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return {t,}
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result: Set[PropositionalVariable] = set()
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for arg in t.arguments:
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result |= get_prop_var_from_term(arg)
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return result
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@lru_cache
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def get_propostional_variables(rules: Tuple[Rule]) -> Set[PropositionalVariable]:
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vars: Set[PropositionalVariable] = set()
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for rule in rules:
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# Get all vars in premises
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for premise in rule.premises:
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vars |= get_prop_var_from_term(premise)
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# Get vars in conclusion
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vars |= get_prop_var_from_term(rule.conclusion)
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return vars
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def get_operations_from_term(t: Term) -> Set[Operation]:
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if isinstance(t, PropositionalVariable):
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return set()
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result: Set[Operation] = {t.operation,}
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for arg in t.arguments:
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result |= get_operations_from_term(arg)
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return result
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