write a theorem prover and parser for ZOL using tableaux python

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F: A string which is an S-expression of a ZOL formula. You can assume:

The operators used are IF,IFF,AND,OR,XOR,and NOT.

The NOT operator has one argument, a wff

The IF, IFF,and XOR operators have two wffs as arguments

The special = predicate takes two objects as arguments (= is in prefix form, not infix)

The AND and OR operators have two or more arguments

All predicates have zero or more arguments

All functions will have zero or more arguments

All predicate, function, and object symbols will be alphanumberic strings

All formulae are well-formed

Symbols may be overloaded---type is determined through position

Returns a list [S, P, O, Fn] where:

S is a string telling us whether F was satisfiable:

“T” – If the formula is a tautology,

“S” – If the formula is satisfiable but not a tautology,

“U” – If the formula is unsatisfiable.

P is a set of strings, where each string is one of the predicate symbols in F.

O is a set of strings, where each string is one of the object symbols in F.

Fn is a set of strings, where each string is one of the function symbols in F.

You must use the tableaux method to solve this problem.

Python 机器学习(ML) 算法 人工智能 Computer Science

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