
handle: 11568/3709 , 2318/102365
The unification problem in f'mst-order predicate calculus is described in general terms as the solution of a system of equations, and a nondeterministic algorithm is given. A new unification algorithm, characterized by having the acyclicity test efficiently embedded into it, is derived from the nondeterministic one, and a PASCAL implementation is given. A comparison with other well-known unification algorithms shows that the algorithm described here performs well in all cases.
Complexity of proofs, Mechanization of proofs and logical operations, nondeterministic algorithm, mechanical theorem proving, unification problem, resolution, Classical first-order logic, complexity of proof procedures, Theorem proving (deduction, resolution, etc.)
Complexity of proofs, Mechanization of proofs and logical operations, nondeterministic algorithm, mechanical theorem proving, unification problem, resolution, Classical first-order logic, complexity of proof procedures, Theorem proving (deduction, resolution, etc.)
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