Abstract

The first order predicate logic (FOPL) is backbone of AI, as well a method of formal representation of Natural Language (NL) text. The Prolog language for AI programming has its foundations in FOPL. The chapter demonstrates how to translate NL to FOPL in the form of facts and rules, use of quantifiers and variables, syntax and semantics of FOPL, and conversion of predicate expressions to clause forms. This is followed with unification of predicate expressions using instantiations and substitutions, compositions of substitutions, unification algorithm and its analysis. The resolution principle is extended to FOPL, a simple algorithm of resolution is presented, and use of resolution is demonstrated for theorem proving. The interpretation and inferences of FOPL expressions are briefly discussed, along with the use of Herbrand’s universe and Herbrand’s theorem. At the end, the most general unifier (mgu) and its algorithms are presented, and chapter is concluded with summary.

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