A DECISION PROCEDURE BASED ON THE RESOLUTION METHOD,

Abstract

A decision procedure for satisfiability of predicate calculus formulas in the AAE prefix class is described. The procedure is a hybrid based on J. Friedman's decision procedure and on J. A. Robinson's resolution method. It most resembles the latter parent, in that resolvent clauses are formed from the clauses of a formula expressed in conjunctive normal form and from other resolvent clauses until two complementary one-literal clauses resolve into the empty clause. Unlike the general resolution method, however, the procedure does not generate literals with nested Skolem functions. There is, therefore, a bound on literal length and the procedure terminates even if the empty clause is not generated. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1968
Accession Number
AD0671994

Entities

People

  • Bruce Kallick

Organizations

  • Northwestern University

Tags

DTIC Thesaurus Topics

  • Calculus

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