On simplifying the matrix of a wff

Author:

Andrews Peter

Abstract

In [3], [4], and [5] Joyce Friedman formulated and investigated certain rules which constitute a semi-decision procedure for wffs of first order predicate calculus in closed prenex normal form with prefixes of the form ∀x1 … ∀xκ∃y1 … ∃ym∀z1 … ∀zn. Given such a wff QM, where Q is the prefix and M is the matrix in conjunctive normal form, Friedman's rules can be used, in effect, to construct a matrix M* which is obtained from M by deleting certain conjuncts of M.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference9 articles.

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2. A proof procedure for quantification theory;Quine;this Journal,1955

3. A Machine-Oriented Logic Based on the Resolution Principle

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1. Automatic Theorem Proving Based on Resolution;International Tracts in Computer Science and Technology and Their Application;1974

2. A brief review and bibliography of investigations into automation of search of theorem proofs in formal theories;Cybernetics;1974

3. Bibliography;Symbolic Logic and Mechanical Theorem Proving;1973

4. Automatic theorem proving based on resolution;Annual Review in Automatic Programming;1973-01

5. An Overview of Mechanical Theorem Proving;Theoretical Approaches to Non-Numerical Problem Solving;1970

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