An Extension of the Boyer-Moore Theorem Prover to Support First-Order Quantification

Abstract

We describe an implementation of an extension to the Boyer-Moore Theorem Prover and logic that allows first-order quantification. The extension retains the capabilities of the Boyer-Moore system while allowing the increased flexibility in specification and proof that is provided by quantifiers. The idea is to Skolemize in an appropriate manner. We demonstrate the power of this approach by describing three successful proof-checking experiments using the system, each of which involves a theorem of set theory as translated into a first-order logic. We also demonstrate the soundness of our approach.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1991
Accession Number
ADA231375

Entities

People

  • Matt Kaufmann

Tags

Communities of Interest

  • Advanced Electronics
  • C4I

DTIC Thesaurus Topics

  • Algorithms
  • Artificial Intelligence Computing
  • Consistency
  • Directives
  • Ground Zero
  • Language
  • Military Research
  • Reasoning
  • Sequences
  • Set Theory
  • Specifications
  • Standards
  • Theorems
  • Translations

Fields of Study

  • Computer science

Readers

  • Defense Acquisition Program Management
  • Mathematical Modeling and Probability Theory.