Integrating Equational Reasoning into Instantiation Based Theorem Proving 1st Edition by Harald Ganzinger, Konstantin Korovin ISBN 9783540301240

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ISBN 10: 
ISBN 13: 9783540301240
Author: Harald Ganzinger, Konstantin Korovin

In this paper we present a method for integrating equational reasoning into instantiation-based theorem proving. The method employs a satisfiability solver for ground equational clauses together with an instance generation process based on an ordered paramodulation type calculus for literals. The completeness of the procedure is proved using the the model generation technique, which allows us to justify redundancy elimination based on appropriate orderings.

Integrating Equational Reasoning into Instantiation Based Theorem Proving 1st Table of contents:

1 Introduction
2 Preliminaries
3 An informal description of the procedure
4 Unit paramodulation on literal closures
5 Completeness for saturated sets of clauses
6 Effective Saturation Strategies
7 Relevant instances from proofs
8 From literal closures to literal clause
9 Representation of closures via dismatching constraints

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