Tuning Natural Deduction Proof Search by Analytic Methods

Bolotov, A. and Gorchakov, A. 2018. Tuning Natural Deduction Proof Search by Analytic Methods. The 25th Workshop on Automated Reasoning: Bridging the Gap between Theory and Practice. University of Cambridge Apr 2018 University of Cambridge.

TitleTuning Natural Deduction Proof Search by Analytic Methods
AuthorsBolotov, A. and Gorchakov, A.
TypeConference paper
Abstract

This paper is a result of the analysis of the efficiency of natural deduction proof search and the
major weaknesses affecting it. We introduce new analytic strategies based on a new concept ”Truth Set of
Support”. We present a combined proof search algorithm for classical propositional logic where a crucially
new step is the guidance of the searching procedure by ”Truth sets of Support” and establish the correctness.
We describe the implementation of this new search technique and exemplify its advantages on the strong
version of the Pigeon Hole Principle.

Keywordsautomated deduction, natural deduction, pigeon hole principle
Year2018
ConferenceThe 25th Workshop on Automated Reasoning: Bridging the Gap between Theory and Practice
PublisherUniversity of Cambridge
Accepted author manuscript
File Access Level
Open (open metadata and files)
Web address (URL) of conference proceedingshttps://www.cl.cam.ac.uk/events/arw2018/arw2018-proc.pdf

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