Picture of smart phone in human hand

World leading smartphone and mobile technology research at Strathclyde...

The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of Open Access research papers by University of Strathclyde researchers, including by Strathclyde researchers from the Department of Computer & Information Sciences involved in researching exciting new applications for mobile and smartphone technology. But the transformative application of mobile technologies is also the focus of research within disciplines as diverse as Electronic & Electrical Engineering, Marketing, Human Resource Management and Biomedical Enginering, among others.

Explore Strathclyde's Open Access research on smartphone technology now...

Extracting verified decision procedures : DPLL and resolution

Berger, Ulrich and Lawrence, Andrew and Nordvall Forsberg, Fredrik and Seisenberger, Monika (2015) Extracting verified decision procedures : DPLL and resolution. Logical Methods in Computer Science, 11 (1). ISSN 1860-5974

[img]
Preview
Text (Berger-etal-LMCS-2015-Extracting-verified-decision-procedures-DPLL-and-resolution)
Berger_etal_LMCS_2015_Extracting_verified_decision_procedures_DPLL_and_resolution.pdf - Final Published Version
License: Creative Commons Attribution 4.0 logo

Download (200kB) | Preview

Abstract

This article is concerned with the application of the program extraction technique to a new class of problems: the synthesis of decision procedures for the classical satisfiability problem that are correct by construction. To this end, we formalize a completeness proof for the DPLL proof system and extract a SAT solver from it. When applied to a propositional formula in conjunctive normal form the program produces either a satisfying assignment or a DPLL derivation showing its unsatisfiability. We use non-computational quantifiers to remove redundant computational content from the extracted program and translate it into Haskell to improve performance. We also prove the equivalence between the resolution proof system and the DPLL proof system with a bound on the size of the resulting resolution proof. This demonstrates that it is possible to capture quantitative information about the extracted program on the proof level. The formalization is carried out in the interactive proof assistant Minlog.