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Published in:
A Logical Framework for Developing and Mechanizing Set Theories Read chapter Read first chapter

2016 | OriginalPaper | Chapter

A Verified SAT Solver Framework with Learn, Forget, Restart, and Incrementality

Authors : Jasmin Christian Blanchette, Mathias Fleury, Christoph Weidenbach

Published in: Automated Reasoning

Publisher: Springer International Publishing

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Abstract

We developed a formal framework for CDCL (conflict-driven clause learning) in Isabelle/HOL. Through a chain of refinements, an abstract CDCL calculus is connected to a SAT solver expressed in a functional programming language, with total correctness guarantees. The framework offers a convenient way to prove metatheorems and experiment with variants. Compared with earlier SAT solver verifications, the main novelties are the inclusion of rules for forget, restart, and incremental solving and the application of refinement.

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previous chapter Logic & Proofs for Cyber-Physical Systems
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Footnotes
1
We have started formalizing the two-watched-literal optimization [28] but have yet to connect it with our SAT solver implementation. The README.md file in our repository is frequently updated to mention the latest developments [13].
 
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Metadata
Title
A Verified SAT Solver Framework with Learn, Forget, Restart, and Incrementality
Authors
Jasmin Christian Blanchette
Mathias Fleury
Christoph Weidenbach
Copyright Year
2016
Book
Automated Reasoning

Print ISBN: 978-3-319-40228-4

Electronic ISBN: 978-3-319-40229-1

Copyright Year: 2016

DOI
https://doi.org/10.1007/978-3-319-40229-1_4

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