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

Overview of attention for article published in Journal of Automated Reasoning, March 2018
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Title
A Verified SAT Solver Framework with Learn, Forget, Restart, and Incrementality
Published in
Journal of Automated Reasoning, March 2018
DOI 10.1007/s10817-018-9455-7
Pubmed ID
Authors

Jasmin Christian Blanchette, Mathias Fleury, Peter Lammich, Christoph Weidenbach

Abstract

We developed a formal framework for conflict-driven clause learning (CDCL) using the Isabelle/HOL proof assistant. Through a chain of refinements, an abstract CDCL calculus is connected first to a more concrete calculus, then to a SAT solver expressed in a functional programming language, and finally to a SAT solver in an imperative language, with total correctness guarantees. The framework offers a convenient way to prove metatheorems and experiment with variants, including the Davis-Putnam-Logemann-Loveland (DPLL) calculus. The imperative program relies on the two-watched-literal data structure and other optimizations found in modern solvers. We used Isabelle's Refinement Framework to automate the most tedious refinement steps. The most noteworthy aspects of our work are the inclusion of rules for forget, restart, and incremental solving and the application of stepwise refinement.

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Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 14 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Japan 1 7%
Unknown 13 93%

Demographic breakdown

Readers by professional status Count As %
Student > Doctoral Student 2 14%
Professor 2 14%
Student > Postgraduate 2 14%
Student > Ph. D. Student 2 14%
Student > Bachelor 1 7%
Other 2 14%
Unknown 3 21%
Readers by discipline Count As %
Computer Science 7 50%
Engineering 2 14%
Agricultural and Biological Sciences 1 7%
Business, Management and Accounting 1 7%
Unknown 3 21%
Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 1. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 15 August 2018.
All research outputs
#18,606,163
of 23,047,237 outputs
Outputs from Journal of Automated Reasoning
#108
of 136 outputs
Outputs of similar age
#258,587
of 332,695 outputs
Outputs of similar age from Journal of Automated Reasoning
#4
of 4 outputs
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So far Altmetric has tracked 136 research outputs from this source. They receive a mean Attention Score of 2.6. This one is in the 8th percentile – i.e., 8% of its peers scored the same or lower than it.
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