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A cardinal improvement to pseudo-boolean solving

Elffers, J. (author)
Nordström, Jakob, 1972- (author)
KTH,Teoretisk datalogi, TCS
 (creator_code:org_t)
AAAI press, 2020
2020
English.
In: AAAI 2020 - 34th AAAI Conference on Artificial Intelligence. - : AAAI press. ; , s. 1495-1503
  • Conference paper (peer-reviewed)
Abstract Subject headings
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  • Pseudo-Boolean solvers hold out the theoretical potential of exponential improvements over conflict-driven clause learning (CDCL) SAT solvers, but in practice perform very poorly if the input is given in the standard conjunctive normal form (CNF) format. We present a technique to remedy this problem by recovering cardinality constraints from CNF on the fly during search. This is done by collecting potential building blocks of cardinality constraints during propagation and combining these blocks during conflict analysis. Our implementation has a non-negligible but manageable overhead when detection is not successful, and yields significant gains for some SAT competition and crafted benchmarks for which pseudo-Boolean reasoning is stronger than CDCL. It also boosts performance for some native pseudo-Boolean formulas where this approach helps to improve learned constraints. Copyright

Subject headings

NATURVETENSKAP  -- Data- och informationsvetenskap -- Datavetenskap (hsv//swe)
NATURAL SCIENCES  -- Computer and Information Sciences -- Computer Sciences (hsv//eng)

Keyword

Artificial intelligence
Cardinality constraints
Clause learning
Conflict analysis
Conjunctive normal forms
On the flies
Potential building blocks
Pseudo-Boolean
SAT solvers
Boolean algebra

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Royal Institute of Technology

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