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A Theory of Satisability-Preserving Proofs in SAT Solving

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21730%2F18%3A00329606" target="_blank" >RIV/68407700:21730/18:00329606 - isvavai.cz</a>

  • Result on the web

    <a href="https://easychair.org/publications/paper/zr7z" target="_blank" >https://easychair.org/publications/paper/zr7z</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.29007/tc7q" target="_blank" >10.29007/tc7q</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    A Theory of Satisability-Preserving Proofs in SAT Solving

  • Original language description

    We study the semantics of propositional interference-based proof systems such as DRAT and DPR. These are characterized by modifying a CNF formula in ways that preserve satis_ability but not necessarily logical truth. We propose an extension of propositional logic called overwrite logic with a new construct which captures the meta-level reasoning behind interferences. We analyze this new logic from the point of view of expressivity and complexity, showing that while greater expressivity is achieved, the satis_ability problém for overwrite logic is essentially as hard as SAT, and can be reduced in a way that is well-behaved for modern SAT solvers. We also show that DRAT and DPR proofs can be seen as overwrite logic proofs which preserve logical truth. This much stronger invariant than the mere satis_ability preservation maintained by the traditional view gives us better understanding on these practically important proof systems. Finally, we showcase this better understanding by _nding intrinsic limitations in interference-based proof systems.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>ost</sub> - Miscellaneous article in a specialist periodical

  • CEP classification

  • OECD FORD branch

    10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Result continuities

  • Project

  • Continuities

    R - Projekt Ramcoveho programu EK

Others

  • Publication year

    2018

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    EPiC Series in Computing

  • ISSN

    2398-7340

  • e-ISSN

    2398-7340

  • Volume of the periodical

    8

  • Issue of the periodical within the volume

    57

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    21

  • Pages from-to

    583-603

  • UT code for WoS article

  • EID of the result in the Scopus database