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Relaxed Weighted Path Order in Theorem Proving

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21730%2F20%3A00346140" target="_blank" >RIV/68407700:21730/20:00346140 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.1007/s11786-020-00474-0" target="_blank" >https://doi.org/10.1007/s11786-020-00474-0</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s11786-020-00474-0" target="_blank" >10.1007/s11786-020-00474-0</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Relaxed Weighted Path Order in Theorem Proving

  • Original language description

    We propose an extension of the automated theorem prover E by the weighted path ordering (WPO). WPO is theoretically stronger than all the orderings used in E Prover, however its parametrization is more involved than those normally used in automated reasoning. In particular, it depends on a term algebra. We integrate the ordering in E Prover and perform an evaluation on the standard theorem proving benchmarks. The ordering is complementary to the ones used in E prover so far. Furthermore, first-time presented here, we propose a relaxed variant of the weighted path order as an approximation of the standard WPO definition. A theorem prover strategy with a relaxed order can be incomplete, which is, however, not an issue as completeness can be easily regained by switching to a complete strategy. We show that the relaxed weighted path order can have a huge impact on an improvement of a theorem prover strategy.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database

  • 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

    2020

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Mathematics in Computer Science

  • ISSN

    1661-8270

  • e-ISSN

    1661-8289

  • Volume of the periodical

    14

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    CH - SWITZERLAND

  • Number of pages

    14

  • Pages from-to

    657-670

  • UT code for WoS article

    000522569800001

  • EID of the result in the Scopus database

    2-s2.0-85083103430