<?xml version="1.0" encoding="UTF-8"?>
<OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd">
  <responseDate>2026-07-22T06:26:06Z</responseDate>
  <request identifier="2734" metadataPrefix="oai_dc" verb="GetRecord">https://drops.dagstuhl.de/oai</request>
  <GetRecord>
    <record>
      <header>
        <identifier>oai:drops-oai.dagstuhl.de:2734</identifier>
        <datestamp>2024-03-06T11:09:17Z</datestamp>
        <setSpec>ddc:004</setSpec>
        <setSpec>open_access</setSpec>
      </header>
      <metadata>
        <oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
          <dc:title>Gröbner Basis Construction Algorithms Based on Theorem Proving Saturation Loops</dc:title>
          <dc:creator>Passmore, Grant Olney</dc:creator>
          <dc:creator>de Moura, Leonardo</dc:creator>
          <dc:creator>Jackson, Paul B.</dc:creator>
          <dc:subject>Groebner bases</dc:subject>
          <dc:subject>ideal theory</dc:subject>
          <dc:subject>automated theorem proving</dc:subject>
          <dc:subject>SMT solvers</dc:subject>
          <dc:description>We present novel Gr"obner basis algorithms based on saturation loops used by modern superposition theorem provers.   We illustrate the practical value of the algorithms through an experimental implementation within the Z3 SMT solver.</dc:description>
          <dc:publisher>Schloss Dagstuhl – Leibniz-Zentrum für Informatik</dc:publisher>
          <dc:contributor>Grant Olney Passmore and Leonardo de Moura and Paul B. Jackson</dc:contributor>
          <dc:date>2010</dc:date>
          <dc:relation>Is Part Of Dagstuhl Seminar Proceedings, Volume 10161, Decision Procedures in Software, Hardware and Bioware (2010)</dc:relation>
          <dc:type>InProceedings</dc:type>
          <dc:type>Text</dc:type>
          <dc:type>doc-type:ResearchArticle</dc:type>
          <dc:type>publishedVersion</dc:type>
          <dc:format>application/pdf</dc:format>
          <dc:identifier>doi:10.4230/DagSemProc.10161.3</dc:identifier>
          <dc:identifier>urn:nbn:de:0030-drops-27345</dc:identifier>
          <dc:identifier>https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.10161.3</dc:identifier>
          <dc:language>eng</dc:language>
          <dc:rights>https://creativecommons.org/licenses/by/4.0/legalcode</dc:rights>
        </oai_dc:dc>
      </metadata>
    </record>
  </GetRecord>
</OAI-PMH>
