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<titleInfo><title>Improved algorithms for one-pair and k-pair Streett objectives</title></titleInfo>


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<name type="personal">
  <namePart type="given">Krishnendu</namePart>
  <namePart type="family">Chatterjee</namePart>
  <role><roleTerm type="text">author</roleTerm> </role><identifier type="local">2E5DCA20-F248-11E8-B48F-1D18A9856A87</identifier><description xsi:type="identifierDefinition" type="orcid">0000-0002-4561-241X</description></name>
<name type="personal">
  <namePart type="given">Monika H</namePart>
  <namePart type="family">Henzinger</namePart>
  <role><roleTerm type="text">author</roleTerm> </role><identifier type="local">540c9bbd-f2de-11ec-812d-d04a5be85630</identifier><description xsi:type="identifierDefinition" type="orcid">0000-0002-5008-6530</description></name>
<name type="personal">
  <namePart type="given">Veronika</namePart>
  <namePart type="family">Loitzenbauer</namePart>
  <role><roleTerm type="text">author</roleTerm> </role></name>







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  <namePart></namePart>
  <identifier type="local">KrCh</identifier>
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    <roleTerm type="text">department</roleTerm>
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<name type="conference">
  <namePart>LICS: Logic in Computer Science</namePart>
</name>



<name type="corporate">
  <namePart>Modern Graph Algorithmic Techniques in Formal Verification</namePart>
  <role><roleTerm type="text">project</roleTerm></role>
</name>
<name type="corporate">
  <namePart>Rigorous Systems Engineering</namePart>
  <role><roleTerm type="text">project</roleTerm></role>
</name>
<name type="corporate">
  <namePart>Quantitative Graph Games: Theory and Applications</namePart>
  <role><roleTerm type="text">project</roleTerm></role>
</name>



<abstract lang="eng">The computation of the winning set for one-pair Streett objectives and for k-pair Streett objectives in (standard) graphs as well as in game graphs are central problems in computer-aided verification, with application to the verification of closed systems with strong fairness conditions, the verification of open systems, checking interface compatibility, well-formed ness of specifications, and the synthesis of reactive systems. We give faster algorithms for the computation of the winning set for (1) one-pair Streett objectives (aka parity-3 problem) in game graphs and (2) for k-pair Streett objectives in graphs. For both problems this represents the first improvement in asymptotic running time in 15 years.</abstract>

<originInfo><publisher>IEEE</publisher><dateIssued encoding="w3cdtf">2015</dateIssued><place><placeTerm type="text">Kyoto, Japan</placeTerm></place>
</originInfo>
<language><languageTerm authority="iso639-2b" type="code">eng</languageTerm>
</language>



<relatedItem type="host"><titleInfo><title>Proceedings - Symposium on Logic in Computer Science</title></titleInfo>
  <identifier type="ISI">000380427100026</identifier><identifier type="doi">10.1109/LICS.2015.34</identifier>
<part><detail type="volume"><number>2015-July</number></detail>
</part>
</relatedItem>
<relatedItem type="Supplementary material">
  <location>     <url>https://research-explorer.ista.ac.at/record/464</url>  </location>
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<bibliographicCitation>
<apa>Chatterjee, K., Henzinger, M., &amp;#38; Loitzenbauer, V. (2015). Improved algorithms for one-pair and k-pair Streett objectives. In &lt;i&gt;Proceedings - Symposium on Logic in Computer Science&lt;/i&gt; (Vol. 2015–July). Kyoto, Japan: IEEE. &lt;a href=&quot;https://doi.org/10.1109/LICS.2015.34&quot;&gt;https://doi.org/10.1109/LICS.2015.34&lt;/a&gt;</apa>
<ama>Chatterjee K, Henzinger M, Loitzenbauer V. Improved algorithms for one-pair and k-pair Streett objectives. In: &lt;i&gt;Proceedings - Symposium on Logic in Computer Science&lt;/i&gt;. Vol 2015-July. IEEE; 2015. doi:&lt;a href=&quot;https://doi.org/10.1109/LICS.2015.34&quot;&gt;10.1109/LICS.2015.34&lt;/a&gt;</ama>
<ieee>K. Chatterjee, M. Henzinger, and V. Loitzenbauer, “Improved algorithms for one-pair and k-pair Streett objectives,” in &lt;i&gt;Proceedings - Symposium on Logic in Computer Science&lt;/i&gt;, Kyoto, Japan, 2015, vol. 2015–July.</ieee>
<ista>Chatterjee K, Henzinger M, Loitzenbauer V. 2015. Improved algorithms for one-pair and k-pair Streett objectives. Proceedings - Symposium on Logic in Computer Science. LICS: Logic in Computer Science vol. 2015–July, 7174888.</ista>
<short>K. Chatterjee, M. Henzinger, V. Loitzenbauer, in:, Proceedings - Symposium on Logic in Computer Science, IEEE, 2015.</short>
<chicago>Chatterjee, Krishnendu, Monika Henzinger, and Veronika Loitzenbauer. “Improved Algorithms for One-Pair and k-Pair Streett Objectives.” In &lt;i&gt;Proceedings - Symposium on Logic in Computer Science&lt;/i&gt;, Vol. 2015–July. IEEE, 2015. &lt;a href=&quot;https://doi.org/10.1109/LICS.2015.34&quot;&gt;https://doi.org/10.1109/LICS.2015.34&lt;/a&gt;.</chicago>
<mla>Chatterjee, Krishnendu, et al. “Improved Algorithms for One-Pair and k-Pair Streett Objectives.” &lt;i&gt;Proceedings - Symposium on Logic in Computer Science&lt;/i&gt;, vol. 2015–July, 7174888, IEEE, 2015, doi:&lt;a href=&quot;https://doi.org/10.1109/LICS.2015.34&quot;&gt;10.1109/LICS.2015.34&lt;/a&gt;.</mla>
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