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  Verification and Synthesis Using Real Quantifier Elimination

Sturm, T., & Tiwari, A. (2011). Verification and Synthesis Using Real Quantifier Elimination. In A. Leykin (Ed.), ISSAC 2011 (pp. 329-336). New York, NY: ACM. doi:10.1145/1993886.1993935.

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Datensatz-Permalink: https://hdl.handle.net/11858/00-001M-0000-0010-14F9-7 Versions-Permalink: https://hdl.handle.net/11858/00-001M-0000-0024-1D93-D
Genre: Konferenzbeitrag

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Urheber

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 Urheber:
Sturm, Thomas1, Autor           
Tiwari, Ashish2, Autor
Affiliations:
1Automation of Logic, MPI for Informatics, Max Planck Society, ou_1116545              
2External Organizations, ou_persistent22              

Inhalt

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Schlagwörter: -
 Zusammenfassung: We present the application of real quantifier elimination to formal verification and synthesis of continuous and switched dynamical systems. Through a series of case studies, we show how first-order formulas over the reals arise when formally analyzing models of complex control systems. Existing off-the-shelf quantifier elimination procedures are not successful in eliminating quantifiers from many of our benchmarks. We therefore automatically combine three established software components: virtual subtitution based quantifier elimination in Reduce/Redlog, cylindrical algebraic decomposition implemented in Qepcad, and the simplifier Slfq implemented on top of Qepcad. We use this combination to successfully analyze various models of systems including adaptive cruise control in automobiles, adaptive flight control system, and the classical inverted pendulum problem studied in control theory.

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Sprache(n): eng - English
 Datum: 20112011
 Publikationsstatus: Erschienen
 Seiten: -
 Ort, Verlag, Ausgabe: -
 Inhaltsverzeichnis: -
 Art der Begutachtung: -
 Identifikatoren: eDoc: 619017
DOI: 10.1145/1993886.1993935
URI: http://dl.acm.org/ft_gateway.cfm?id=1993935&ftid=983740&dwn=1&CFID=78354182&CFTOKEN=89999428
Anderer: Local-ID: C125716C0050FB51-7E61E0C62FFBF07EC1257987003B0382-SturmTiwari:11a
 Art des Abschluß: -

Veranstaltung

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Titel: 36th International Symposium on Symbolic and Algebraic Computation
Veranstaltungsort: San Jose, CA
Start-/Enddatum: 2011-06-08 - 2011-06-11

Entscheidung

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Titel: ISSAC 2011
  Untertitel : Proceedings of the 36th International Symposium on Symbolic and Algebraic Computation
Genre der Quelle: Konferenzband
 Urheber:
Leykin, Anton1, Herausgeber
Affiliations:
1 External Organizations, ou_persistent22            
Ort, Verlag, Ausgabe: New York, NY : ACM
Seiten: - Band / Heft: - Artikelnummer: - Start- / Endseite: 329 - 336 Identifikator: ISBN: 978-1-4503-0675-1