Proving termination through conditional termination

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Název: Proving termination through conditional termination
Autoři: Borralleras Andreu, Cristina, Brockschmidt, Marc, Larraz Hurtado, Daniel, Oliveras Llunell, Albert, Rodríguez Carbonell, Enric, Rubio Gimeno, Alberto
Přispěvatelé: Universitat Politècnica de Catalunya. Departament de Ciències de la Computació, Universitat Politècnica de Catalunya. LOGPROG - Lògica i Programació
Informace o vydavateli: Springer
Rok vydání: 2017
Sbírka: Universitat Politècnica de Catalunya, BarcelonaTech: UPCommons - Global access to UPC knowledge
Témata: Àrees temàtiques de la UPC::Informàtica::Informàtica teòrica, Integer programming, Ranking function, Entry transition, Program component, Satisfiability modulo theory, Program transformation, Programació en nombres enters
Popis: We present a constraint-based method for proving conditional termination of integer programs. Building on this, we construct a framework to prove (unconditional) program termination using a powerful mechanism to combine conditional termination proofs. Our key insight is that a conditional termination proof shows termination for a subset of program execution states which do not need to be considered in the remaining analysis. This facilitates more effective termination as well as non-termination analyses, and allows handling loops with different execution phases naturally. Moreover, our method can deal with sequences of loops compositionally. In an empirical evaluation, we show that our implementation VeryMax outperforms state-of-the-art tools on a range of standard benchmarks. ; Peer Reviewed ; Postprint (author's final draft)
Druh dokumentu: conference object
Popis souboru: 19 p.; application/pdf
Jazyk: English
Relation: https://link.springer.com/chapter/10.1007/978-3-662-54577-5_6; info:eu-repo/grantAgreement/EC/H2020/648276/EU/A Unified Theory of Algorithmic Relaxations/AUTAR; info:eu-repo/grantAgreement/MINECO//TIN2015-69175-C4-3-R/ES/SOLUCIONES EFECTIVAS BASADAS EN LA LOGICA/; http://hdl.handle.net/2117/179916
DOI: 10.1007/978-3-662-54577-5_6
Dostupnost: http://hdl.handle.net/2117/179916
https://doi.org/10.1007/978-3-662-54577-5_6
Rights: Open Access
Přístupové číslo: edsbas.A99F6C24
Databáze: BASE
Popis
Abstrakt:We present a constraint-based method for proving conditional termination of integer programs. Building on this, we construct a framework to prove (unconditional) program termination using a powerful mechanism to combine conditional termination proofs. Our key insight is that a conditional termination proof shows termination for a subset of program execution states which do not need to be considered in the remaining analysis. This facilitates more effective termination as well as non-termination analyses, and allows handling loops with different execution phases naturally. Moreover, our method can deal with sequences of loops compositionally. In an empirical evaluation, we show that our implementation VeryMax outperforms state-of-the-art tools on a range of standard benchmarks. ; Peer Reviewed ; Postprint (author's final draft)
DOI:10.1007/978-3-662-54577-5_6