About: A Logic of Singly Indexed Arrays

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We present a logic interpreted over integer arrays, which allows difference bound  comparisons between array elements situated within a constant sized window. We show that the satisfiability problem for the logic is undecidable for formulae  with a quantifier prefix $\{\exists,\forall\}^\forall^\exists^\forall^$. For formulae  with quantifier prefixes in the $\exists^\forall^$ fragment, decidability is established  by an automata-theoretic argument. For each formula in the $\exists^\forall^$ fragment, we  can build a~flat counter automaton with difference bound transition rules (FCADBM) whose traces <br>correspond to the models of the formula. The construction is modular, following the syntax of  the formula. Decidability of the $\exists^\forall^$ fragment of the logic is a consequence  of the fact that reachability of a control state is decidable for FCADBM. We present a logic interpreted over integer arrays, which allows difference bound  comparisons between array elements situated within a constant sized window. We show that the satisfiability problem for the logic is undecidable for formulae  with a quantifier prefix $\{\exists,\forall\}^\forall^\exists^\forall^$. For formulae  with quantifier prefixes in the $\exists^\forall^$ fragment, decidability is established  by an automata-theoretic argument. For each formula in the $\exists^\forall^$ fragment, we  can build a~flat counter automaton with difference bound transition rules (FCADBM) whose traces <br>correspond to the models of the formula. The construction is modular, following the syntax of  the formula. Decidability of the $\exists^\forall^$ fragment of the logic is a consequence  of the fact that reachability of a control state is decidable for FCADBM. (en)
Title	A Logic of Singly Indexed Arrays A Logic of Singly Indexed Arrays (en)
skos:prefLabel	A Logic of Singly Indexed Arrays A Logic of Singly Indexed Arrays (en)
skos:notation	RIV/00216305:26230/08:PU78077!RIV10-MSM-26230___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA102/07/0322), Z(MSM0021630528)
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Vojnar, Tomáš
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Vysoké učení technické v Brně / Fakulta informačních technologií
http://linked.open...dnocenehoVysledku	354228
http://linked.open...ai/riv/idVysledku	RIV/00216305:26230/08:PU78077
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	mathematical logic, arrays, decidability, decision procedure, formal verification, automata (en)
http://linked.open.../riv/klicoveSlovo	automata mathematical logic decidability arrays formal verification decision procedure
http://linked.open...ontrolniKodProRIV	[673C20E7B1FA]
http://linked.open...v/mistoKonaniAkce	Doha
http://linked.open...i/riv/mistoVydani	Berlin
http://linked.open...i/riv/nazevZdroje	Logic for Programming, Artificial Intelligence and Reasoning
http://linked.open...in/vavai/riv/obor	JC
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Advanced Formal Approaches in the Design and Verification of Computer-Based Systems
http://linked.open...UplatneniVysledku	2008
http://linked.open...iv/tvurceVysledku	Vojnar, Tomáš Habermehl, Peter Radu, Iosif
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open.../riv/zahajeniAkce	2008-11-22 (xsd:date)
http://linked.open...n/vavai/riv/zamer	Výzkum informačních technologií z hlediska bezpečnosti
number of pages	16 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Springer-Verlag
https://schema.org/isbn	978-3-540-89438-4
http://localhost/t...ganizacniJednotka	26230

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