2014
DOI: 10.1007/978-3-662-44522-8_7
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A Logical Characterization of Timed (non-)Regular Languages

Abstract: Abstract. CLTLoc (Constraint LTL over clocks) is a quantifier-free extension of LTL allowing variables behaving like clocks over real numbers. CLTLoc is in PSPACE [9] and its satisfiability can polynomially be reduced to a SMT problem, allowing a feasible implementation of a decision procedure. We used CLTLoc to capture the semantics of metric temporal logics over continuous time, such as Metric Interval Temporal Logic (MITL), resulting in the first successful implementation of a tool for checking MITL satisfi… Show more

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Cited by 7 publications
(7 citation statements)
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“…In fact, modeling real‐time executions of the server, where the relation between the computation delay and server load and the temporal relation among events matter, required a model that is affected by a combinatorial blow‐up. This drawback is unavoidable in the current setting and characterizes also the approaches based on timed automata that can be considered as an alternative to CLTLoc, being equivalent to CLTLoc . In addition, their inherent operational nature is not suitable to model logical constraints on quantitative measures, such as the servers load, the incompatibilities, and the utility function, resulting in an elaborated representation which, on the other hand, is very natural in a logical language.…”
Section: Discussionmentioning
confidence: 99%
“…In fact, modeling real‐time executions of the server, where the relation between the computation delay and server load and the temporal relation among events matter, required a model that is affected by a combinatorial blow‐up. This drawback is unavoidable in the current setting and characterizes also the approaches based on timed automata that can be considered as an alternative to CLTLoc, being equivalent to CLTLoc . In addition, their inherent operational nature is not suitable to model logical constraints on quantitative measures, such as the servers load, the incompatibilities, and the utility function, resulting in an elaborated representation which, on the other hand, is very natural in a logical language.…”
Section: Discussionmentioning
confidence: 99%
“…In fact, modeling real-time executions of the server, where the relation between the computation delay and server load and the temporal relation among events matter, required a model that is affected by a combinatorial blow-up. This drawback is unavoidable in the current setting and characterizes also the approaches based on Timed automata which can be considered as an alternative to CLTLoc, being equivalent to CLTLoc [6]. In addition, their inherent operational nature is not suitable to model logical constraints on quantitative measures, like the servers load, the incompatibilities and the utility function, resulting into an elaborated representation which, on the other hand, is very natural in a logical language.…”
Section: Discussionmentioning
confidence: 99%
“…CLTLoc (CLTL-over-clocks) is a variant of CLTL where the clock variables are the only arithmetic variables that are considered in the atomic constraints. It has been proven in [11] that CLTLoc is equivalent to timed automata [16]. Moreover, it can be polynomially reduced to decidable Satisfiability Modulo Theories which are solvable by many SMT solvers such as Z3 10 .…”
Section: A Mitl Satisfiabilitymentioning
confidence: 99%