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Real-time MTL with durations as SMT with applications to schedulability analysis

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Resumo:This paper introduces a synthesis procedure for the satisfiability problem of RMTL- ∫ formulas as SAT solving modulo theories. RMTL- ∫ is a real-time version of metric temporal logic (MTL) extended by a duration quantifier allowing to measure time durations. For any given formula, a SAT instance modulo the theory of arrays, uninterpreted functions with equality and non-linear real-arithmetic is synthesized and may then be further investigated using appropriate SMT solvers. We show the benefits of using RMTL- ∫ with the given SMT encoding on a diversified set of examples that include in particular its application in the area of schedulability analysis. Therefore, we introduce a simple language for formalizing schedulability problems and show how to formulate timing constraints as RMTL- ∫ formulas. Our practical evaluation based on our synthesis and Z3 as back-end SMT solver also shows the feasibility of the overall approach.
Autores principais:Matos, Andre de
Outros Autores:Leucker, Martin; Pereira, David; Pinto, Jorge Sousa
Assunto:Metric temporal logic Schedulability analysis Constraint programming Satisfiability modulo theories
Ano:2020
País:Portugal
Tipo de documento:documento de conferência
Tipo de acesso:acesso embargado
Instituição associada:Instituto Politécnico do Porto
Idioma:inglês
Origem:Repositório Científico do Instituto Politécnico do Porto

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