Towards Systematic Construction of Temporal Logics for Dynamical Systems via Coalgebra

Abstract : Temporal logics are an obvious high-level descriptive companion formalism to dynamical systems which model behavior as deterministic evolution of state over time. A wide variety of distinct temporal logics applicable to dynamical systems exists, and each candidate has its own pragmatic justification. Here, a systematic approach to the construction of temporal logics for dynamical systems is proposed: Firstly, it is noted that dynamical systems can be seen as coalgebras in various ways. Secondly, a straightforward standard construction of modal logics out of coalgebras, namely Moss’s coalgebraic logic, is applied. Lastly, the resulting systems are characterized with respect to the temporal properties they express.
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Marcello M. Bonsangue. 12th International Workshop on Coalgebraic Methods in Computer Science (CMCS), Apr 2014, Grenoble, France. Lecture Notes in Computer Science, LNCS-8446, pp.211-224, 2014, Coalgebraic Methods in Computer Science. 〈10.1007/978-3-662-44124-4_12〉
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Baltasar Trancón y Widemann. Towards Systematic Construction of Temporal Logics for Dynamical Systems via Coalgebra. Marcello M. Bonsangue. 12th International Workshop on Coalgebraic Methods in Computer Science (CMCS), Apr 2014, Grenoble, France. Lecture Notes in Computer Science, LNCS-8446, pp.211-224, 2014, Coalgebraic Methods in Computer Science. 〈10.1007/978-3-662-44124-4_12〉. 〈hal-01408761〉

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