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A Logical Viewpoint on Process-Algebraic Quotients

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1683))

Abstract

We study the following problem: Given a transition system \(\tau\) and its quotient \({\tau \mathord{\left/{\vphantom {\tau \sim }} \right.\kern-\nulldelimiterspace} \sim }\)under an equivalence∼, which are the sets \(\mathcal{L},\mathcal{L}'\)of Hennessy-Milner formulae such that: if \(\varphi \in \mathcal{L}\)and \(\tau\) satisfies ϕ, then \({\tau \mathord{\left/{\vphantom {\tau \sim }} \right.\kern-\nulldelimiterspace} \sim }\)satisfies ϕ; if \(\varphi \in \mathcal{L}'\)and \({\tau \mathord{\left/{\vphantom {\tau \sim }} \right.\kern-\nulldelimiterspace} \sim }\)satisfies ϕ, then \(\tau\)satisfies ϕ.

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Kučera, A., Esparza, J. (1999). A Logical Viewpoint on Process-Algebraic Quotients. In: Flum, J., Rodriguez-Artalejo, M. (eds) Computer Science Logic. CSL 1999. Lecture Notes in Computer Science, vol 1683. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48168-0_35

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  • DOI: https://doi.org/10.1007/3-540-48168-0_35

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66536-6

  • Online ISBN: 978-3-540-48168-3

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