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Mechanizing Bisimulation Theorems for Relation-Changing Logics in Coq

  • Raul FervariEmail author
  • Francisco Trucco
  • Beta Ziliani
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 12005)

Abstract

Over the last years, the study of logics that can modify a model while evaluating a formula has gained in interest. Motivated by many examples in practice such as hybrid logics, separation logics and dynamic epistemic logics, the ability of updating a model has been investigated from a more general point of view. In this work, we formalize and verify in the proof assistant Coq, the bisimulation theorems for a particular family of dynamic logics that can change the accessibility relation of a model. The benefits of this formalization are twofold. First, our results apply for a wide variety of dynamic logics. Second, we argue that this is the first step towards the development of a modal logic library in Coq, which allows us to mechanize many relevant results in modal logics.

Notes

Ackowledgements

This work was partially supported by ANPCyT-PICTs-2017-1130 and 2016-0215, MinCyT Córdoba, SeCyT-UNC, and the Laboratoire International Associé INFINIS.

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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Raul Fervari
    • 1
    • 2
    Email author
  • Francisco Trucco
    • 1
  • Beta Ziliani
    • 1
    • 2
  1. 1.FaMAFUniversidad Nacional de CórdobaCórdobaArgentina
  2. 2.Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET)Buenos AiresArgentina

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