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A Categorical Metamodel for Reactive Kripke Frames

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  • Crăciunean Daniel C.

    (Computer Science and Electrical and Electronics Engineering Department, Faculty of Engineering, “Lucian Blaga” University of Sibiu, Romania)

Abstract

In a reactive Kripke model, evaluation of logical operators can cause reconfiguration of the model in which the formula is evaluated. Therefore, in reactive Kripke frames, the evaluation of a logical formula in a world depends both on the world in which the evaluation is made and on the worlds it has passed through previously. The result is an extended semantics, which can specify a class of modal logics more comprehensive than the class specified by ordinary Kripke frames. This paper introduces a metamodel for reactive Kripke frames, based on the concept of categorical sketch. We believe that the categorical sketch is an appropriate metamodel for specifying a Kripke frame model.

Suggested Citation

  • Crăciunean Daniel C., 2023. "A Categorical Metamodel for Reactive Kripke Frames," International Journal of Advanced Statistics and IT&C for Economics and Life Sciences, Sciendo, vol. 13(1), pages 3-13, December.
    • Handle: RePEc:vrs:ijsiel:v:13:y:2023:i:1:p:3-13:n:2
    DOI: 10.2478/ijasitels-2023-0001
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