Titlebook: Logics and Type Systems in Theory and Practice; Essays Dedicated to Venanzio Capretta,Robbert Krebbers,Freek Wiedijk Book 2024 The Editor(

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,Approximation Fixpoint Theory in Coq,revealed itself to be applicable in a variety of new domains within knowledge representation. In this work, we present a formalisation of the key constructions and results of AFT in the Coq theorem prover, together with a case study illustrating its application to propositional logic programming.

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Between Brackets, is labeled with a member of a given set of non-logical constant or function symbols. This labeled tree can be embedded in the plane in such a way that the vertices correspond to labeled points on a circle and the edges to non-crossing line segments..In this article, we show that in the standard not

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,Relating Apartness and Branching Bisimulation Games, formally dual to bisimilarity, and gives an explicit proof system for showing that certain states are not bisimilar. In the current paper, we relate apartness to another classical element of the theory of behavioural equivalences: that of turn-based two-player games. Studying both strong and branch

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,A New Perspective on Conformance Testing Based on Apartness,ased entirely in terms of properties of the observation/prefix tree induced by a test suite, in particular in terms of apartness relations between states. The original result of Vasilevskii and Chow is then a corollary of our result. Also .-completeness results for other test methods that have been

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