Set Theory and Logic


Refutation of Predicate Transformer Semantics for Hybrid Systems

Authors: Colin James III

We evaluate the steps of the approach to verify hybrid systems in the style of dynamic logic. Top tier input assumes modal Kleene algebras which are not bivalent. Middle tier processing invokes binary relations (which we do not test). Bottom tier output produces Lipschitz continuous vector fields as verification of hybrid store dynamics, which are not bivalent. This refutes the Isabelle framework for hybrid systems verification, and forms a non tautologous fragment of the universal logic VŁ4.

Comments: 2 Pages. Copyright 2019 by Colin James III All rights reserved. Respond to author by email only: info@cec-services dot com. See updated abstract at

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[v1] 2019-09-13 19:42:35

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