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Modal logic and the approximation induction principle

Published online by Cambridge University Press:  28 February 2012

MACIEJ GAZDA  and
WAN FOKKINK
MACIEJ GAZDA
Affiliation:
Eindhoven University of Technology, Department of Computer Science, P.O.Box 513, 5600 MB Eindhoven, The Netherlands Email: m.w.gazda@tue.nl
WAN FOKKINK
Affiliation:
VU University Amsterdam, Department of Computer Science, De Boelelaan 1081a, 1081 HV Amsterdam, The Netherlands Email: wanf@cs.vu.nl
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Abstract

We prove a compactness theorem in the context of Hennessy–Milner logic and use it to derive a sufficient condition on modal characterisations for the approximation induction principle to be sound modulo the corresponding process equivalence. We show that this condition is necessary when the equivalence in question is compositional with respect to the projection operators. Furthermore, we derive different upper bounds for the constructive version of the approximation induction principle with respect to simulation and decorated trace semantics.

Type
Paper
Information
Mathematical Structures in Computer Science , Volume 22 , Special Issue 2: Express '09, Ice '09 and Sos '09 , April 2012 , pp. 175 - 201
Copyright
Copyright © Cambridge University Press 2012

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