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Bisimulations and predicate logic

Published online by Cambridge University Press:  12 March 2014

Tim Fernando*
Affiliation:
Institut für Maschinelle Sprachverarbeitung, University of Stuttgart, D 70174 Stuttgart, Germany, E-mail: fernando@ims.uni-stuttgart.de

Abstract

Elementary (first-order) and nonelementary (set-theoretic) aspects of the largest bisimulation are considered with a view toward analyzing operational semantics from the perspective of predicate logic. The notion of a bisimulation is employed in two distinct ways: (i) as an extensional notion of equivalence on programs (or processes) generalizing input/output equivalence (at a cost exceeding over certain transition predicates computable in log space), and (ii) as a tool for analyzing the dependence of transitions on data (which can be shown to be elementary or nonelementary, depending on the formulation of the transitions).

Information

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 1994

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