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UNIVERSITY OF AARHUS DEPARTMENT OF COMPUTER SCIENCE |
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| Abstract for PB-294 | ||||
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Title: A Compositional Proof System on a Category of Labelled Transition Systems
Author(s): Glynn Winskel
Abstract:
This paper presents an attempt to cast labelled transition systems,
and other models of parallel computation, in a category-theoretic framework. One aim is
to use category theory to provide abstract characterisations of constructions like parallel
composition valid throughout a range of different models and to provide formal means for
translating between different models. Another aim is to exploit the framework of categorical
logic to systematise specification languages and the derivation of proof systems for parallel
processes. After presenting a category of labelled transition systems, its categorical
constructions are used to establish a compositional proof system. A category of properties
of transition systems indexed by the category of labelled transition systems is used in
forrning the proof system.