A new time extension to φ-calculus based on time consuming transition semantics

Authors:
Marco Fischer;Stefan Förster;André Windisch;Dieter Monjau;Burkhard Balser
Affiliations:
Chemnitz University of Technology, Department of Computer Science, 09107 Chemnitz, Germany and EADS Military Aircraft, New Avionics Structures, 81663 Munich, Germany;Chemnitz University of Technology, Department of Computer Science, 09107 Chemnitz, Germany and EADS Military Aircraft, New Avionics Structures, 81663 Munich, Germany;EADS Military Aircraft, New Avionics Structures, 81663 Munich, Germany;Chemnitz University of Technology, Department of Computer Science, 09107 Chemnitz, Germany;EADS Military Aircraft, New Avionics Structures, 81663 Munich, Germany
Venue:
Languages for system specification
Year:
2004

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Abstract

This paper presents a dense time extension of the π-calculus based on time consuming transition semantics. The proposed extension tries to minimise the changes to the standard calculus whilst gaining enough expressiveness to model real-time systems. Syntactic rules and the operational semantics of the timed π-calculus are given. However, the main contribution consists of systems of equations recursively defined over timed labelled transition systems (TLTS), whose solutions provide time sets stating when processes and transitions are active.