An efficiency preorder for processes
Acta Informatica
A process algebra for timed systems
Information and Computation
PAM: a process algebra manipulator
Formal Methods in System Design
Communication and Concurrency
A Calculus of Communicating Systems
A Calculus of Communicating Systems
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Bisimulation on speed: a unified approach
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Bisimulation on speed: a unified approach
Theoretical Computer Science
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FORTE '07 Proceedings of the 27th IFIP WG 6.1 international conference on Formal Techniques for Networked and Distributed Systems
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FSEN'11 Proceedings of the 4th IPM international conference on Fundamentals of Software Engineering
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FMOODS'12/FORTE'12 Proceedings of the 14th joint IFIP WG 6.1 international conference and Proceedings of the 32nd IFIP WG 6.1 international conference on Formal Techniques for Distributed Systems
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We introduce a quantitative concept for bisimulations by integrating the notion of amortisation (cf. [3]). This allows us to make behavioural comparisons between nondeterministic systems that are inherently non-terminating and to analyse the relative long-term costs of deploying them. To this end, we conservatively extend CCS to include a new set of cost-based actions and define a cost-based quantitative relation called amortised bisimulation. We demonstrate the applicability of our approach by two case studies. In both cases the cost of additional administration is shown to amortise. We furthermore show that the amortised preorder for speed introduced in [6] is naturally expressible in our setting.