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Modal Observation Equivalence of Processes

Modal Observation Equivalence of Processes
Modal Observation Equivalence of Processes
This paper shows that many simulation equivalences over processes can be characterised by a single parameterised modal logic formula. Strong bisimulation equivalence was shown by Milner to be characterised in this way. This paper shows that simulation, complete simulation, ready simulation, 2-nested simulation, weak bisimulation and congruence can also be characterised in this way. The paper constructs a template which can be used to generate a parametrised modal formula which is guaranteed to characterise a 'sensible' simulation equivalence. Two infinite families of simulation equivalences are characterised in this way, both of which converge to strong bisimulation. The paper defines a similar template for weak simulation equivalences. This template is used to construct an infinite family of equivalences which converges to weak bisimulation equivalence, and another infinite family which converges to congruence.
Mitchell, Bill
5d045751-9ef4-4375-9e89-dbae07c90049
Carlisle, David
0b5b59c3-b397-45b9-922c-0efa6c16a2df
Mitchell, Bill
5d045751-9ef4-4375-9e89-dbae07c90049
Carlisle, David
0b5b59c3-b397-45b9-922c-0efa6c16a2df

Mitchell, Bill and Carlisle, David (1995) Modal Observation Equivalence of Processes

Record type: Monograph (Project Report)

Abstract

This paper shows that many simulation equivalences over processes can be characterised by a single parameterised modal logic formula. Strong bisimulation equivalence was shown by Milner to be characterised in this way. This paper shows that simulation, complete simulation, ready simulation, 2-nested simulation, weak bisimulation and congruence can also be characterised in this way. The paper constructs a template which can be used to generate a parametrised modal formula which is guaranteed to characterise a 'sensible' simulation equivalence. Two infinite families of simulation equivalences are characterised in this way, both of which converge to strong bisimulation. The paper defines a similar template for weak simulation equivalences. This template is used to construct an infinite family of equivalences which converges to weak bisimulation equivalence, and another infinite family which converges to congruence.

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Published date: 1995
Organisations: Electronics & Computer Science, IT Innovation

Identifiers

Local EPrints ID: 267413
URI: http://eprints.soton.ac.uk/id/eprint/267413
PURE UUID: 8745030a-128a-46fb-bc75-a9996dc9757d

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Date deposited: 28 May 2009 14:04
Last modified: 14 Mar 2024 08:50

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Contributors

Author: Bill Mitchell
Author: David Carlisle

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