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A BISIMULATION CHARACTERIZATION THEOREM FOR HYBRID LOGIC WITH THE CURRENT-STATE BINDER

Published online by Cambridge University Press:  26 February 2010

IAN HODKINSON  and
HICHAM TAHIRI
IAN HODKINSON*
Affiliation:
Imperial College London
HICHAM TAHIRI*
Affiliation:
Imperial College London
*
*DEPARTMENT OF COMPUTING, IMPERIAL COLLEGE, LONDON SW7 2AZ, UK. E-mail: imh@doc.ic.ac.uk, hicham.tahiri@centraliens.net
*DEPARTMENT OF COMPUTING, IMPERIAL COLLEGE, LONDON SW7 2AZ, UK. E-mail: imh@doc.ic.ac.uk, hicham.tahiri@centraliens.net
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Abstract

We prove that every first-order formula that is invariant under quasi-injective bisimulations is equivalent to a formula of the hybrid logic . Our proof uses a variation of the usual unravelling technique. We also briefly survey related results, and show in a standard way that it is undecidable whether a first-order formula is invariant under quasi-injective bisimulations.

Type
Research Article
Information
The Review of Symbolic Logic , Volume 3 , Issue 2 , June 2010 , pp. 247 - 261
Copyright
Copyright © Association for Symbolic Logic 2010

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References

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