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Original Articles

Functional systems in the context of temporal×modal logics with indexed flows

, &
Pages 1696-1706 | Received 01 Sep 2008, Accepted 03 Feb 2009, Published online: 18 Nov 2010
 

Abstract

We consider logics which define different properties of functions – such as injectivity, surjectivity, monotonicity, etc. – in the context of temporal×modal logic. In this type of logics, the possible worlds semantics is modified by considering each world as a temporal flow and using accessibility functions to represent the connection among them. This approach is adequate to model interactions between processes with clocks that can be either synchronized or not. We study the definability and give indexed axiomatic systems for these properties.

2000 AMS Subject Classifications :

Acknowledgements

Partially supported by the Spanish research projects TIN2006-15455-C03-01 and P6-FQM-02049.

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