Progress in Theoretical Computer Science

Verifying Temporal Properties of Systems

Authors: Bradfield, J.C.

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About this book

This monograph aims to provide a powerful general-purpose proof tech­ nique for the verification of systems, whether finite or infinite. It extends the idea of finite local model-checking, which was introduced by Stirling and Walker: rather than traversing the entire state space of a model, as is done for model-checking in the sense of Emerson, Clarke et ai. (checking whether a (finite) model satisfies a formula), local model-checking asks whether a particular state satisfies a formula, and only explores the nearby states far enough to answer that question. The technique used was a tableau method, constructing a tableau according to the formula and the local structure of the model. This tableau technique is here generalized to the infinite case by considering sets of states, rather than single states; because the logic used, the propositional modal mu-calculus, separates simple modal and boolean connectives from powerful fix-point operators (which make the logic more expressive than many other temporal logics), it is possible to give a rela­ tively straightforward set of rules for constructing a tableau. Much of the subtlety is removed from the tableau itself, and put into a relation on the state space defined by the tableau-the success of the tableau then depends on the well-foundedness of this relation. The generalized tableau technique is exhibited on Petri nets, and various standard notions from net theory are shown to playa part in the use of the technique on nets-in particular, the invariant calculus has a major role.

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Buy this book

eBook $69.99 net
( price for USA )
  • ISBN 978-1-4684-6819-9
  • digitally watermarked, no DRM
  • included format: PDF
  • eBooks can be used on all Reading Devices
Softcover $99.00 net
( price for USA )
  • ISBN 978-1-4684-6821-2
  • free shipping for individuals worldwide
  • usually dispatched within 3 to 5 business days

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Bibliographic Information

Bibliographic Information
Book Title
Verifying Temporal Properties of Systems
Series Title
Progress in Theoretical Computer Science
Copyright
1992
Publisher
Birkhäuser Basel
Copyright Holder
Julian Charles Bradfield
eBook ISBN
978-1-4684-6819-9
DOI
10.1007/978-1-4684-6819-9
Softcover ISBN
978-1-4684-6821-2
Edition Number
1
Topics