Timed Concurrent Constraint Programming: Decidability Results and Their Application to LTL

  • Frank D. Valencia
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2916)


The ntcc process calculus is a timed concurrent constraint programming (ccp) model equipped with a first-order linear-temporal logic (LTL) for expressing process specifications. A typical behavioral observation in ccp is the strongest postcondition (sp). The ntcc sp denotes the set of all infinite output sequences that a given process can exhibit. The verification problem is then whether the sequences in the sp of a given process satisfy a given ntcc LTL formula.

This paper presents new positive decidability results for timed ccp as well as for LTL. In particular, we shall prove that the following problems are decidable: (1) The sp equivalence for the so-called locally-independentntcc fragment; unlike other fragments for which similar results have been published, this fragment can specify infinite-state systems. (2) Verification for locally-independent processes and negation-free first-order formulae of the ntcc LTL. (3) Implication for such formulae. (4) Satisfiability for a first-order fragment of Manna and Pnueli’s LTL. The purpose of the last result is to illustrate the applicability of ccp to well-established formalisms for concurrency.


Temporal Logic Constraint Programming Decidability Result Observable Transition State Formula 
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© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Frank D. Valencia
    • 1
  1. 1.Dept. of Information TechnologyUppsala UniversityUppsalaSweden

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