Consistency checking of automata functional specifications

  • Anatoli N. Chebotarev
  • Marina K. Morokhovets
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 698)


The use of a subset of a first order unary predicate language as a language for deterministic cyclic automata specification is considered. The formulas of the language are interpreted over the set of integers, which is regarded as a discrete time domain. An efficient algorithm for consistency checking of specifications in this language, based on modified resolution procedure, is suggested. This algorithm is implemented as a completion procedure. The use of the integers as the interpretation domain for the specification language made it possible to essentially simplify this procedure.


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  1. 1.
    A. Church: Applications of recursive arithmetic to the problem of circuit synthesis. In: Summaries of the Summer Inst. for Symbolic Logic, Cornell University, Ithaca, New York: 1957, pp. 3–50Google Scholar
  2. 2.
    J.R. Buchi: Weak second-order arithmetic and finite automata. Zeitshr. Math. Logik und Grundl. der Math. 6, 66–92 (1960)Google Scholar
  3. 3.
    B.A. Trakhtenbrot, J.M. Barzdin: Finite automata (behaviour and synthesis) (in Russian). Moscow, USSR: Nauka 1970Google Scholar
  4. 4.
    B. Auernheimer, R.A. Kemmerer: RT-ASLAN: A specification language for real-time systems. IEEE Transactions on Software Engineering SE-12, 879–889 (1986)Google Scholar
  5. 5.
    F. Jahanian, A. Ka-Lan-Hok: Safety analysis of timing properties in realtime systems. IEEE Transactions on Software Engineering SE-12, 890–904 (1986)Google Scholar
  6. 6.
    C. Ghezzi, D. Handrioli, A. Morzenti: TRIO: A logic language for executable specifications of real-time systems. Journal of Systems and Software 12, 107–123 (1990)CrossRefGoogle Scholar
  7. 7.
    A.N. Chebotarev: On one approach to functional specification of automata systems. Cybernetics and Systems Analysis (Translated from Russian), to be appeared, 1993Google Scholar
  8. 8.
    C.L. Chang, R.C.T. Lee: Symbolic logic and mechanical theorem proving. New York-San Francisco-London: Academic press 1973Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Anatoli N. Chebotarev
    • 1
  • Marina K. Morokhovets
    • 1
  1. 1.Glushkov Institute of CyberneticsUkrainian Academy of SciencesKievUkraine

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