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On locomorphism in analytical equivalence theory

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Logic, Language and Computation

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 792))

Abstract

A v-definable act is a program, logical and procedural at the same time, and also it is very close to a specification. Its semantics called the analytic semantics is given in a completely logical manner. The concept of homomorphism between acts called locomorphism, which is a generalization of equivalence, is introduced. A necessary and sufficient condition for whether or not there exists a morphism between two acts, one parallel and the other sequential, is presented, and some examples are studied.

This work was supported in part by the Grant-in-Aid for the Scientific Research of Ministry of Education, Science and Culture (No. 05302011) and also by Fuji Xerox.

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References

  1. Hoare, C. A. R.: Communicating Sequential Processes, Prentice-Hall International, 1985.

    Google Scholar 

  2. Igarashi, S.: An axiomatic approach to the equivalence problems of algorithms with applications, Rep. Comp. Centre Univ. Tokyo, 1 (1968), pp. 1–101.

    Google Scholar 

  3. Igarashi, S.: The v-conversion and an analytic semantics, in R. E. A. Mason (ed.), Inf. Proc. 83, Elsevier Science Publishers B.V., IFIP (1983), pp. 769–774.

    Google Scholar 

  4. Igarashi, S., Mizutani, T. and Tsuji, T.: An analytical semantics of parallel program processes represented by v-conversion., TENSOR, N. S., 45 (1987), pp. 222–228.

    Google Scholar 

  5. Igarashi, S., Mizutani, T. and Tsuji, T.: Specifications of parallel program processes in analytical semantics., TENSOR, N. S., 45 (1987), pp. 240–244.

    Google Scholar 

  6. Kröger, F.: Temporal logic of programs, Springer-Verlag, 1987.

    Google Scholar 

  7. Lamport, L.: What good is temporal logic?, in R. E. A. Mason (ed.), Inf. Proc. 83, Elsevier Science Publishers B.V., IFIP (1983), pp. 657–668.

    Google Scholar 

  8. Loogen, R. and Goltz, U.: Modelling nondeterministic concurrent processes with event structures, Fundamenta Informaticae, XIV (1991), pp. 39–74.

    Google Scholar 

  9. Manna, Z. and Pnueli, A.: Completing the temporal picture, Theor. Comp. Sci, 83 (1991), pp. 97–130.

    Article  Google Scholar 

  10. Milner, R.: Communication and Concurrency, Prentice-Hall International, 1989.

    Google Scholar 

  11. Mizutani, T., Hosono, C. and Igarashi, S.: Verification of programs using v-definable acts, Computer Software, 2, (1985), pp. 529–538 (in Japanese).

    Google Scholar 

  12. Mizutani, T.: An analytical equivalence theory of programs with applications., Ph. D. thesis, Univ. Tsukuba, 1987.

    Google Scholar 

  13. Mizutani, T., Igarashi, S. and Tsuji, T.: An analytical equivalence theory of computer programs, in A. Días, J. Echevererría and A. Ibarra (eds.), International symposium on structures in mathematical theories (1990), pp. 199–204.

    Google Scholar 

  14. Moszkowski, B. C.: Executing Temporal Logic Programs, Cambridge Univ. Press, 1986.

    Google Scholar 

  15. Olderog, E.-R.: Correctness of concurrent processes, Theor. Comp. Sci., 80 (1991), pp. 263–288.

    Article  Google Scholar 

  16. Soundararajan, N.: Denotational semantics of CSP, Theor. Comp. Sci., 33 (1984), pp. 279–304.

    Article  Google Scholar 

  17. Takeuti, G.: Two applications of logic to mathematics, Princeton University Press, 1978.

    Google Scholar 

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Neil D. Jones Masami Hagiya Masahiko Sato

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Igarashi, S., Mizutani, T., Tsuji, T., Hosono, C. (1994). On locomorphism in analytical equivalence theory. In: Jones, N.D., Hagiya, M., Sato, M. (eds) Logic, Language and Computation. Lecture Notes in Computer Science, vol 792. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0032400

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  • DOI: https://doi.org/10.1007/BFb0032400

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  • Print ISBN: 978-3-540-57935-9

  • Online ISBN: 978-3-540-48391-5

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