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Decidability in Syntactic Control of Interference

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Automata, Languages and Programming (ICALP 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3580))

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Abstract

We investigate the decidability of observational equivalence and approximation in “Syntactic Control of Interference” (SCI). By associating denotations of terms in an inequationally fully abstract model of finitary basic SCI with multitape finite state automata, we show that observational approximation is not decidable (even at first order), but that observational equivalence is decidable for all terms. We then consider the same problems for basic SCI extended with non-local control in the form of backwards jumps. We show that both observational approximation and observational equivalence are decidable in this language by describing a fully abstract games model in which strategies are regular languages.

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References

  1. Abramsky, S., McCusker, G.: Linearity, Sharing and State: a fully abstract game semantics for Idealized Algol with active expressions. In: O’Hearn, P.W., Tennent, R. (eds.) Algol-like languages. Birkhauser, Basel (1997)

    Google Scholar 

  2. Cartwright, R., Felleisen, M.: Observable sequentiality and full abstraction. In: Proceedings of POPL 1992 (1992)

    Google Scholar 

  3. Ghica, D., McCusker, G.: The regular language semantics of second-order Idealised Algol. Theoretical Computer Science (2003) (to appear)

    Google Scholar 

  4. Harju, T., Karhumäki, J.: The equivalence problem of multitape finite automata. Theoretical Computer Science 78, 347–355 (1991)

    Article  MATH  MathSciNet  Google Scholar 

  5. Hindley, J.R.: Basic Simple Type Theory. Cambridge University Press, Cambridge (1997)

    Book  MATH  Google Scholar 

  6. Hyland, J.M.E., Ong, C.-H.L.: On full abstraction for PCF: I, II and III. Information and Computation 163, 285–408 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  7. Kinber, E.: The inclusion problem for some classes of deterministic multitape automata. Theoretical Computer Science 26, 62–73 (1983)

    Article  MathSciNet  Google Scholar 

  8. Laird, J.: Game semantics and Linear CPS interpretation. Theoretical Computer Science 333, 199–224 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  9. Loader, R.: Finitary PCF is undecidable. Annals of Pure and Applied Logic (2000)

    Google Scholar 

  10. McCusker, G.: A fully abstract relational model of Syntactic Control of Interference. In: Bradfield, J.C. (ed.) CSL 2002 and EACSL 2002. LNCS, vol. 2471, p. 247. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  11. McCusker, G.: On the semantics of the bad-variable constructor in Algol-like languages. In: Proceedings of MFPS XIX. ENTCS (2003) (to appear)

    Google Scholar 

  12. McCusker, G., Wall, M.: Categorical and game semantics for SCIR. In: The proceedings of Games for Logics and Programming Languages (2004)

    Google Scholar 

  13. Murawski, A.: On program equivalence in languages with ground-type references. In: Proceedings of LICS 2003. IEEE Press, Los Alamitos (2003)

    Google Scholar 

  14. Murawski, A., Walukiewicz, I.: Third-order Idealized Algol with iteration is decidable. In: Sassone, V. (ed.) FOSSACS 2005. LNCS, vol. 3441, pp. 202–218. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  15. O’Hearn, P.W., Power, A.J., Takeyama, M., Tennent, R.D.: Syntactic control of interference revisited. Theoretical Computer Science 228(1-2), 211–252 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  16. Rabin, M., Scott, D.: Finite automata and their decision problems. IBM Journal of Research and Development 3, 114–125 (1959)

    Article  MathSciNet  Google Scholar 

  17. Reddy, U.S.: Global state considered unnecesary: Object-based semantics for interference-free imperative programs. Lisp and Symbolic Computation 9(1) (1996)

    Google Scholar 

  18. Reynolds, J.: Syntactic Control of Interference. Conf. Record 5th ACM Symposium on Principles of Programming Languages, 39–46 (1978)

    Google Scholar 

  19. Reynolds, J.: The essence of Algol. In: Algorithmic Languages, pp. 345–372. North Holland, Amsterdam (1981)

    Google Scholar 

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Laird, J. (2005). Decidability in Syntactic Control of Interference. In: Caires, L., Italiano, G.F., Monteiro, L., Palamidessi, C., Yung, M. (eds) Automata, Languages and Programming. ICALP 2005. Lecture Notes in Computer Science, vol 3580. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11523468_73

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  • DOI: https://doi.org/10.1007/11523468_73

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-27580-0

  • Online ISBN: 978-3-540-31691-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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