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Can Abstract State Machines Be Useful in Language Theory?

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Developments in Language Theory (DLT 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4036))

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Abstract

Abstract state machines (originally called evolving algebras) constitute a modern computation model [8]. ASMs describe algorithms without compromising the abstraction level. ASMs and ASM based tools have been used in academia and industry to give precise semantics for computing artifacts and to specify software and hardware [1, 2, 6]. In connection to the conference on Developments in Language Theory, we consider how and whether ASMs could be useful in language theory.

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References

  1. Abstract State Machines, http://www.eecs.umich.edu/groups/gasm/

  2. Abstract State Machine Language (AsmL), http://research.microsoft.com/fse/asml/

  3. Blass, A., Gurevich, Y.: Algorithms: A Quest for Absolute Definitions. Bulletin of the European Association for Theoretical Computer Science 81, 195–225 (2003)

    MATH  MathSciNet  Google Scholar 

  4. Blass, A., Gurevich, Y., Shelah, S.: Choiceless Polynomial Time. Annals of Pure and Applied Logic 100, 141–187 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  5. Blass, A., Gurevich, Y., Shelah, S.: On Polynomial Time Computation Over Unordered Structures. Journal of Symbolic Logic 67(3), 1093–1125 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  6. Börger, E.: Abstract State Machines: A Unifying View of Models of Computation and of System Design Frameworks. Annals of Pure and Applied Logic 133, 149–171 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  7. Grädel, E., Nowack, A.: Quantum Computing and Abstract State Machines. In: Börger, E., Gargantini, A., Riccobene, E. (eds.) ASM 2003. LNCS, vol. 2589, pp. 309–323. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  8. Gurevich, Y.: Evolving Algebras 1993: Lipari Guide. In: Börger, E. (ed.) Specification and Validation Methods, pp. 9–36. Oxford University Press, Oxford (1995)

    Google Scholar 

  9. Gurevich, Y.: Sequential Abstract State Machines Capture Sequential Algorithms. ACM Transactions on Computational Logic 1(1), 77–111 (2000)

    Article  MathSciNet  Google Scholar 

  10. Gurevich, Y., Rossman, B., Schulte, W.: Semantic Essence of AsmL. Theoretical Computer Science 343(3), 370–412 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  11. Gurevich, Y.: Interactive Algorithms 2005. In: Jedrzejowicz, J., Szepietowski, A. (eds.) MFCS 2005. LNCS, vol. 3618, pp. 26–38. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  12. Nerode, A.: Linear Automaton Transformations. Proceedings of the American Mathematical Society 9, 541–544 (1958)

    Article  MATH  MathSciNet  Google Scholar 

  13. Rozenberg, G. (ed.): Handbook of Graph Grammars and Computing by Graph Transformation, vol. 1 - Foundations. World Scientific, Singapore (1997)

    Google Scholar 

  14. Turing, A.M.: On computable numbers, with an application to the Entscheidungsproblem. Proceedings of London Mathematical Society, series 2, 42, pp. 230–265 (1936-1937), Correction, ibidem, 43, 544–546

    Google Scholar 

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Gurevich, Y., Wallace, C. (2006). Can Abstract State Machines Be Useful in Language Theory?. In: Ibarra, O.H., Dang, Z. (eds) Developments in Language Theory. DLT 2006. Lecture Notes in Computer Science, vol 4036. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11779148_2

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  • DOI: https://doi.org/10.1007/11779148_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-35428-4

  • Online ISBN: 978-3-540-35430-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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