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Observations on the Decidability of Transitions

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Book cover Abstract State Machines 2004. Advances in Theory and Practice (ASM 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3052))

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Abstract

Consider a multiple-agent transition system such that, for some basic types T 1,...,T n , the state of any agent can be represented as an element of the Cartesian product T 1× ⋯ ×T n . The system evolves by means of global steps. During such a step, new agents may be created and some existing agents may be updated or removed, but the total number of created, updated and removed agents is uniformly bounded.

We show that, under appropriate conditions, there is an algorithm for deciding assume-guarantee properties of one-step computations. The result can be used for automatic invariant verification as well as for finite state approximation of the system in the context of test-case generation from AsmL specifications.

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References

  1. Foundations of Software Engineering group, Microsoft Research, http://research.microsoft.com/fse/

  2. AsmL: The Abstract State Machine Language. Reference Manual. Modeled Computation LLC (2002), http://research.microsoft.com/fse/asml/

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© 2004 Springer-Verlag Berlin Heidelberg

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Gurevich, Y., Yavorskiy, R. (2004). Observations on the Decidability of Transitions. In: Zimmermann, W., Thalheim, B. (eds) Abstract State Machines 2004. Advances in Theory and Practice. ASM 2004. Lecture Notes in Computer Science, vol 3052. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24773-9_12

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  • DOI: https://doi.org/10.1007/978-3-540-24773-9_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22094-7

  • Online ISBN: 978-3-540-24773-9

  • eBook Packages: Springer Book Archive

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