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A Logic for Non-deterministic Parallel Abstract State Machines

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Foundations of Information and Knowledge Systems (FoIKS 2016)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 9616))

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Abstract

We develop a logic which enables reasoning about single steps of non-deterministic parallel Abstract State Machines (ASMs). Our logic builds upon the unifying logic introduced by Nanchen and Stärk for reasoning about hierarchical (parallel) ASMs. Our main contribution to this regard is the handling of non-determinism (both bounded and unbounded) within the logical formalism. Moreover, we do this without sacrificing the completeness of the logic for statements about single steps of non-deterministic parallel ASMs, such as invariants of rules, consistency conditions for rules, or step-by-step equivalence of rules.

Work supported by the Austrian Science Fund (FWF: [P26452-N15]). Project: Behavioural Theory and Logics for Distributed Adaptive Systems.

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Correspondence to Flavio Ferrarotti .

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Ferrarotti, F., Schewe, KD., Tec, L., Wang, Q. (2016). A Logic for Non-deterministic Parallel Abstract State Machines. In: Gyssens, M., Simari, G. (eds) Foundations of Information and Knowledge Systems. FoIKS 2016. Lecture Notes in Computer Science(), vol 9616. Springer, Cham. https://doi.org/10.1007/978-3-319-30024-5_18

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  • DOI: https://doi.org/10.1007/978-3-319-30024-5_18

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