A Logic for Non-deterministic Parallel Abstract State Machines

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 Stark 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.

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