Temporal Reasoning for Procedural Programs

14 years 1 months ago

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While temporal verification of programs is a topic with a long history, its traditional basis--semantics based on word languages--is illsuited for modular reasoning about procedural programs. We address this issue by defining the semantics of procedural (potentially recursive) programs using languages of nested words and developing a framework for temporal reasoning around it. This generalization has two benefits. First, this style of reasoning naturally unifies Manna-Pnueli-style temporal reasoning with Hoare-style reasoning about structured programs. Second, it allows verification of "non-regular" properties of specific procedural contexts--e.g., "If a lock is acquired in a context, then it is released in the same context." We present proof rules for a variety of properties such as local safety, local response, and staircase reactivity; our rules are sufficient to prove all temporal properties over nested words. We show that our rules are sound and relatively comp...

Rajeev Alur, Swarat Chaudhuri

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