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Using mappings to prove timing properties. (English) Zbl 0773.68054
Summary: A new technique for proving time properties for timing-based algorithms is described; it is an extension of the mapping techniques previously used in proofs of safety properties for asynchronous concurrent systems. The key to the method is a way of representing a system with timing constraints as an automaton whose state includes predictive timing information. Timing assumptions and timing requirements for the system are both represented in this way. A multi-valued mapping from the “assumptions automaton” to the “requirements automaton” is then used to show that the given system satisfies the requirements. One type of mapping is based on a collection of “progress functions” providing measures of progress toward timing goals. The technique is illustrated with two examples, a simple resource manager and a two-process race system.

MSC:
68Q60 Specification and verification (program logics, model checking, etc.)
68Q10 Modes of computation (nondeterministic, parallel, interactive, probabilistic, etc.)
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