Disjunction of Regular Timing Diagrams

Feng, Yu

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Disjunction of Regular Timing Diagrams

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Timing diagrams are used in industrial practice as a specification language of circuit components. They have been formalized for efficient use in model checking. This formalization is often more succinct and convenient than the use of temporal logic. We explore the relationship between timing diagrams and temporal logic formulas by showing that closure under disjunction does not hold for timing diagrams. We give an algorithm that returns a disjunction (if any) of two given timing diagrams. We also give algorithms that decide satisfiability of a timing diagram and return exact time separations between events in a timing diagram. An Alloy specification for timing diagrams with one waveform has also been built.

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