Reasoning in Interval Temporal Logic,
STANFORD UNIV CA DEPT OF COMPUTER SCIENCE
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Predicate logis is a powerful and general descriptive formalism with a long history of development. However, since the logics underlying semantics have no notion of time, statements such as I increases by 2 cannot be directly expressed. The authors discuss interval temporal logic ITL, a formalism that augments standard predicate logic with operators for time-dependent concepts. Their earlier work used ITL to specify and reason about hardware. In this paper they show how ITL can also directly capture various control structures found in conventional programming languages. Constructs are given for treating assignment, iteration, sequential and parallel computations and scoping. The techniques used permit specification and reasoning about such algorithms as concurrent Quicksort. ITL is compared with the logic-based programming languages Lucid and Prolog.
- Computer Programming and Software