Alternating-time Temporal Logic

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Alternating-time Temporal Logic (1997)

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by Rajeev Alur , Thomas Henzinger , Orna Kupferman

Venue:	Journal of the ACM
Citations:	605 - 53 self

BibTeX

@INPROCEEDINGS{Alur97alternating-timetemporal,
    author = {Rajeev Alur and Thomas Henzinger and Orna Kupferman},
    title = {Alternating-time Temporal Logic},
    booktitle = {Journal of the ACM},
    year = {1997},
    pages = {100--109},
    publisher = {IEEE Computer Society Press}
}

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Abstract

Temporal logic comes in two varieties: linear-time temporal logic assumes implicit universal quantification over all paths that are generated by system moves; branching-time temporal logic allows explicit existential and universal quantification over all paths. We introduce a third, more general variety of temporal logic: alternating-time temporal logic offers selective quantification over those paths that are possible outcomes of games, such as the game in which the system and the environment alternate moves. While linear-time and branching-time logics are natural specification languages for closed systems, alternating-time logics are natural specification languages for open systems. For example, by preceding the temporal operator "eventually" with a selective path quantifier, we can specify that in the game between the system and the environment, the system has a strategy to reach a certain state. Also the problems of receptiveness, realizability, and controllability can be formulated as model-checking problems for alternating-time formulas.

Keyphrases

alternating-time temporal logic temporal logic natural specification language certain state closed system possible outcome environment alternate move alternating-time logic open system branching-time temporal logic model-checking problem implicit universal quantification alternating-time formula selective path quantifier temporal operator system move general variety branching-time logic universal quantification linear-time temporal logic

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