Expressive completeness failure in branching time structures (Q1109759)

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scientific article; zbMATH DE number 4070862
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Expressive completeness failure in branching time structures
scientific article; zbMATH DE number 4070862

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    Expressive completeness failure in branching time structures (English)
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    1987
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    As for the expressive completeness problem (or equivalently, functional completeness problem) of tense logics, all the logics over linear time and some over non-linear time structures have already been shown affirmatively by the author and others. Gabbay, on the other hand, has proved that the general time structure is not expressively complete. In this paper, the author extends the negative case by proving that an infinite tree with an unbounded branching factor is not expressively complete.
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    tense logic
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    branching time
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    expressive completeness
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    functional completeness
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