Undivided and Indistinguishable Histories in Branching-Time Logics |
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Authors: | Alberto Zanardo |
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Affiliation: | (1) Dipartimento di Matematica P. ed A., Università, di Padova, Via Belzoni 7, I-35131 Padova, Italy |
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Abstract: | In the tree-like representation of Time, two histories are undivided at a moment t whenever they share a common moment in the future of t. In the present paper, it will first be proved that Ockhamist and Peircean branching-time logics are unable to express some important sentences in which the notion of undividedness is involved. Then, a new semantics for branching-time logic will be presented. The new semantics is based on trees endowed with an indistinguishability function, a generalization of the notion of undividedness. It will be shown that Ockhamist and Peircean semantics can be viewed as limit cases of the semantics developed in this paper. |
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Keywords: | Temporal logic branching-time semantics |
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