Model theory for tense logic: Saturated and special models with applications to the tense hierarchy |
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Authors: | Hirokazu Nishimura |
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Affiliation: | (1) Research Institute for Mathematical Sciences, Kyoto University, T606 Kyoto, Japan |
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Abstract: | The aims of this paper are: (1) to present tense-logical versions of such classical notions as saturated and special models; (2) to establish several fundamental existence theorems about these notions; (3) to apply these powerful techniques to tense complexity.In this paper we are concerned exclusively with quantifiedK1 (for linear time) with constant domain. Our present research owes much to Bowen [2], Fine [5] and Gabbay [6]. |
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