Journal of Philosophical Logic 26 (3):241-250 (1997)

Abstract
T × W logic is a combination of tense and modal logic for worlds or histories with the same time order. It is the basis for logics of causation, agency and conditionals, and therefore an important tool for philosophical logic. Semantically it has been defined, among others, by R. H. Thomason. Using an operator expressing truth in all worlds, first discussed by C. M. Di Maio and A. Zanardo, an axiomatization is given and its completeness proved via D. Gabbay’s irreflexivity lemma. Given this lemma the proof is more or less straight forward. At the end an alternative axiomatization is sketched in which Di Maio’s and Zanardo’s operator is replaced by a version of “actually”
Keywords Philosophy
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DOI 10.1023/A:1017942520078
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References found in this work BETA

A Finite Axiomatization of the Set of Strongly Valid Ockhamist Formulas.Alberto Zanardo - 1985 - Journal of Philosophical Logic 14 (4):447 - 468.
Causation.Franz Kutschera - 1993 - Journal of Philosophical Logic 22 (6):563-588.

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Citations of this work BETA

Combinations of Tense and Modality for Predicate Logic.Stefan Wölfl - 1999 - Journal of Philosophical Logic 28 (4):371-398.
Temporal Logic and its Application to Normative Reasoning.Emiliano Lorini - 2013 - Journal of Applied Non-Classical Logics 23 (4):372-399.
Temporal Alethic–Deontic Logic and Semantic Tableaux.Daniel Rönnedal - 2012 - Journal of Applied Logic 10 (3):219-237.
Propositional Q-Logic.Stefan Wölfl - 2002 - Journal of Philosophical Logic 31 (5):387-414.
A Gabbay-Rule Free Axiomatization of T X W Validity.Maria Concetta Di Maio & Alberto Zanardo - 1998 - Journal of Philosophical Logic 27 (5):435 - 487.

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