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A Tableau for Temporal Logic over the Reals

In Rajeev Goré, Barteld Kooi & Agi Kurucz (eds.), Advances in Modal Logic, Volume 10. CSLI Publications. pp. 439-458 (2014)

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  1. The complexity of temporal logic over the reals.Mark Reynolds - 2010 - Annals of Pure and Applied Logic 161 (8):1063-1096.
    It is shown that the decision problem for the temporal logic with until and since connectives over real-numbers time is PSPACE-complete. This is the most practically useful dense time temporal logic.
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  • An axiomatization for until and since over the reals without the IRR rule.Mark Reynolds - 1992 - Studia Logica 51 (2):165 - 193.
    We give a Hilbert style axiomatization for the set of formulas in the temporal language with Until and Since which are valid over the real number flow of time. The axiomatization, which is orthodox in the sense of only having the usual temporal rules of inference, is complete with respect to single formulas.
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  • The decision problem for linear temporal logic.John P. Burgess & Yuri Gurevich - 1985 - Notre Dame Journal of Formal Logic 26 (2):115-128.
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  • Tense Logic and the Theory of Linear Order.Hans Kamp - 1968 - Dissertation, Ucla
     
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