Axiomatisation and decidability off andp in cyclical time

Journal of Philosophical Logic 23 (2):197 - 224 (1994)
We present a Hilbert style axiomatisation for the set of formulas in the temporal language with F and P which are valid over non-transitive cyclical flows of time. We also give a simpler axiomatisation using the slightly controversial 'irreflexivity rule' and go on to prove the decidability of any temporal logic over cyclical time provided it uses only connectives with first-order tables
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DOI 10.1007/BF01050343
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References found in this work BETA
Time and Modality.A. N. Prior - 1955 - Greenwood Press.
The Structure of Time.W. Newton-Smith - 1980 - Routledge & Kegan Paul.

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Explanation and Nowness: An Objection to the A-Theory.Leo Carton Mollica - 2015 - Philosophical Studies 172 (9):2513-2530.
Tense Logic.Ulrich Meyer - 2015 - Philosophy Compass 10 (6):406-419.

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