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  1. Axiomatisation and decidability off andp in cyclical time.Mark Reynolds - 1994 - Journal of Philosophical Logic 23 (2):197 - 224.
    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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