Axiomatising first-order temporal logic: Until and since over linear time

Studia Logica 57 (2-3):279 - 302 (1996)
We present an axiomatisation for the first-order temporal logic with connectives Until and Since over the class of all linear flows of time. Completeness of the axiom system is proved.We also add a few axioms to find a sound and complete axiomatisation for the first order temporal logic of Until and Since over rational numbers time.
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