Logic Journal of the IGPL 19 (1):121-143 (2011)

Abstract
It is known that linear-time temporal logic is a useful logic for verifying and specifying concurrent systems. In this paper, phase semantics for LTL and its substructural refinements is introduced, and the completeness and cut-elimination theorems for LTL and its refinements are proved based on this semantics
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DOI 10.1093/jigpal/jzq023
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