Abstract
We give sound and complete, cut-free Gentzen-Systems for linear and branching temporal logic with {o, unless} and for linear and branching regular logic. This is the first time that branching time logics with regular operators are investigated.
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Paech, B. (1989). Gentzen-Systems for propositional temporal logics. In: Börger, E., Büning, H.K., Richter, M.M. (eds) CSL '88. CSL 1988. Lecture Notes in Computer Science, vol 385. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0026305
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DOI: https://doi.org/10.1007/BFb0026305
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