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  1. Rasiowa–Sikorski Deduction Systems with the Rule of Cut: A Case Study.Dorota Leszczyńska-Jasion, Mateusz Ignaszak & Szymon Chlebowski - 2019 - Studia Logica 107 (2):313-349.
    This paper presents Rasiowa–Sikorski deduction systems for logics \, \, \ and \. For each of the logics two systems are developed: an R–S system that can be supplemented with admissible cut rule, and a \-version of R–S system in which the non-admissible rule of cut is the only branching rule. The systems are presented in a Smullyan-like uniform notation, extended and adjusted to the aims of this paper. Completeness is proved by the use of abstract refutability properties which are (...)
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