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  1. Generalisation of Proof Simulation Procedures for Frege Systems by M.L. Bonet and S.R. Buss.Daniil Kozhemiachenko - 2018 - Journal of Applied Non-Classical Logics 28 (4):389-413.
    ABSTRACTIn this paper, we present a generalisation of proof simulation procedures for Frege systems by Bonet and Buss to some logics for which the deduction theorem does not hold. In particular, we study the case of finite-valued Łukasiewicz logics. To this end, we provide proof systems and which augment Avron's Frege system HŁuk with nested and general versions of the disjunction elimination rule, respectively. For these systems, we provide upper bounds on speed-ups w.r.t. both the number of steps in proofs (...)
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