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Document Details : Title: Natural Deduction Systems for E Author(s): STANDEFER, Shawn , BRADY, Ross T. Journal: Logique et Analyse Volume: 242 Date: 2018 Pages: 163-182 DOI: 10.2143/LEA.242.0.3284749 Abstract : Anderson and Belnap [1975] presented a Fitch natural deduction system, FE, for their logic E of entailment as well as Fitch systems for the relevant logics T and R. The system FE is obtained from the system for R through a restriction on the rule of reiteration. Brady [1984] presents Fitch systems for a range of relevant logics, none of which uses a restriction on the rule of reiteration. However, no Fitch system for E was presented. We fill this lacuna by providing two Fitch systems for E, neither of which uses a restriction on the rule of reiteration. We close by discussing their differences and possible connections to other extant systems for E. |
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