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A proof-theoretic study of bi-intuitionistic propositional sequent calculus
2018
Journal of Logic and Computation
Bi-intuitionistic logic is the conservative extension of intuitionistic logic with a connective dual to implication usually called "exclusion". A standard-style sequent calculus for this logic is easily obtained by extending multiple-conclusion sequent calculus for intuitionistic logic with exclusion rules dual to the implication rules (in particular, the exclusion-left rule restricts the premise to be single-assumption). However, similarly to standard-style sequent calculus for non-classical
doi:10.1093/logcom/exx044
fatcat:4msinmct6bhvhaqhbobujv6cqy