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      Uniqueness of axiomatic extensions of cut-free classical propositional logic

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      Logic Journal of IGPL

      Oxford University Press (OUP)

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          Most cited references 11

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          Structural Proof Theory

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            Cut Elimination in the Presence of Axioms

            A way is found to add axioms to sequent calculi that maintains the eliminability of cut, through the representation of axioms as rules of inference of a suitable form. By this method, the structural analysis of proofs is extended from pure logic to free-variable theories, covering all classical theories, and a wide class of constructive theories. All results are proved for systems in which also the rules of weakening and contraction can be eliminated. Applications include a system of predicate logic with equality in which also cuts on the equality axioms are eliminated.
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              Unifying logics via context-sensitiveness

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                Author and article information

                Journal
                Logic Journal of IGPL
                Logic Jnl IGPL
                Oxford University Press (OUP)
                1367-0751
                1368-9894
                September 15 2016
                October 2016
                October 2016
                June 19 2016
                : 24
                : 5
                : 708-718
                Article
                10.1093/jigpal/jzw032
                © 2016

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