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Content available remote From Constructivism to Logic Programming : an Homage to Mario Ornaghi
EN
In this brief note, we outline Mario Ornaghi’s contributions to the field of computational logic to celebrate his 70th birthday.
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Content available remote A Semantical Analysis of Focusing and Contraction in Intuitionistic Logic
EN
Focusing is a proof-theoretic device to structure proof search in the sequent calculus: it provides a normal form to cut-free proofs in which the application of invertible and non-invertible inference rules is structured in two separate and disjoint phases. Although stemming from proofsearch considerations, focusing has not been thoroughly investigated in actual theorem proving, in particular w.r.t. termination. We present a contraction-free (and hence terminating) focused multisuccedent sequent calculus for propositional intuitionistic logic, which refines the G4ip calculus in the tradition of Vorob’ev, Hudelmeier and Dyckhoff. We prove completeness of the calculus semantically and argue that this offers a viable alternative to other more syntactical means.
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