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Circular Proofs for Gödel-Löb Logic

Published 16 Jan 2014 in math.LO and cs.LO | (1401.4002v1)

Abstract: We present a sequent-style proof system for provability logic GL that admits so-called circular proofs. For these proofs, the graph underlying a proof is not a finite tree but is allowed to contain cycles. As an application, we establish Lindon interpolation for GL syntactically.

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