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Article

Circular proofs for the Gödel–Löb provability logic

Mathematical notes. 2014. Vol. 96. No. 4. P. 575-585.

Sequent calculus for the provability logic GL is considered, in which provability is based on the notion of a circular proof. Unlike ordinary derivations, circular proofs are represented by graphs allowed to contain cycles, rather than by finite trees. Using this notion, we obtain a syntactic proof of the Lyndon interpolation property for GL.