Abstract
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.
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Original Russian Text © D. S. Shamkanov, 2014, published in Matematicheskie Zametki, 2014, Vol. 96, No. 4, pp. 609–622.
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Shamkanov, D.S. Circular proofs for the Gödel-Löb provability logic. Math Notes 96, 575–585 (2014). https://doi.org/10.1134/S0001434614090326
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DOI: https://doi.org/10.1134/S0001434614090326