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arXiv · 1401.4002

Circular Proofs for G\"odel-L\"ob Logic

Daniyar Shamkanov
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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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Daniyar Shamkanov. 2014-01-16. Circular Proofs for G\"odel-L\"ob Logic. https://doi.org/10.1134/s0001434614090326

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