Abstract
The Gödel-Löb provability logic GL is strongly neighbourhood complete in the case of the so-called local semantic consequence relation. In the given paper, we consider Hilbert-style non-well-founded derivations in GL and establish that GL with the obtained derivability relation is strongly neighbourhood complete in the case of the global semantic consequence relation.
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CITATION STYLE
Shamkanov, D. (2017). Global neighbourhood completeness of the gödel-löb provability logic. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 10388 LNCS, pp. 358–370). Springer Verlag. https://doi.org/10.1007/978-3-662-55386-2_26
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