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arXiv · 1106.5693

Topological completeness of the provability logic GLP

Lev D. Beklemishev·David Gabelaia
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Abstract

Provability logic GLP is well-known to be incomplete w.r.t. Kripke semantics. A natural topological semantics of GLP interprets modalities as derivative operators of a polytopological space. Such spaces satisfying all the axioms of GLP are called GLP-spaces. We develop some constructions to build nontrivial GLP-spaces and show that GLP is complete w.r.t. the class of all GLP-spaces.

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BibTeXRIS

Lev D. Beklemishev, David Gabelaia. 2011-06-28. Topological completeness of the provability logic GLP. https://doi.org/10.1016/j.apal.2013.07.006

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