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A realization theorem for the Gödel-Löb provability logic. (English. Russian original) Zbl 06678891
Sb. Math. 207, No. 9, 1344-1360 (2016); translation from Mat. Sb. 207, No. 9, 171-190 (2016).
MSC:
03B42 Logics of knowledge and belief (including belief change)
03F07 Structure of proofs
03F45 Provability logics and related algebras (e.g., diagonalizable algebras)
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References:
[1] Artemov S. N. 2001 Explicit provability and constructive semantics Bull. Symbolic Logic7 1-36 · Zbl 0980.03059
[2] Ghari M. 2012 PhD thesis
[3] Sambin G. and Valentini S. 1980 A modal sequent calculus for a fragment of arithmetic Studia Logica39 245-256 · Zbl 0457.03016
[4] Sambin G. and Valentini S. 1982 The modal logic of provability. The sequential approach J. Philos. Logic11 311-342 · Zbl 0523.03014
[5] Leivant D. 1981 On the proof theory of the modal logic for arithmetic provability J. Symbolic Logic46 531-538 · Zbl 0464.03019
[6] Ghari M. 2011 Explicit Gödel-Löb provability logic Proceedings of the 42nd Annual Iranian Mathematics Conference 911-914
[7] Kuznets R. 2008 PhD thesis City Univ. of New York
[8] Shamkanov D. S. 2014 Circular Proofs for the Gödel-Löb Provability Logic Mat. Zametki96 609-622 · Zbl 1329.03092
[9] Fitting M. 2009 Realizations and LP Ann. Pure Appl. Logic161 368-387 · Zbl 1221.03020
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