Mots-clés : justification logic
@article{SM_2016_207_9_a7,
author = {D. S. Shamkanov},
title = {A~realization theorem for the {G\"odel-L\"ob} provability logic},
journal = {Sbornik. Mathematics},
pages = {1344--1360},
year = {2016},
volume = {207},
number = {9},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2016_207_9_a7/}
}
D. S. Shamkanov. A realization theorem for the Gödel-Löb provability logic. Sbornik. Mathematics, Tome 207 (2016) no. 9, pp. 1344-1360. http://geodesic.mathdoc.fr/item/SM_2016_207_9_a7/
[1] S. N. Artemov, “Explicit provability and constructive semantics”, Bull. Symbolic Logic, 7:1 (2001), 1–36 | DOI | MR | Zbl
[2] M. Ghari, Aspects of the joint logic of proofs and provability, PhD thesis, Isfahan Univ. of Technology, 2012 (in Persian)
[3] G. Sambin, S. Valentini, “A modal sequent calculus for a fragment of arithmetic”, Studia Logica, 39:2-3 (1980), 245–256 | DOI | MR | Zbl
[4] G. Sambin, S. Valentini, “The modal logic of provability. The sequential approach”, J. Philos. Logic, 11:3 (1982), 311–342 | DOI | MR | Zbl
[5] D. Leivant, “On the proof theory of the modal logic for arithmetic provability”, J. Symbolic Logic, 46:3 (1981), 531–538 | DOI | MR | Zbl
[6] M. Ghari, “Explicit Gödel–Löb provability logic”, Proceedings of the 42nd Annual Iranian Mathematics Conference (Rafsanjan, Iran), Vali-e-Asr Univ., 2011, 911–914
[7] R. Kuznets, Complexity issues in justification logic, PhD thesis, City Univ. of New York, New York, 2008, 336 pp. | MR
[8] D. S. Shamkanov, “Circular proofs for the Gödel–Löb provability logic”, Math. Notes, 96:4 (2014), 575–585 | DOI | DOI | MR | Zbl
[9] M. Fitting, “Realizations and LP”, Ann. Pure Appl. Logic, 161:3 (2009), 368–387 | DOI | MR | Zbl