@article{SM_1991_69_1_a14,
author = {V. Yu. Shavrukov},
title = {On two extensions of the logic of {provability~GL}},
journal = {Sbornik. Mathematics},
pages = {255--270},
year = {1991},
volume = {69},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1991_69_1_a14/}
}
V. Yu. Shavrukov. On two extensions of the logic of provability GL. Sbornik. Mathematics, Tome 69 (1991) no. 1, pp. 255-270. http://geodesic.mathdoc.fr/item/SM_1991_69_1_a14/
[1] Segerberg K., An essay in classical modal logic, Filosofiska studier nr. 13, Philos. Soc. and Dept. of Philos., Univ. of Uppsala, Uppsala, 1971 | MR
[2] Solovay R. M., “Provability interpretations of modal logic”, Israel J. Math., 25 (1976), 287–304 | DOI | MR | Zbl
[3] Kuznetsov A. V., Muravitskii A. Yu., “Algebry Magari”, XIV Vsesoyuznaya algebraicheskaya konferentsiya, tez. dokl., 2, IM SO AN SSSR, Novosibirsk, 1977, 105–106
[4] Boolos G., “Provability in arithmetic and a schema of Grzegorczyk”, Fund. Math., 106 (1980), 41–45 | MR | Zbl
[5] Boolos G., “On systems of modal logic with probability interpretations”, Theoria, 46 (1980), 7–18 | MR
[6] Kuznetsov A. V., Muravitskii A. Yu., “Dokazuemost kak modalnost”, Aktualnye voprosy logiki i metodologii nauki, Naukova dumka, Kiev, 1980, 193–230
[7] Visser A., Aspects of diagonalization and provability, Dissertation, Utrecht, 1981
[8] Artëmov S. N., “O modalnykh logikakh, aksiomatiziruyuschikh dokazuemost”, Izv. AN SSSR Ser. matem., 49 (1985), 1123–1154 | MR | Zbl
[9] Chagrov A. V., “Mnogoobraziya logicheskikh matrits”, Algebra i logika, 24:4 (1985), 426–489 | MR | Zbl
[10] Artëmov S. N., “O lokalnoi tablichnosti propozitsionalnykh logik dokazuemosti”, Logicheskie metody postroeniya effektivnykh algoritmov, KGU, Kalinin, 1986, 9–12
[11] Logicheskaya tetrad, IM SO AN SSSR, Novosibirsk, 1986
[12] Artemov S. N., “On logical axiomatization of provability”, VIII ICLMPS, Abstracts, 1, IF AN SSSR, M., 1987, 7–10
[13] Kuznetsov A. V., Muravitskii A. Yu., “O superintuitsionistskikh logikakh kak fragmentakh rasshirenii logiki dokazuemosti”, Neklassicheskie logiki, Shtiintsa, Kishinev, 1987, 15–39 | MR
[14] Maksimova L. L., “Ob interpolyatsii v normalnykh modalnykh logikakh”, Neklassicheskie logiki, Shtiintsa, Kishinev, 1987, 40–56
[15] Artëmov S. N., Voprosy aksiomatiziruemosti i polnoty modalnykh logik dokazuemosti, Dis. ... dokt. fiz.-matem. nauk, MIAN SSSR, M., 1988, 158 pp.