Voir la notice de l'article provenant de la source Math-Net.Ru
@article{AL_2006_45_4_a2, author = {S. P. Odintsov}, title = {Transfer {Theorems} for {Extensions} of the {Paraconsistent} {Nelson} {Logic}}, journal = {Algebra i logika}, pages = {409--435}, publisher = {mathdoc}, volume = {45}, number = {4}, year = {2006}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/AL_2006_45_4_a2/} }
S. P. Odintsov. Transfer Theorems for Extensions of the Paraconsistent Nelson Logic. Algebra i logika, Tome 45 (2006) no. 4, pp. 409-435. http://geodesic.mathdoc.fr/item/AL_2006_45_4_a2/
[1] D. Nelson, “Constructible falsity”, J. Symb. Log., 14 (1949), 16–26 | DOI | MR | Zbl
[2] R. Thomason, “A semantical study of constructive falsity”, Z. Math. Logik Grundl. Math., 15 (1969), 247–257 | DOI | MR | Zbl
[3] R. Routley, “Semantical analyses of propositional systems of Fitch and Nelson”, Stud. Log., 33 (1974), 283–298 | DOI | MR | Zbl
[4] H. Rasiowa, “$N$-lattices and constructive logic with strong negation”, Fundam. Math., 46 (1958), 61–80 | MR | Zbl
[5] D. Vakarelov, “Notes on $N$-lattices and constructive logic with strong negation”, Stud. Log., 36 (1977), 109–125 | DOI | MR | Zbl
[6] M. M. Fidel, “An algebraic study of a propositional system of Nelson”, Mathematical Logic, Proc. (First Brasilian Conf., Campinas 1977), Lect. Notes Pure Appl. Math., 39, North-Holland, Amsterdam, 1978, 99–117 | MR
[7] V. Goranko, “The Craig interpolation theorem for propositional logics with strong negation”, Stud. Log., 44 (1985), 291–317 | DOI | MR | Zbl
[8] A. Sendlewski, “Some investigations of varieties of $N$-lattices”, Stud. Log., 43 (1984), 257–280 | DOI | MR | Zbl
[9] A. Sendlewski, “Nelson algebras through Heyting ones”, Stud. Log., 49:1 (1990), 105–126 | DOI | MR | Zbl
[10] A. Sendlewski, “Axiomatic extensions of the constructive logic with strong negation and disjunction property”, Stud. Log., 55:3 (1995), 377–388 | DOI | MR | Zbl
[11] M. Kracht, “On extensions of intermediate logics by strong negation”, J. Philos. Log., 27:1 (1998), 49–73 | DOI | MR | Zbl
[12] A. Almukdad, D. Nelson, “Constructible falsity and inexact predicates”, J. Symb. Log., 49 (1984), 231–233 | DOI | MR | Zbl
[13] J. Jaspers, Calculi for Constructive Communication, ILLC Dissertation Series, 1994-4, ILLC, 1994
[14] G. Wagner, Vivid logic. Knowledge-based reasoning with two kinds of negation, Lect. Notes Art. Intell., 764, Springer-Verlag, Berlin, 1994 | MR | Zbl
[15] H. Wansing, The logic of information structures, Lect. Notes Art. Intell., 683, Springer-Verlag, Berlin, 1993 | MR
[16] H. Wansing, “Semantics-based nonmonotonic inference”, Notre Dame J. Formal Logic, 36:1 (1995), 44–54 | DOI | MR | Zbl
[17] H. Wansing, “Negation”, The Blackwell guide to philosophical logic, ed. L.Goble (ed.), Basil Blackwell Publ., Cambridge, 2001, 415–436 | MR
[18] S. P. Odintsov, “Algebraic semantics for paraconsistent Nelson's logic”, J. Log. Comput., 13:4 (2003), 453–468 | DOI | MR | Zbl
[19] S. P. Odintsov, “On representation of $N4$-lattices”, Stud. Log., 76:3 (2004), 385–405 | DOI | MR | Zbl
[20] S. P. Odintsov, “The class of extensions of Nelson paraconsistent logic”, Stud. Log., 80:2 (2005), 291–320 | DOI | MR | Zbl
[21] S. P. Odintsov, D. Pearce, “Routley semantics for answer sets C”, Logic programming and nonmonotonic reasoning, Proc. (8th Int. Conf., Diamante, Italy, September 5-8, 2005), Lect. Notes Comput. Sci., 3662, ed. Ch. Baral, G. Greco, N. Leone (eds.), Springer-Verlag, Berlin, 2005, 343–355 | MR | Zbl
[22] H. Rasiowa, An algebraic approach to non-classical logics, North-Holland, Amsterdam, 1974 | MR | Zbl
[23] S. Burris, H. P. Sankappanavar, A course in universal algebra, Springer-Verlag, New York, 1981 | MR
[24] W. Rautenberg, Klassische und nichtclassische Aussagenlogik, Vieweg, Braunschweig, 1979 | MR | Zbl
[25] L. L. Maksimova, “Predtablichnye superintuitsonistskie logiki”, Algebra i logika, 11:5 (1972), 552–570 | MR
[26] L. L. Maksimova, “Teorema Kreiga v superintutsionistskikh logikakh i amalgamiruemye mnogoobraziya psevdobulevykh algebr”, Algebra i logika, 16:6 (1977), 643–681 | MR | Zbl