Literature Cited
L. L. Maksimova, "Craig's interpolation theorem and amalgamable varieties," Dokl. Akad. Nauk SSSR,237, No. 6, 1281–1284 (1977).
L. L. Maksimova, "Craig's theorem in superintuitionistic logics and amalgamable varieties of pseudo-Boolean algebras," Algebra Logika,16, No. 6, 643–681 (1977).
L. L. Maksimova, "On a classification of modal logics," Algebra Logika,18, No. 3, 328–340 (1979).
L. L. Maksimova, "Modal logics of finite layers," Algebra Logika,14, No. 3, 304–319 (1975).
L. L. Maksimova, "Pretabular extensions of the Lewis logicS4," Algebra Logika,14, No. 1, 28–55 (1975).
L. L. Maksimova and V. V. Rybakov, "On the lattice of normal modal logics," Algebra Logika,13, No. 2, 188–216 (1974).
E. Rasiowa and R. Sikorski, The Mathematics of Metamathematics, Third Edition, PWN, Warsaw (1970).
W. Craig, "Three uses of Herbrand-Gentzen theorem in relating model theory and proof theory," J. Symbolic Logic,22, 269–285 (1957).
J. Czermak, "Interpolation theorem for modal logics," in: Proceedings of the Logic Colloquium (Bristol, July, 1973), H. E. Rose and J. C. Shepherdson (editors), North-Holland, Amsterdam (1975), pp. 381–393.
D. Gabbay, "Craig's interpolation theorem for modal logics," in: Conference in Mathematical Logic — London'70, W. Hodges (editor), Lecture Notes in Mathematics, Vol. 255, Springer-Verlag, Berlin—New York (1972), pp. 111–127.
B. Jónsson, "Extensions of relational structures," in: The Theory of Models, B. Jónsson (editor), North-Holland, Amsterdam (1965), pp. 146–157.
G. F. Schumm, "Interpolation inS5 and some related systems," Math. Logic,6, 107–110 (1976).
K. Segerberg, An Essay in Classical Modal Logic, Uppsala (1971).
B. Sobocinski, "Certain extensions of modal systemS4," Notre Dame J. Formal Logic,11, No. 3, 347–368 (1970).
Additional information
Translated from Algebra i Logika, Vol. 18, No. 5, pp. 556–586, September–October, 1979.
Rights and permissions
About this article
Cite this article
Maksimova, L.L. Interpolation theorems in modal logics and amalgamable varieties of topological Boolean algebras. Algebra and Logic 18, 348–370 (1979). https://doi.org/10.1007/BF01673502
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01673502