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Logics without Craig’s interpolation property. (English) Zbl 0399.03048


MSC:

03F55 Intuitionistic mathematics
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[1] D. M. Gabbay: Semantic proof of the Craig interpolation theorem for in-tuitionistic logic and extensions, Part I, II. Logic Colloquium ’69 (edited by Gandy and Yates), North-Holland Publ. Co., 391-410 (1971). · Zbl 0234.02017
[2] T. Hosoi: On intermediate logics. III. J. Tsuda College, 6, 23-38 (1974).
[3] I. Nishimura: On formulas of one variable in intuitionistic propositional calculus. J. Symbolic Logic, 25, 327-331 (1960). JSTOR: · Zbl 0108.00302 · doi:10.2307/2963526
[4] H. Ono: A study of intermediate predicate logics. Publ. RIMS, Kyoto Univ., 8, 619-649 (1973). · Zbl 0281.02033 · doi:10.2977/prims/1195192964
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