On Finite Domains Based Slices in the Structure of Superintuitionistic Predicate Logics, Preview

Author:

Skvortsov Dmitrij

Abstract

The article presents a series of closely related papers that together make up a single piece of work,  devoted to the description of a hierarchy of slices in the structure of superintuitionistic predicate logics  and making probably the first attempt to transfer to the predicate case Hosoi's hierarchy of (finite) slices for the structure of superintuitionistic propositional logics.

Publisher

Institute of Philosophy, Russian Academy of Sciences

Subject

Logic,Philosophy

Reference12 articles.

1. Gabbay, 1972 – Gabbay, D.M. “Application of trees to intermediate logics”, Journal of Symbolic Logic, 1972, Vol. 37, pp. 135–138.

2. Gabbay et al., 2009 – Gabbay, D., Shehtman, V., Skvortsov, D. “Quantification in Nonclassical Logic”, Vol. 1, Studies in Logic and the Foundations of Mathematics, Vol. 153. Amsterdam: Elsevier Science Publisher, 2009. Sections 1.13, 1.15, 2.6.

3. Galatos et al., 2007 – Galatos, N., Jipsen, P., Kowalski, T., Ono, H. “Residuated Lattices: An Algebraic Glimpse at Substructural Logics”, Studies in Logic and the Foundations of Mathematics, Vol. 151. Amsterdam: Elsevier Science Publisher, 2007.

4. Gödel, 1933 – Gödel, K. “ Über Unabhängigkeitsbeweise im Aussagenkalkül”, Ergebnisse eines mathematischen Kolloquiums, 1933, Vol. 4, pp. 9–10.

5. Hosoi, 1967 – Hosoi, T. “On intermediate logics, I”, Journal of the Faculty of Science of the University of Tokyo, Sect. I, 1967, Vol. 14, No. 2, pp. 293–312.

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