Skip to main content
Log in

Algebraic Counterparts for Some Properties of Superintuitionistic Predicate Logics

  • Published:
Algebra and Logic Aims and scope

Abstract

Algebraic counterparts are found for the Beth, projective Beth, interpolation, disjunction, and existential properties of superintuitionistic first-order logics.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

REFERENCES

  1. D. E. Tishkovskii, “Algebraic semantics for superintuitionistic predicate logics,” Algebra Logika, 38, No. 1, 68-95 (1999).

    Google Scholar 

  2. Yu. L. Ershov and E. A. Palyutin, Mathematical Logic [in Russian], Nauka, Moscow (1979).

    Google Scholar 

  3. H. Rasiowa and R. Sikorski, The Mathematics of Metamathematics, Monografien Matematyczne, Warsaw (1963).

    Google Scholar 

  4. L. Maksimova, “On maximal intermediate logics with disjunction property,” Stud. Log., 45, No. 1, 69-75 (1986).

    Google Scholar 

  5. A. G. Dragalin, Mathematical Intuitionism. Introduction to Proof Theory [in Russian], Nauka, Moscow (1979).

    Google Scholar 

  6. L. Maksimova, “Explicit and implicit definability in modal and related logics,” Bull. Sect. Log., Univ. Łodź, Dep. Log., 27, Nos. 1/2, 36-39 (1998).

    Google Scholar 

  7. L. L. Maksimova, “Craig's theorem in superintuitionistic logics and amalgamable varieties of pseudo-Boolean algebras,” Algebra Logika, 16, No. 6, 643-681 (1977).

    Google Scholar 

  8. L. L. Maksimova, “Interpolation theorems in modal logics and amalgamable varieties of topoboolean algebras,” Algebra Logika, 18, No. 5, 556-586 (1979).

    Google Scholar 

  9. L. L. Maksimova, “Modal logics and varieties of modal algebras: Beth properties, interpolation, and amalgamation,” Algebra Logika, 31, No. 2, 145-166 (1992).

    Google Scholar 

  10. J. Czelakowski, “Logical matrices and the amalgamation property,” Stud. Log., 41, No. 4, 329-341 (1982).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tishkovskii, D.E. Algebraic Counterparts for Some Properties of Superintuitionistic Predicate Logics. Algebra and Logic 40, 122–134 (2001). https://doi.org/10.1023/A:1010217022641

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1010217022641

Keywords

Navigation