Log in

On logical systems with implications and theories of algebras

  • Published:
Studia Logica Aims and scope Submit manuscript

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

Access this article

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

Instant access to the full article PDF.

Bibliography

  1. G. Birkhoff,Lattice theory, New York 1948.

  2. G. Birkhoff, J. v. Neumann,The logic of quantum mechanics. Ann. of Math., 37, 1936, 823–843.

    MathSciNet  Google Scholar 

  3. H. B. Curry,Foundations of mathematical logic. New York, San Francisco, Toronto, London 1963.

  4. A. Horn,The separation theorem of intuitionistic propositional calculus. Journal Symb. Logic, 27, 1962, 391–399.

    Google Scholar 

  5. S. Jaśkowski,Rachunek zdań dla systemów dedukcyjnych sprzecznych. Studia Soc. Scient. Torunesis, sec. A, 1, 1948, 57–77.

    Google Scholar 

  6. S. Jaśkowski,Sur les variables propositionnelles dépendantes. Studia Soc. Scient. Torunensis, sec. A, 1, 1948, 17–21.

    Google Scholar 

  7. J. Kotas,An axiom system for the modular logic. Studia Logica, 21, 1967, 17–38.

    Google Scholar 

  8. J. Kotas,Logical systems with implications. Studia Logica, 28, 1971, 101–117.

    Google Scholar 

  9. J. Kotas,About the equivalent theories of algebras with relations. Studia Logica, 30, 1972, 81–98.

    Google Scholar 

  10. J. Kotas, A. Pieczkowski,On a generalized cylindrical algebra and intuitionistic logic. Studia Logica, 18, 1966, 73–81.

    Google Scholar 

  11. J. Kotas, A. Pieczkowski,A cylindrical algebra based on the Boolean ring. Studia Logica, 21, 1967, 71–80.

    Google Scholar 

  12. J. Kotas, A. Pieczkowski, Allgemeine logische und mathematische Theorien. Zeit. Math. Logik Grundlagen Math. 16, 1970, 353–376.

    Google Scholar 

  13. C. I. Lewis, C. H. Langford,Symbolic logic. New York 1932.

  14. J. Łukasiewicz,Die Logik und das Grundlagenproblem. Les Entretiens de Zurich sur les fondements et la méthode des sciences mathématiques, 1941, 82–100.

  15. A. A. Monteiro,Axiomes independants pour les algébres de Brouwer. Rev. Un. Mat. Argentina, 17, 1955, 149–160.

    Google Scholar 

  16. J. E. Rubin,Remarks about a closure algebra in which closed elements are open. Proc. Amer. Math. Soc., 7, 1956, 30–34.

    Google Scholar 

  17. H. Rasiowa, R. Sikorski.The mathematics of metamathematics. Warszawa 1963.

  18. B. Sobociński,Aksjomatyzacja implikacyjno-koniunkcyjnej teorii dedukcji. Przegląd Filozoficzny, 38, 1935, 85–95.

    Google Scholar 

  19. K. Schütte,Über einen Teilbereich des Aussagenkalküls. Odbitka ze Sprawozdań z posiedzeń Towarzystwa Naukowego Warszawskiego, 26, 1933, 30–32.

    Google Scholar 

  20. A. Tarski, L. Henkin,Cylindric algebras. Proc. of Symposia in Pure Math., 1961, Lattice theory, 83–113.

  21. M. Wajsberg,Metalogische Beiträge II. Wiadomości Matematyczne, 47, 1939, 119–139.

    Google Scholar 

  22. M. Wajsberg,Untersuchungen über den Aussagenkalkül von A. Heyting. Wiadomości Matematyczne, 46, 1938, 45–101.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Allatum est die 5 Julii 1971

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kotas, J. On logical systems with implications and theories of algebras. Stud Logica 31, 49–70 (1973). https://doi.org/10.1007/BF02120528

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02120528

Keywords

Navigation