Skip to main content
SpringerLink
Log in

On structural completeness of many-valued logics

  • Published:
Studia Logica Aims and scope Submit manuscript

Abstract

In the paper some consequence operations generated by Łukasiewicz's matrices are examined.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. J. Łoś, R. Suszko,Remarks on sentential logics,Indagationes Mathematicae, Vol. 20 (1958), pp. 177–183.

    Google Scholar 

  2. D. Makinson,A characterization of structural completeness of a structural consequence operation,Reports on Mathematical Logic No. 6 (1976), pp. 99–102.

    Google Scholar 

  3. R. McNaughton,A theorem about infinite-valued sentential logics,Journal of Symbolic Logic Vol. 16 (1951), pp. 1–13.

    Google Scholar 

  4. W. A. Pogorzelski,Structural completeness of the propositional calculus,Bulletin de l'Académie Polonaise des Sciences, Série des sciences mathématiques, astronomiques et physiques, Vol. 19, No. 5 (1971), pp. 349–351.

    Google Scholar 

  5. W. A. Pogorzelski andT. Prucnal,Some remarks on the notion of completeness of the propositional calculus II,Reports on Mathematical Logic No. 1 (1974), pp. 15–20.

    Google Scholar 

  6. A. Rose,Formalisation du calcul propositionael implicatif a m-valeurs de Łukasiewicz,Comptes Rendus Hebdomadaires des Séances de l'Académie des Sciences No. 143 (1956), pp. 1263–1264.

    Google Scholar 

  7. M. Tokarz,On structural completeness of Lukasiewicz logics,Studia Logica Vol. 30 (1972), pp. 53–58.

    Google Scholar 

  8. M. Wajsberg,O aksjomatyzacji trójwartościowego rachunku zdań Łukasiewicza,Comptes Rendus des Séances de la Société des Sciences et des Letters de Varsovie Cl. III, 24 (1931), pp. 126–148.

    Google Scholar 

  9. P. Wojtylak,Some generalizations of Makinson's theorem on structural completeness,Reports on Mathematical Logic No. 7 (1976), pp. 107–110.

    Google Scholar 

  10. R. Wójcicki,The degree of completeness of the finite-valued propositional calculi,Prace z Logiki U. J. 7 (1972), pp. 77–84.

    Google Scholar 

  11. R. Wójcicki,Matrix approach in metodology of sentential calculi,Studia Logica Vol. 33 (1973), pp. 7–39.

    Google Scholar 

  12. R. Wójcicki,On matrix representations of consequence operations of Łukasiewicz sentential calculi,Zeitschrift für Mathematische Logik und Grundlagen der Mathematik, 19 (1973) pp. 239–247.

    Google Scholar 

  13. J. Zygmunt,Direct products of consequence operations,Bulletin of the Section of Logic Polish Academy of Sciences, Vol. 1 No. 4 (1972), pp. 61–64.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics, Silesian University, Katowice

    Piotr Wojtylak

Authors
  1. Piotr Wojtylak
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Allatum est die 6 Maii 1976

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wojtylak, P. On structural completeness of many-valued logics. Stud Logica 37, 139–147 (1978). https://doi.org/10.1007/BF02124799

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02124799

Keywords

Search

Navigation