Skip to main content
Log in

On modal logic with an intuitionistic base

  • Published:
Studia Logica Aims and scope Submit manuscript


A definition of the concept of “Intuitionist Modal Analogue” is presented and motivated through the existence of a theorem preserving translation fromMIPC (see [2]) to a bimodalS 4–S5 calculus.

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.

Similar content being viewed by others


  1. R. A. Bull,A modal extension of intuitionistic logic,Notre Dame Journal of Formal Logic, Vol. 6, No. 2 (1965), pp. 142–146.

    Google Scholar 

  2. —,MIPC as the formalization of an intuitionist concept of modality,Journal of Symbolic Logic, Vol. 31, No. 4 (1966), pp. 609–616.

    Google Scholar 

  3. R. A. Bull,Some modal calculi based on IC, inFormal systems and recursice functions (eds,J. N. Crossley andA. E. Dummet), North-Holland, 1966.

  4. G. Fischer Servi,Un'algebraizzazione del calcolo intuizionista monadico, to appear inMatematiche (Catania).

  5. M. Fitting,Logics with several modal operators,Theoria 35 (1969), pp. 259–266.

    Google Scholar 

  6. P. R. Halmos,Algebraic logic. New York, 1962.

  7. E. J. Lemmon,Algebraic semantics for modal logics I,Journal of Symbolic Logic, Vol. 31, No. 1 (1966), pp. 46–65.

    Google Scholar 

  8. —,Algebraic semantics for modal logics II,Journal of Symbolic Logic, Vol. 31, No. 2 (1966), pp. 191–218.

    Google Scholar 

  9. H. Rasiowa andR. Sikorski,The mathematics of metamathematics, PWN, Warsaw, 1963.

    Google Scholar 

Download references


Additional information

Allatum est die 9 Septembris 1975

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fischer Servi, G. On modal logic with an intuitionistic base. Stud Logica 36, 141–149 (1977).

Download citation

  • Issue Date:

  • DOI: