Nothing Special   »   [go: up one dir, main page]

Skip to main content
Log in

Brouwer-Zadeh logic, decidability and bimodal systems

  • Published:
Studia Logica Aims and scope Submit manuscript

Abstract

We prove that Brouwer-Zadeh logic has the finite model property and therefore is decidable. Moreover, we present a bimodal system (BKB) which turns out to be characterized by the class of all Brouwer-Zadeh frames. Finally, we show that BrouwerZadeh logic can be translated into BKB.

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

Access this article

Subscribe and save

Springer+ Basic
$34.99 /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

References

  1. G. Cattaneo, G. Nisticó, Brouwer-Zadeh posets and three-valued Łukasiewicz posets, Fuzzy Sets and Systems 33 (1989).

  2. M. L. Dalla Chiara, Quantum logic, in D. Gabbay, F. Guenthner (eds.), Handbook of Philosophical Logic, III, Reidel, Dordrecht, 1986.

    Google Scholar 

  3. R. Gluntini, Brouwer-Zadeh logic and the operational approach to quantum mechanics, Foundations of Physics 20 (1990).

  4. R. Gluntini, A semantical investigation on Brouwer-Zadeh logic, to be published in Journal of Philosophical Logic.

  5. G. E. Hughes and M. J. Cresswell, A Companion to Modal Logic, Methuen, London and New York, 1984.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Giuntini, R. Brouwer-Zadeh logic, decidability and bimodal systems. Studia Logica 51, 97–112 (1992). https://doi.org/10.1007/BF00370333

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00370333

Keywords

Navigation