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Studia Logica

, Volume 55, Issue 1, pp 33–61 | Cite as

Explicit algebraic models for constructive and classical theories with non-standard elements

  • Albert G. Dragalin
Article

Abstract

We describe an explicit construction of algebraic models for theories with non-standard elements either with classical or constructive logic. The corresponding truthvalue algebra in our construction is a complete algebra of subsets of some concrete decidable set. This way we get a quite finitistic notion of true which reflects a notion of the deducibility of a given theory. It enables us to useconstructive, proof-theoretical methods for theories with non-standard elements. It is especially useful in the case of theories with constructive logic where algorithmic properties are essential.

Keywords

Mathematical Logic Classical Theory Computational Linguistic Explicit Construction Algebraic Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Kluwer Academic Publishers 1995

Authors and Affiliations

  • Albert G. Dragalin
    • 1
  1. 1.Institute of Mathematics and InformaticsUniversity of DebrecenDebrecenHungary

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