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Lambda substitution algebras

  • Zinovy Diskin
  • Ilya Beylin
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 711)

Abstract

In the paper an algebraic metatheory of type-free λ-calculus is developed. Our version is based on lambda substitution algebras (λSAs), which are just SAs introduced by Feldman (for algebraizing equational logic) enriched with a countable family of unary operations of λ-abstraction and a binary operation of application. Two representation theorems, syntactical and semantic, are proved, what directly provides completeness theorems.

Keywords

Environment Model Unary Operation Countable Family Completeness Theorem Algebraic Logic 
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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References

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Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Zinovy Diskin
    • 1
  • Ilya Beylin
    • 2
  1. 1.Frame Inform SystemsRigaLatvia
  2. 2.University of LatviaRigaLatvia

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