Call-by-Value Separability and Computability

  • Luca Paolini
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2202)

Abstract

The aim of this paper is to study the notion of separability in the call-by-value setting.

Separability is the key notion used in the Böhm Theorem, proving that syntactically different βη-normal forms are separable in the classical λ-calculus endowed with β-reduction, i.e. in the call-by-name setting.

In the case of call-by-value λ-calculus endowed with β v-reduction and η v-reduction (see Plotkin [7]), it turns out that two syntactically different βη v-normal forms are separable too, while the notion of β v-normal form and βη v-normal form is semantically meaningful.

An explicit representation of Kleene’s recursive functions is presented. The separability result guarantees that the representation makes sense in every consistent theory of call-by-value, i.e. theories in which not all terms are equals.

Keywords

Free Variable Transitive Closure Recursive Function Congruence Relation Separability Algorithm 
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

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Luca Paolini
    • 1
    • 2
  1. 1.DISI - Università di GenovaGenovaItalia
  2. 2.IML - Université de la MéditerranéeMARSEILLE Cedex 9France

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