Axioms for Recursion in Call-by-Value

  • Authors:
  • Masahito Hasegawa;Yoshihiko Kakutani

  • Affiliations:
  • Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502, Japan. hassei@kurims.kyoto-u.ac.jp;Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502, Japan. kakutani@kurims.kyoto-u.ac.jp

  • Venue:
  • Higher-Order and Symbolic Computation
  • Year:
  • 2002

Quantified Score

Hi-index 0.00

Visualization

Abstract

We propose an axiomatization of fixpoint operators in typed call-by-value programming languages, and give its justifications in two ways. First, it is shown to be sound and complete for the notion of uniform T-fixpoint operators of Simpson and Plotkin. Second, the axioms precisely account for Filinski's fixpoint operator derived from an iterator (infinite loop constructor) in the presence of first-class continuations, provided that we define the uniformity principle on such an iterator via a notion of effect-freeness (centrality). We then explain how these two results are related in terms of the underlying categorical structures.