Intuitionistic implication in abstract interpretation

  • Roberto Giacobazzi
  • Francesca Scozzari
Program Analysis
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1292)


In this paper we introduce the notion of Heyting completion in abstract interpretation, and we prove that it supplies a logical basis to specify relational program analyses by means of intuitionistic implication. This provides a uniform algebraic setting where abstract domains can be specified by simple logic formulas, or as solutions of recursive abstract domain equations, involving few basic operations for domain construction. We apply our framework to study directionality in type inference and groundness analysis in logic programming.


Abstract interpretation directional types domains intuitionistic logic logic programming static analysis 


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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Roberto Giacobazzi
    • 1
  • Francesca Scozzari
    • 1
  1. 1.Dipartimento di InformaticaUniversità di PisaPisaItaly

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