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Semantic and Syntactic Approaches to Simulation Relations

  • Jo Hannay
  • Shin-ya Katsumata
  • Donald Sannella
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2747)

Abstract

Simulation relations are tools for establishing the correctness of data refinement steps. In the simply-typed lambda calculus, logical relations are the standard choice for simulation relations, but they suffer from certain shortcomings; these are resolved by use of the weaker notion of pre-logical relations instead. Developed from a syntactic setting, abstraction barrier-observing simulation relations serve the same purpose, and also handle polymorphic operations. Meanwhile, second-order pre-logical relations directly generalise pre-logical relations to polymorphic lambda calculus (System F). We compile the main refinement-pertinent results of these various notions of simulation relation, and try to raise some issues for aiding their comparison and reconciliation.

Keywords

Logical Relation Simulation Relation Basic Lemma Lambda Calculus Syntactic Approach 
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 2003

Authors and Affiliations

  • Jo Hannay
    • 1
  • Shin-ya Katsumata
    • 2
  • Donald Sannella
    • 2
  1. 1.Department of Software EngineeringSimula Research Laboratory 
  2. 2.Laboratory for Foundations of Computer ScienceUniversity of Edinburgh 

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