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Edifices and Full Abstraction for the Symmetric Interaction Combinators

  • Damiano Mazza
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4583)

Abstract

The symmetric interaction combinators are a variant of Lafont’s interaction combinators. They are a graph-rewriting model of parallel deterministic computation. We define a notion analogous to that of head normal form in the λ-calculus, and make a semantical study of the corresponding observational equivalence. We associate with each net a compact metric space, called edifice, and prove that two nets are observationally equivalent iff they have the same edifice. Edifices may therefore be compared to Böhm trees in infinite η-normal form, or to Nakajima trees, and give a precise topological account of phenomena like infinite η-expansion.

Keywords

Linear Logic Denotational Semantic Active Pair Binary Word Interaction Combinators 
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 Berlin Heidelberg 2007

Authors and Affiliations

  • Damiano Mazza
    • 1
  1. 1.Laboratoire d’Informatique de Paris Nord 

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