Full Abstraction for Resource Calculus with Tests

@inproceedings{Bucciarelli2011FullAF,
  title={Full Abstraction for Resource Calculus with Tests},
  author={Antonio Bucciarelli and Alberto Carraro and Thomas Ehrhard and Giulio Manzonetto},
  booktitle={CSL},
  year={2011}
}
We study the semantics of a resource sensitive extension of the λ-calculus in a canonical reflexive object of a category of sets and relations, a relational version of the original Scott D∞ model of the pure λcalculus. This calculus is related to Boudol’s resource calculus and is derived from Ehrhard and Regnier’s differential extension of Linear Logic and of the λ-calculus. We extend it with new constructions, to be understood as implementing a very simple exception mechanism, and with a “must… CONTINUE READING
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