Linear Logic, Comonads And Optimal Reductions

  • Authors:
  • Andrea Asperti

  • Affiliations:
  • (Partially supported by the ESPRIT Basic Research Project 6454 - CONFER) Dipartimento di Matematica, Universitá di Bologna, P.za di Porta S. Donato, 40126 Bologna, Italy, asperti@cs.unibo.it

  • Venue:
  • Fundamenta Informaticae
  • Year:
  • 1995

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Abstract

The paper discusses, in a categorical perspective, some recent works on optimal graph reduction techniques for the λ-calculus. In particular, we relate the two “brackets” in [GAL92a] to the two operations associated with the comonad “!” of Linear Logic. The rewriting rules can be then understood as a “local implementation” of naturality laws, that is as the broadcasting of some information from the output to the inputs of a term, following its connected structure.