Travelling on Designs

  • Authors:
  • Claudia Faggian

  • Affiliations:
  • -

  • Venue:
  • CSL '02 Proceedings of the 16th International Workshop and 11th Annual Conference of the EACSL on Computer Science Logic
  • Year:
  • 2002

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Abstract

Proofs in Ludics are represented by designs. Designs (desseins) can be seen as an intermediate syntax between sequent calculus and proof nets, carrying advantages from both approaches, especially w.r.t. cut-elimination. To study interaction between designs and develop a geometrical intuition, we introduce an abstract machine which presents normalization as a token travelling along a net of designs. This allows a concrete approach, from which to carry on the study of issues such as: (i) which part of a design can be recognized interactively; (ii) how to reconstruct a design from the traces of its interactions in different tests.