Linearity, Non-determinism and Solvability

  • Authors:
  • Michele Pagani;Simona Ronchi Della Rocca

  • Affiliations:
  • (Correspd.) Laboratoire d'Informatique de Paris-Nord - Université Paris 13, 99, avenue Jean-Baptiste Clément, 93430 Villetaneuse France. michele.pagani@lipn.univ-paris13.fr;Dipartimento di Informatica - Università di Torino, C.So Svizzera, 185 - 10149 Torino, Italy. ronchi@di.unito.it

  • Venue:
  • Fundamenta Informaticae - From Mathematical Beauty to the Truth of Nature: to Jerzy Tiuryn on his 60th Birthday
  • Year:
  • 2010

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Abstract

We study the notion of solvability in the resource calculus, an extension of the λ-calculus modelling resource consumption. Since this calculus is non-deterministic, two different notions of solvability arise, one optimistic (angelical, may) and one pessimistic (demoniac, must). We give a syntactical, operational and logical characterization for the may-solvability and only a partial characterization of the must-solvability. Finally, we discuss the open problem of a complete characterization of the must-solvability.