Sharing in the graph rewriting calculus

  • Authors:
  • Paolo Baldan;Clara Bertolissi

  • Affiliations:
  • Dipartimento di Matematica Pura e Applicata, Università di Padova, Italy;LIF, Université de Provence, Marseille, France

  • Venue:
  • WADT'10 Proceedings of the 20th international conference on Recent Trends in Algebraic Development Techniques
  • Year:
  • 2010

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Abstract

The graph rewriting calculus is an extension of the ρ-calculus, handling graph like structures, with explicit sharing and cycles, rather than simple terms. We study a reduction strategy for the graph rewriting calculus which is intended to maintain the sharing in the terms as long as possible. We show that the corresponding reduction relation is adequate w.r.t. the original semantics of the graph rewriting calculus, formalising the intuition that the strategy avoids useless unsharing.