Derivational complexity is an invariant cost model

  • Authors:
  • Ugo Dal Lago;Simone Martini

  • Affiliations:
  • Dipartimento di Scienze dell'Informazione, Università di Bologna, Bologna, Italy;Dipartimento di Scienze dell'Informazione, Università di Bologna, Bologna, Italy

  • Venue:
  • FOPARA'09 Proceedings of the First international conference on Foundational and practical aspects of resource analysis
  • Year:
  • 2009

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Abstract

We show that in the context of orthogonal term rewriting systems, derivational complexity is an invariant cost model, both in innermost and in outermost reduction. This has some interesting consequences for (asymptotic) complexity analysis, since many existing methodologies only guarantee bounded derivational complexity.