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A needed narrowing strategy

Antoy, Sergio and Echahed, Rachid and Hanus, Michael

November 1993, 28 pages.

Status: available - back from printing

Narrowing is the operational principle of languages that integrate functional and logic programming. We propose a notion of a needed narrowing step that, for inductively sequential rewrite systems, extends the Huet and Levy notion of a needed reduction step. We define a strategy, based on this notion, that computes only needed narrowing steps. Our strategy is sound and complete for a large class of rewrite systems, is optimal w.r.t. the cost measure that counts the number of distinct steps of a derivation, computes only independent unifiers, and is efficiently implemented by pattern matching.

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  AUTHOR = {Antoy, Sergio and Echahed, Rachid and Hanus, Michael},
  TITLE = {A needed narrowing strategy},
  TYPE = {Research Report},
  INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
  ADDRESS = {Im Stadtwald, D-66123 Saarbr{\"u}cken, Germany},
  NUMBER = {MPI-I-93-243},
  MONTH = {November},
  YEAR = {1993},
  ISSN = {0946-011X},