Converting between combinatory reduction systems and big step semantics

  • Authors:
  • Hanne Gottliebsen;Kristoffer H. Rose

  • Affiliations:
  • -;IBM Thomas J. Watson Research Center

  • Venue:
  • Semantics and algebraic specification
  • Year:
  • 2009

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Abstract

We make a connection between higher-order rewriting in the form of combinatory reduction systems (CRS) and logic-based operational semantics in the form of big step semantic (BSS) specifications. We show how sets of CRS rewrite rules can be encoded as BSS, and how BSS (including natural semantics) can be encoded as CRS. The connections permit the use of proper variables and substitution in both formalisms.