Encoding Generic Judgments

  • Authors:
  • Dale Miller;Alwen Fernanto Tiu

  • Affiliations:
  • -;-

  • Venue:
  • FST TCS '02 Proceedings of the 22nd Conference Kanpur on Foundations of Software Technology and Theoretical Computer Science
  • Year:
  • 2002

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Abstract

The operational semantics of a computation system is often presented as inference rules or, equivalently, as logical theories. Specifications can be made more declarative and high-level if syntactic details concerning bound variables and substitutions are encoded directly into the logic using term-level abstractions (驴-abstraction) and proof-level abstractions (eigenvariables). When one wishes to reason about relations defined using term-level abstractions, generic judgment are generally required. Care must be taken, however, so that generic judgments are not uniformly handled using proof-level abstractions. Instead, we present a technique for encoding generic judgments and show two examples where generic judgments need to be treated at the term level: one example is an interpreter for Horn clauses extended with universal quantified bodies and the other example is that of the 驴-calculus.