Currying of Order-Sorted Term Rewriting Systems
نویسندگان
چکیده
Term rewriting system is a helpful tool for implementing functional programming languages. We focus upon a transformation of term rewriting systems called currying. Currying transforms a term rewriting system with symbols of arbitrary arity into another one, which contains only nullary symbols with a single binary symbol called application. Currying in single-sorted case is explored in [1] but currying in typed case remains as a problem. This paper rst proposes currying of order-sorted term rewriting systems. Then, we prove that compatibility and con uence of order-sorted term rewriting systems are preserved by currying.
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KAWABE and ISHII : THE COMPLETENESS OF ORDER - SORTED TERM REWRITING SYSTEMS IS PRESERVED
The currying of term rewriting systems (TRSs) is a transformation of TRSs from a functional form to an applicative form. We have already introduced an order-sorted version of currying and proved that the compatibility and con uence of order-sorted TRSs were preserved by currying[3]. In this paper, we focus on a key property of TRSs, completeness. We rst show some proofs omitted in ref.[3]. Then...
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