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Formalization and Abstract Implementation of Rewriting with Nested Rules #

Summary: Formalization and Abstract Implementation
of Rewriting with Nested Rules #
Sergio Antoy and Stephen Johnson
Computer Science Department
Portland State University
P.O. Box 751, Portland, OR 97207, U.S.A.
This paper formalizes term rewriting systems (TRSs), called
scoped, in which a rewrite rule can be nested within another
rewrite rule. The right­hand side and/or the condition of a
nested rule can refer to any variable in the left­hand side of a
nesting rule. Nesting of rewrite rules is intended to define a
lexical scope with static binding. Our work is applicable to
programming languages in which programs are modeled by
TRSs and computations are executed by rewriting or nar­
rowing. In particular, we consider a class of non­confluent
and non­terminating TRSs well suited for modeling mod­
ern functional logic programs. We describe an abstract im­
plementation of rewriting and narrowing for scoped TRSs


Source: Antoy, Sergio - Department of Computer Science, Portland State University


Collections: Computer Technologies and Information Sciences