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 ...

Jungles are acyclic hypergraphs which represent sets of terms such that common subterms can be shared. Term rewrite rules are translated into jungle evaluation rules which implement parallel term rewriting steps. By using additional hypergraph rules which “fold” equal subterms, even non-left-linear term rewriting systems can be implemented. As a side effect, these folding rules can speed up the...

In this paper, we show that the SR transformation, a computationally equivalent transformation proposed by Şerbănuţă and Roşu, is a sound structure-preserving transformation for weakly-left-linear deterministic conditional term rewriting systems. More precisely, we show that every weakly-leftlinear deterministic conditional term rewriting system can be converted to an equivalent weakly-leftline...

We deene Lazy Term Rewriting Systems and show that they can be realized by local adaptations of an eager implementation of conventional term rewriting systems. The overhead of lazy evaluation is only incurred when lazy evaluation is actually performed. Our method is modelled by a transformation of term rewriting systems, which concisely expresses the intricate interaction between pattern matchi...

Bounded rewriting for linear term rewriting systems has been defined in (I. Durand, G. Sénizergues, M. Sylvestre. Termination of linear bounded term rewriting systems. Proceedings of the 21st International Conference on Rewriting Techniques and Applications) as a restriction of the usual notion of rewriting. We extend here this notion to the whole class of left-linear term rewriting systems, an...

1. I n t r o d u c t i o n Many term rewriting systems and their modifications are considered in logic, automated theorem proving, and programming language [2,3,4,6,8,9]. A fundamental property of term rewriting systems is the confluence property. A few sufficient criteria for the confluence are well known [2,3,4,5,8,9]. However, if a term rewriting system is nonterminating and nonlinear, we kn...