Editorial - Term Rewriting

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Term Graph Rewriting and Parallel Term Rewriting

The relationship between Term Graph Rewriting and Term Rewriting is well understood: a single term graph reduction may correspond to several term reductions, due to sharing. It is also known that if term graphs are allowed to contain cycles, then one term graph reduction may correspond to infinitely many term reductions. We stress that this fact can be interpreted in two ways. According to the ...

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Term Rewriting

Contents 1 Abstract Reduction Systems Abstract Term Rewriting Systems play an important role in various areas, such as abstract data type speciications, implementations of functional programming languages and automated deduction. In this chapter we introduce several of the basic concepts and facts for TRS's. Speciically, we discuss Abstract Reduction Systems; general Term Rewriting Systems incl...

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Term Graph Rewriting 5 4 Adequacy of Graph Rewriting for Term Rewriting 8 5 Implementing Term Rewriting

Recently, many techniques have been introduced that allow the (automated) classification of the runtime complexity of term rewrite systems (TRSs for short). In earlier work, the authors have shown that for confluent TRSs, innermost polynomial runtime complexity induces polytime computability of the functions defined. In this paper, we generalise the above result to full rewriting. Following our...

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Transfinite Rewriting Semantics for Term Rewriting Systems

We provide some new results concerning the use of trans-nite rewriting for giving semantics to rewrite systems. We especially (but not only) consider the computation of possibly innnite constructor terms by transsnite rewriting due to their interest in many programming languages. We reconsider the problem of compressing transsnite rewrite sequences into shorter (possibly nite) ones. We also inv...

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Natural Rewriting for General Term Rewriting Systems

We address the problem of an efficient rewriting strategy for general term rewriting systems. Several strategies have been proposed over the last two decades for rewriting, the most efficient of all being the natural rewriting strategy [9]. All the strategies so far, including natural rewriting, assume that the given term rewriting system is a left-linear constructor system. Although these rest...

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ژورنال

عنوان ژورنال: The Computer Journal

سال: 1991

ISSN: 0010-4620,1460-2067

DOI: 10.1093/comjnl/34.1.1