Modes of Convergence for Term Graph Rewriting
نویسندگان
چکیده
منابع مشابه
Modes of Convergence for Term Graph Rewriting
Term graph rewriting provides a simple mechanism to finitely represent restricted forms of infinitary term rewriting. The correspondence between infinitary term rewriting and term graph rewriting has been studied to some extent. However, this endeavour is impaired by the lack of an appropriate counterpart of infinitary rewriting on the side of term graphs. We aim to fill this gap by devising tw...
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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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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 graph rewriting provides a formalism for implementing term rewriting in an efficient manner by avoiding duplication. Infinitary term rewriting has been introduced to study infinite term reduction sequences. Such infinite reductions can be used to model non-strict evaluation. In this paper, we unify term graph rewriting and infinitary term rewriting thereby addressing both components of laz...
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A version of generalised term graph rewriting is presented in which redirections are interpreted transitively. It is shown that the new semantics enjoy enhanced properties regarding ease of implementation on distributed machines compared with conventional semantics because of the Church-Rosser properties of transitive redirections. Furthermore, the good properties of orthogonal systems are larg...
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ژورنال
عنوان ژورنال: Logical Methods in Computer Science
سال: 2012
ISSN: 1860-5974
DOI: 10.2168/lmcs-8(2:6)2012