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Call by Need Computations to Root-Stable Form (1997)  (Make Corrections)  (45 citations)
Aart Middeldorp
Symposium on Principles of Programming Languages



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Abstract: The following theorem of Huet and L'evy forms the basis of all results on optimal reduction strategies for orthogonal term rewriting systems: every term not in normal form contains a needed redex, and repeated contraction of needed redexes results in the normal form, if the term under consideration has one. We generalize this theorem to computations to root-stable form and we argue that the resulting notion of root-neededness is more fundamental than (other variants of) neededness when it comes ... (Update)

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Rules + Strategies for Transforming Lazy Functional.. - Alpuente, Falaschi.. (2004)   (Correct)
Refining Weakly Outermost-Needed Rewriting and Narrowing - Escobar (2003)   (Correct)
Descendants and Origins in Term Rewriting - Bethke, Klop, de Vrijer (1999)   (Correct)

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0.3:   Context-Sensitive Rewriting Strategies - Lucas (1997)   (Correct)
0.2:   Finite Family Developments - van Oostrom (1997)   (Correct)
0.2:   Higher-Order Families - van Oostrom (1996)   (Correct)

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BibTeX entry:   (Update)

A. Middeldorp. Call by need computations to root-stable form. In Proc. the 24th ACM POPL, pages 94--105, 1997. http://citeseer.ist.psu.edu/middeldorp97call.html   More

@inproceedings{ middeldorp97call,
    author = "Aart Middeldorp",
    title = "Call by Need Computations to Root-Stable Form",
    booktitle = "Symposium on Principles of Programming Languages",
    pages = "94-105",
    year = "1997",
    url = "citeseer.ist.psu.edu/middeldorp97call.html" }
Citations (may not include all citations):
788   Rewrite Systems - Dershowitz, Jouannaud - 1990
474   Term Rewriting Systems - Klop - 1992
88   Computing in Systems Described by Equations (context) - O'Donnell - 1977
71   Transfinite Reductions in Orthogonal Term Rewriting Systems - Kennaway, Klop et al. - 1995
44   Programming in Equational Logic: Beyond Strong Sequentiality - Sekar, Ramakrishnan - 1993
34   Second-Order Monadic Logic and Tree Automata (context) - Comon - 1995
33   Decidable Approximations of Term Rewriting Systems (context) - Jacquemard - 1996
29   NV-Sequentiality: A Decidable Condition for Call-by-Need Com.. (context) - Oyamaguchi - 1993
28   Needed Reduction and Spine Strategies for the Lambda Calculu.. (context) - Barendregt, Kennaway et al. - 1987
25   Optimal Normalization in Orthogonal Term Rewriting Systems - Khasidashvili - 1993
24   A Sequential Reduction Strategy - Antoy, Middeldorp - 1996
14   A Conflict Between Call-by-Need Computation and Parallelism - Kennaway - 1995
13   Algebraic and Topological Properties (context) - Arnold, Nivat et al. - 1980
4   ese de Doctorat, Universit (context) - Maranget, Paresseuse - 1992



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Documents on the same site (http://www.score.is.tsukuba.ac.jp/~ami/research/papers/cp.html):   More
Relative Undecidability in the Termination.. - Geser.. (1997)   (Correct)
Relative Undecidability in Term Rewriting - Geser, Middeldorp, Ohlebusch.. (1996)   (Correct)
Strong Completeness of a Lazy Conditional Narrowing Calculus - Hamada, Middeldorp (1997)   (Correct)

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