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Open Problems in Rewriting (1991)  (Make Corrections)  (23 citations)
Nachum Dershowitz, Jean-Pierre Jouannaud, Jan Willem Klop
Proceedings of the Fourth International Conference on Rewriting Techniques and Applications (Como, Italy)



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Abstract: Introduction Interest in the theory and applications of rewriting has been growing rapidly, as evidenced in part by four conference proceedings (including this one) [15, 26, 41, 66]; three workshop proceedings [33, 47, 77]; five special journal issues [5, 88, 24, 40, 67]; more than ten surveys [2, 7, 27, 28, 44, 56, 57, 76, 82, 81]; one edited collection of papers [1]; four monographs [3, 12, 55, 65]; and seven books (four of them still in progress) [8, 9, 35, 54, 60, 75, 84]. To encourage and ... (Update)

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.... s, many su cient conditions for ensuring CR have been obtained [3, 5 16] However, some important problems concerning CR remain open [2, 4]. In this paper, we focus on CR of left linear TRS s. B.K.Rosen [9] rst proved that a left linear TRS is CR if there exist no critical...

.... most one of them [Berry, 1978] The problem of determining which term rewrite systems can be translated into lambda calculus is open [Dershowitz et al. 1991]. It is known that not all orthogonal systems can be translated, but that all strongly sequential orthogonal constructor...

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BibTeX entry:   (Update)

Nachum Dershowitz, Jean-Pierre Jouannaud, Jan Willem Klop (1991). Open Problems in Rewriting. 4 th RTA 1991, LNCS 488, pp. 445-456, Springer-Verlag. http://citeseer.ist.psu.edu/article/dershowitz91open.html   More

@inproceedings{ dershowitz91open,
    author = "Nachum Dershowitz and Jean-Pierre Jouannaud and Jan Willem Klop",
    title = "Open Problems in Rewriting",
    booktitle = "Proceedings of the Fourth International Conference on Rewriting Techniques and Applications (Como, Italy)",
    volume = "488",
    month = "April",
    publisher = "Springer-Verlag",
    address = "Berlin",
    editor = "R. Book",
    pages = "445--456",
    year = "1991",
    url = "citeseer.ist.psu.edu/article/dershowitz91open.html" }
Citations (may not include all citations):
788   Rewrite systems - Dershowitz, Jouannaud - 1991
788   Rewrite systems - Dershowitz, Jouannaud - 1990
474   Term rewriting systems - Klop - 1991
474   Term Rewriting Systems - Klop, de Vrijer - 1991
382   Lambda calculi with types - Barendregt - 1991
247   Confluent reductions: Abstract properties and applications t.. (context) - Huet - 1980
210   its Syntax and Semantics (context) - Barendregt, Lambda - 1991
210   its Syntax and Semantics (context) - Barendregt, Calculus - 1984
174   Combinatory reduction systems (context) - Klop - 1980
137   Introduction to Combinators and -Calculus (context) - Hindley, Seldin - 1986
129   Termination of rewriting (context) - Dershowitz - 1987
125   Solving equations in abstract algebras: A rule-based survey .. (context) - Jouannaud, Kirchner - 1991
118   Complete axiomatizations of the algebras of the finite (context) - Maher - 1988
103   Complete sets of reductions for some equational theories (context) - Peterson, Stickel - 1981
85   On Proving Term Rewriting Systems are Noetherian (context) - Lankford - 1979
71   Transfinite reductions in orthogonal term rewriting systems - Kennaway, Klop et al. - 1991
63   Modular Properties of Term Rewriting Systems (context) - Middeldorp - 1990
59   Equational Logic as a Programming Language (context) - O'Donnell - 1985
58   Canonical Equational Proofs (context) - Bachmair - 1991
58   Termination of rewriting systems by polynomial interpretatio.. (context) - Cherifa, Lescanne - 1987
56   of Lecture Notes in Computer Science (context) - Lescanne, Techniques et al. - 1987
56   of Lecture Notes in Computer Science (context) - Jouannaud, Techniques et al. - 1985
55   Completion of a set of rules modulo a set of equations (context) - Jouannaud, Kirchner - 1986
53   Theoretical Computer Science (context) - Dershowitz, Kaplan et al. - 1991
50   Semantic confluence tests and completion methods (context) - Plaisted - 1985
50   Refutational theorem proving using term-rewriting systems (context) - Hsiang - 1985
47   A rationale for conditional equational programming (context) - Dershowitz, Okada - 1990
44   Equational reasoning and term rewriting systems - Plaisted - 1991
42   The theory of ground rewrite systems is decidable (context) - Dauchet, Tison - 1990
33   Sequentiality in Orthogonal Term Rewriting Systems (context) - Klop, Middeldorp - 1989
31   On sufficient completeness and related properties of term re.. (context) - Kapur, Narendran et al. - 1987
31   Canonical Forms in Finitely Presented Algebras (context) - Le Chenadec - 1985
30   A new method for undecidability proofs of first order theori.. - Treinen
29   Term rewriting and equational reasoning (context) - Avenhaus, Madlener - 1990
28   A complete proof of correctness of the Knuth-Bendix completi.. (context) - Huet - 1981
27   Computing unification algorithms (context) - Kirchner - 1986
26   Simulation of Turing machines by a left-linear rewrite rule (context) - Dauchet - 1989
25   Computations in orthogonal term rewriting systems (context) - Huet, L'evy
25   Explicit representation of terms defined by counter examples (context) - Lassez, Marriott - 1987
25   Word problems and a homological finiteness condition for mon.. (context) - Squier - 1991
23   Associative-commutative unification (context) - Fages - 1987
22   Sequential evaluation strategies for parallel-or and related.. (context) - Kennaway - 1989
22   Modular aspects of properties of term rewriting systems rela.. (context) - Middeldorp - 1989
20   Solving inequations in term algebras (context) - Comon - 1990
20   The Church-Rosser property for ground term rewriting systems.. (context) - Oyamaguchi - 1987
19   Decidability of the confluence of finite ground term rewriti.. (context) - Dauchet, Heuillard et al. - 1990
15   Universal unification (context) - Siekmann - 1984
14   Commutativity of term rewriting systems (context) - Toyama - 1988
13   On relationship between term rewriting systems and regular t.. (context) - Kucherov - 1991
13   Unique normal forms for lambda calculus with surjective pair.. (context) - Klop, de Vrijer - 1989
13   A refinement of strong sequentiality for term rewriting with.. (context) - Thatte - 1987
13   Unification et Disunification: Th'eorie et Applications (context) - Comon - 1988
12   Complete sets of reductions modulo Associativity (context) - Baird, Peterson et al. - 1989
11   An equational approach to theorem proving in first-order pre.. (context) - Kapur, Narendran - 1985
9   Clausal rewriting (context) - Nieuwenhuis, Orejas - 1990
9   Accessible independence results for Peano arithmetic (context) - Kirby, Paris - 1982
9   Term rewriting systems (context) - Plaisted - 1991
9   Theoretical Computer Science (context) - Bauer, systems - 1985
8   of Lecture Notes in Computer Science (context) - Benninghofen, Kemmerich et al. - 1987
7   A new ac unification algorithm with an algorithm for solving.. (context) - Boudet, Contejean et al. - 1990
7   Conditional rewriting in Focus (context) - Bronsard, Reddy - 1991
7   Bulletin of the European Association for Theoretical Compute.. (context) - Klop, systems et al. - 1987
6   Rewriting: Theory and Applications (context) - Kirchner, Kirchner - 1991
6   Programming with equations (context) - O'Donnell - 1991
6   Inference rules for rewrite-based first-order theorem provin.. (context) - Bachmair, Dershowitz - 1987
6   Bounds on Derivation Lengths from Termination Proofs (context) - Cichon - 1990
6   Topics in completion theorem proving (context) - Muller, Socher-Ambrosius - 1988
5   Conditional rewrite rules: Confluency and termination (context) - Bergstra, Klop - 1986
5   Extending the lambda calculus with surjective pairing is con.. (context) - de Vrijer - 1989
5   Decision problems for term rewriting systems and recognizabl.. (context) - Gilleron - 1991
5   Unique normal forms for Combinatory Logic with Parallel Cond.. (context) - de Vrijer - 1990
4   Completion modulo associativity (context) - Jouannaud, March'e - 1990
4   of Lecture Notes in Computer Science (context) - Dershowitz, International et al. - 1989
4   Well rewrite orderings (context) - Lescanne - 1990
3   Computer Science Laboratory (context) - Dershowitz, Marcus et al. - 1985
3   Resolution of Equations in Algebraic Structures (context) - Ait-Kaci, Nivat - 1989
3   Rewriting Techniques and Applications (context) - Jouannaud - 1987
2   Theoretical Computer Science (context) - Krishnamoorthy, Narendran et al. - 1985
2   Calcul de longueurs de chaines de r'e'ecriture dans le monoi.. (context) - M'etivier - 1985
2   A New Strategy for the Boolean Ring Based Approach to First .. (context) - Zhang - 1991
2   Reduction graphs in the Lambda Calculus (context) - Venturini-Zilli - 1984
2   Mimimal and optimal computations of recursive programs (context) - Berry, L'evy - 1979
2   of Theoretical Computer Science (context) - Lescanne, Techniques et al. - 1989
2   Rewrite Techniques in Theorem Proving (context) - Bachmair, Hsiang - 1991
1   An Introduction to Rewriting (context) - Sleep - 1992
1   Satisfiability of systems of ordinal notations enjoying the .. (context) - Jouannaud, Okada - 1991
1   Rewriting Techniques and Applications III (context) - Dershowitz - 1992
1   Computing the Lexicographic Path Ordering (context) - Snyder - 1990
1   Term Rewriting (context) - Thomas - 1991



The graph only includes citing articles where the year of publication is known.


Documents on the same site (http://www-sal.cs.uiuc.edu/~nachum/papers/):   More
Hierarchical Termination - Dershowitz (1995)   (Correct)
Logical Debugging - Lee, Dershowitz   (Correct)
Rewrite, Rewrite, Rewrite, Rewrite, Rewrite, ... - Dershowitz, al. (1989)   (Correct)

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