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Abstract: In this paper we study some natural problems related to specifying sets of words and trees by patterns. (Update)
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BibTeX entry: (Update)
@article{ kucherov00patterns,
author = "Gregory Kucherov and Micha{\"e}l Rusinowitch",
title = "Patterns in Words versus Patterns in Trees: {A} Brief Survey and New Results",
journal = "Lecture Notes in Computer Science",
volume = "1755",
pages = "283--??",
year = "2000",
url = "citeseer.ist.psu.edu/359123.html" }
Citations (may not include all citations):
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A guide to the theory of NP-completeness (context) - Garey, Johnson et al. - 1979
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Finding patterns common to a set of strings (context) - Angluin - 1980
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Avoidable patterns in strings of symbols (context) - Bean, Ehrenfeucht et al. - 1979
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Automatic proofs by induction in theories without constructo.. (context) - Jouannaud, Kounalis - 1989
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Open problems in rewriting
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20
ground-reducibility and their complexity (context) - Kapur, Narendran et al. - 1991
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Pattern matching in trees (context) - Ho, O'Donnell - 1982
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Open problems in pattern avoidance (context) - Currie - 1993
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Theoretical Computer Science (context) - Kari, Mateescu et al. - 1995
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Ground reducibility is EXPTIME-complete
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18
Inclusion is undecidable for pattern languages (context) - Jiang, Salomaa et al. - 1993
17
Tree pattern matching and subset matching in deterministic o
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13
Nonlinear pattern matching in trees (context) - Ramesh, Ramakrishnan - 1992
13
On relationship between term rewriting systems and regular t.. (context) - Kucherov - 1991
8
Decidability of regularity and related properties of ground ..
- Kucherov, Tajine - 1992
8
Decidability of regularity and related properties of ground ..
- Kucherov, Tajine - 1995
7
The relation of two patterns with comparable languages (context) - Fil - 1988
7
Undecidability of ground reducibility for word rewriting sys..
- Kucherov, Rusinowitch - 1995
7
Explicit representation of terms dened by counter examples (context) - Lassez, Marriot - 1987
5
Computing linearizations using test sets (context) - Hofbauer, Huber - 1992
5
Institut Polytechnique de Grenoble (context) - Comon, disunication et al. - 1988
4
On sucient completeness and related properties of term rewri.. (context) - Kapur, Narendran et al. - 1987
4
Working with ARMs: Complexity results on atomic representati.. (context) - Gottlob, Pichler - 1999
4
Complexity of testing ground reducibility for linear word re..
- Kucherov, Rusinowitch - 1995
3
Studies in Computer Science and Articial Intelligence (context) - Nivat, Podelski et al. - 1992
3
and time-space ecient string searching (context) - Crochemore, Rytter et al. - 1995
3
Nondeterminism in patterns (context) - Mateescu, Salomaa - 1994
2
Semantic con uence and completion method (context) - Plaisted - 1985
2
es dans les mots (context) - Cassaigne, evitables et al. - 1994
2
The explicit representability of implicit generalizations (context) - Pichler - 1999
1
The complexity of some complementation problems
- Kucherov, Plaisted - 1998
1
Detecting morphic images of a word: On the rank of a pattern (context) - eraud - 1995
1
a rewriting system it is decidable whether the set of irredu.. (context) - agv, Gilleron - 1992
1
Polynomial time inference of pattern langages and its applic.. (context) - Shinohara - 1982
Documents on the same site (http://www.loria.fr/~kucherov/res_activ.html): More
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Undecidability of Ground Reducibility for Word Rewriting.. - Kucherov, RUSINOWITCH (1995)
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On Repetition-Free Binary Words of Minimal Density.. - Kolpakov, Kucherov..
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