PATCH graphs : An efficient data structure for complementation of finitely presented groups
Identifieur interne :
000D00 ( PascalFrancis/Corpus );
précédent :
000C99;
suivant :
000D01
PATCH graphs : An efficient data structure for complementation of finitely presented groups
Auteurs : C. Lynch ;
P. StrogovaSource :
-
Lecture notes in computer science [ 0302-9743 ] ; 1996.
RBID : Pascal:97-0017995
Descripteurs français
English descriptors
Abstract
Based on a new data structure called PATCH Graph, an efficient completion procedure for finitely presented groups is described. A PATCH Graph represents rules and their symmetrized forms as cycles in a Cayley graph structure. Completion is easily performed directly on the graph, and structure sharing is enforced. The structure of the graph allows us to avoid certain redundant inferences. The PATCH Graph data structure and inference rules complement other extensions of Knuth-Bendix completion for finitely presented groups.
Notice en format standard (ISO 2709)
Pour connaître la documentation sur le format Inist Standard.
| pA |
| A01 | 01 | 1 | | @0 0302-9743 |
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| A05 | | | | @2 1138 |
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| A08 | 01 | 1 | ENG | @1 PATCH graphs : An efficient data structure for complementation of finitely presented groups |
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| A09 | 01 | 1 | ENG | @1 AISMC-3 : artificial intelligence and symbolic mathematical computation : Steyr, September 23-25, 1996 |
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| A11 | 01 | 1 | | @1 LYNCH (C.) |
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| A11 | 02 | 1 | | @1 STROGOVA (P.) |
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| A12 | 01 | 1 | | @1 CALMET (Jacques) @9 ed. |
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| A12 | 02 | 1 | | @1 CAMPBELL (John A.) @9 ed. |
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| A12 | 03 | 1 | | @1 PFALZGRAF (Jochen) @9 ed. |
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| A14 | 01 | | | @1 INRIA Lorraine -CRIN, Technopôle de Nancy-Brabois, B.P. 101 @2 54602 Villers-lès-Nancy @3 FRA @Z 1 aut. |
|---|
| A14 | 02 | | | @1 INRIA Lorraine - CRIN and INRIA Rocquencourt, Technopôle de Nancy-Brabois, B.P. 101 @2 54602 Villers-lès-Nancy @3 FRA @Z 2 aut. |
|---|
| A20 | | | | @1 176-190 |
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| A21 | | | | @1 1996 |
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| A23 | 01 | | | @0 ENG |
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| A43 | 01 | | | @1 INIST @2 16343 @5 354000063989120110 |
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| A44 | | | | @0 0000 @1 © 1997 INIST-CNRS. All rights reserved. |
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| A45 | | | | @0 18 ref. |
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| A47 | 01 | 1 | | @0 97-0017995 |
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| A60 | | | | @1 P @2 C |
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| A61 | | | | @0 A |
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| A64 | 01 | 1 | | @0 Lecture notes in computer science |
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| A66 | 01 | | | @0 DEU |
|---|
| A66 | 02 | | | @0 USA |
|---|
| C01 | 01 | | ENG | @0 Based on a new data structure called PATCH Graph, an efficient completion procedure for finitely presented groups is described. A PATCH Graph represents rules and their symmetrized forms as cycles in a Cayley graph structure. Completion is easily performed directly on the graph, and structure sharing is enforced. The structure of the graph allows us to avoid certain redundant inferences. The PATCH Graph data structure and inference rules complement other extensions of Knuth-Bendix completion for finitely presented groups. |
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| C02 | 01 | X | | @0 001D02A06 |
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| C02 | 02 | X | | @0 001D02A02 |
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| C02 | 03 | X | | @0 001D02C02 |
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| C03 | 01 | X | FRE | @0 Partage @5 01 |
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| C03 | 01 | X | ENG | @0 Sharing @5 01 |
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| C03 | 01 | X | SPA | @0 Partición @5 01 |
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| C03 | 02 | X | FRE | @0 Cycle graphe @5 02 |
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| C03 | 02 | X | ENG | @0 Cycle(graph) @5 02 |
|---|
| C03 | 02 | X | SPA | @0 Ciclo diagrama @5 02 |
|---|
| C03 | 03 | X | FRE | @0 Graphe Cayley @5 03 |
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| C03 | 03 | X | ENG | @0 Cayley graph @5 03 |
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| C03 | 03 | X | SPA | @0 Grafo Cayley @5 03 |
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| C03 | 04 | X | FRE | @0 Structure donnée @5 04 |
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| C03 | 04 | X | ENG | @0 Data structure @5 04 |
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| C03 | 04 | X | SPA | @0 Estructura datos @5 04 |
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| C03 | 05 | X | FRE | @0 Règle inférence @5 05 |
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| C03 | 05 | X | ENG | @0 Inference rule @5 05 |
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| C03 | 05 | X | SPA | @0 Regla inferencia @5 05 |
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| C03 | 06 | X | FRE | @0 Théorie graphe @5 06 |
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| C03 | 06 | X | ENG | @0 Graph theory @5 06 |
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| C03 | 06 | X | SPA | @0 Teoría grafo @5 06 |
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| C03 | 07 | X | FRE | @0 Sémantique @5 07 |
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| C03 | 07 | X | ENG | @0 Semantics @5 07 |
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| C03 | 07 | X | SPA | @0 Semántica @5 07 |
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| C03 | 08 | X | FRE | @0 Consistance sémantique @5 08 |
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| C03 | 08 | X | ENG | @0 Soundness @5 08 |
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| C03 | 08 | X | SPA | @0 Consistencia semantica @5 08 |
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| N21 | | | | @1 006 |
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|
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| pR |
| A30 | 01 | 1 | ENG | @1 Artificial intelligence and symbolic mathematical computation. International conference @2 3 @3 Steyr AUT @4 1996-09-23 |
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|
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Format Inist (serveur)
| NO : | PASCAL 97-0017995 INIST |
|---|
| ET : | PATCH graphs : An efficient data structure for complementation of finitely presented groups |
|---|
| AU : | LYNCH (C.); STROGOVA (P.); CALMET (Jacques); CAMPBELL (John A.); PFALZGRAF (Jochen) |
|---|
| AF : | INRIA Lorraine -CRIN, Technopôle de Nancy-Brabois, B.P. 101/54602 Villers-lès-Nancy/France (1 aut.); INRIA Lorraine - CRIN and INRIA Rocquencourt, Technopôle de Nancy-Brabois, B.P. 101/54602 Villers-lès-Nancy/France (2 aut.) |
|---|
| DT : | Publication en série; Congrès; Niveau analytique |
|---|
| SO : | Lecture notes in computer science; ISSN 0302-9743; Allemagne; Da. 1996; Vol. 1138; Pp. 176-190; Bibl. 18 ref. |
|---|
| LA : | Anglais |
|---|
| EA : | Based on a new data structure called PATCH Graph, an efficient completion procedure for finitely presented groups is described. A PATCH Graph represents rules and their symmetrized forms as cycles in a Cayley graph structure. Completion is easily performed directly on the graph, and structure sharing is enforced. The structure of the graph allows us to avoid certain redundant inferences. The PATCH Graph data structure and inference rules complement other extensions of Knuth-Bendix completion for finitely presented groups. |
|---|
| CC : | 001D02A06; 001D02A02; 001D02C02 |
|---|
| FD : | Partage; Cycle graphe; Graphe Cayley; Structure donnée; Règle inférence; Théorie graphe; Sémantique; Consistance sémantique |
|---|
| ED : | Sharing; Cycle(graph); Cayley graph; Data structure; Inference rule; Graph theory; Semantics; Soundness |
|---|
| SD : | Partición; Ciclo diagrama; Grafo Cayley; Estructura datos; Regla inferencia; Teoría grafo; Semántica; Consistencia semantica |
|---|
| LO : | INIST-16343.354000063989120110 |
|---|
| ID : | 97-0017995 |
|---|
Links to Exploration step
Pascal:97-0017995
Le document en format XML
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</fA30><server><NO>PASCAL 97-0017995 INIST</NO>
<ET>PATCH graphs : An efficient data structure for complementation of finitely presented groups</ET>
<AU>LYNCH (C.); STROGOVA (P.); CALMET (Jacques); CAMPBELL (John A.); PFALZGRAF (Jochen)</AU>
<AF>INRIA Lorraine -CRIN, Technopôle de Nancy-Brabois, B.P. 101/54602 Villers-lès-Nancy/France (1 aut.); INRIA Lorraine - CRIN and INRIA Rocquencourt, Technopôle de Nancy-Brabois, B.P. 101/54602 Villers-lès-Nancy/France (2 aut.)</AF>
<DT>Publication en série; Congrès; Niveau analytique</DT>
<SO>Lecture notes in computer science; ISSN 0302-9743; Allemagne; Da. 1996; Vol. 1138; Pp. 176-190; Bibl. 18 ref.</SO>
<LA>Anglais</LA>
<EA>Based on a new data structure called PATCH Graph, an efficient completion procedure for finitely presented groups is described. A PATCH Graph represents rules and their symmetrized forms as cycles in a Cayley graph structure. Completion is easily performed directly on the graph, and structure sharing is enforced. The structure of the graph allows us to avoid certain redundant inferences. The PATCH Graph data structure and inference rules complement other extensions of Knuth-Bendix completion for finitely presented groups.</EA>
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