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Handbook of formal languages. Volume 3. Beyond words /

This third volume of the Handbook of Formal Languages discusses language theory beyond linear or string models: trees, graphs, grids, pictures, computer graphics. Many chapters offer an authoritative self-contained exposition of an entire area. Special emphasis is on interconnections with logic.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Rozenberg, Grzegorz, Salomaa, Arto
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin ; New York : Springer, Ã1997.
Temas:
Acceso en línea:Texto completo

MARC

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245 0 0 |a Handbook of formal languages.  |n Volume 3.  |p Beyond words /  |c G. Rozenberg, A. Salomaa (eds.). 
246 3 0 |a Beyond words 
260 |a Berlin ;  |a New York :  |b Springer,  |c Ã1997. 
300 |a 1 online resource (xx, 625 pages) :  |b illustrations 
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520 |a This third volume of the Handbook of Formal Languages discusses language theory beyond linear or string models: trees, graphs, grids, pictures, computer graphics. Many chapters offer an authoritative self-contained exposition of an entire area. Special emphasis is on interconnections with logic. 
504 |a Includes bibliographical references and index. 
505 0 |a Of Volume 3 -- 1. Tree Languages -- 1. Introduction -- 2. Trees and terms -- 3. Algebraic preliminaries -- 4. Term rewriting systems -- 5. Finite tree recognizers -- 6. Regular tree grammars -- 7. Tree language operations and closure properties of Rec -- 8. Local tree languages -- 9. A Kleene theorem for tree languages -- 10. Regular tree systems -- 11. Algebraic characterizations of recognizability -- 12. Monadic second-order logic and regular tree languages -- 13. Families of special regular tree languages -- 14. The yield-function and context-free languages -- 15. Context-free tree grammars and pushdown tree recognizers -- 16. Tree transformations and tree transducers -- 17. Composition and decomposition of tree transformations -- 18. Tree transducers with regular look-ahead -- 19. Generalized syntax directed translations -- 20. Surface tree languages -- 21. The hierarchies of surface tree languages and transformational languages -- 22. Some further topics -- References -- 2. Tree-Adjoining Grammars -- 1. Introduction -- 2. Tree-adjoining grammars -- 3. Lexicalized grammars -- 4. 'Lexicalization' of CFGs -- 5. Closure of TAGs under lexicalization -- 6. Summary of lexicalization -- 7. Embedded push-down automaton (EPDA) -- 8. Linguistic relevance -- 9. Some variants of TAGs -- 10. Parsing lexicalized tree-adjoining grammars (LTAG) -- 11 Summary -- References -- 3. Context-Free Graph Grammars -- 1. Introduction -- 2. Node and edge replacement -- 3. Hyperedge replacement grammars -- 4. Node replacement grammars -- 5. Monadic second order logic -- 6. Graph grammars generating strings and trees -- 7. Tree grammars generating graphs -- References -- 4. Two-Dimensional Languages -- 1. Introduction -- 2. Preliminaries -- 3. Regular expressions -- 4. Automata -- 5. Grammars -- 6. Logic formulas -- 7. Tiling systems -- 8. Equivalence theorems -- 9. Properties of recognizable languages -- 10. Recognizable functions -- 11. Beyond finite state recognizability -- References -- 5. Basics of Term Rewriting -- 1. Introduction -- 2. Terms -- 3. Church -- Rosser properties -- 4. Orderings -- 5. Completion -- 6. Rewriting modulo a relation -- 7. Sundries -- References and further reading -- 6.?-Languages -- 1. Introduction -- 2. Topology for languages and?-languages -- 3. The Chomsky hierarchy of?-languages -- 4. Languages and?-languages -- 5. Wagner's hierarchy -- References -- 7. Languages, Automata, and Logic -- 1. Introduction -- 2. Models and formulas -- 3. Automata and MSO-logic on finite words and trees -- 4. First-order definability -- 5. Automata and MSO-logic on infinite words -- 6. Automata and MSO-logic on infinite trees -- References -- 8. Partial Commutation and Traces -- 1. Introduction -- 2. Free partially commutative monoids -- 3. Combinatorial properties -- 4. Recognizable trace languages -- 5. Rational trace languages -- 6. Dependence graphs and logic -- 7. Asynchronous automata -- 8. Infinite traces -- References -- 9. Visual Models of Plant Development -- 1. Introduction -- 2. Developmental models of plant architecture -- 3. Formal description of branching structures -- 4. Fundamentals of modeling using L-systems -- 5. Random factors in development -- 6. Life, death, and reproduction -- 7. Development controlled by endogenous mechanisms -- 8. Development controlled by exogenous mechanisms -- 9. Conclusions -- 10. Acknowledgements -- References -- 10. Digital Images and Formal Languages -- 1. Introduction -- 2. Black and white images and finite automata -- 3. Grayscale images and WFA -- 4. Weighted finite transducers -- 5. Examples of WFT -- References. 
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700 1 |a Salomaa, Arto. 
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