Finite Automata, Their Algebras and Grammars: Towards a Theory of Formal Expressions
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1989
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The author, who died in 1984, is well-known both as a person and through his research in mathematical logic and theoretical computer science. In the first part of the book he presents the new classical theory of finite automata as unary algebras which he himself invented about 30 years ago. Many results, like his work on structure lattices or his characterization of regular sets by generalized regular rules, are unknown to a wider audience. In the second part of the book he extends the theory to general (non-unary, many-sorted) algebras, term rewriting systems, tree automata, and pushdown automata. Essentially Büchi worked independent of other rersearch, following a novel and stimulating approach. He aimed for a mathematical theory of terms, but could not finish the book. Many of the results are known by now, but to work further along this line presents a challenging research program on the borderline between universal algebra, term rewriting systems, and automata theory. For the whole book and again within each chapter the author starts at an elementary level, giving careful explanations and numerous examples and exercises, and then leads up to the research level. In this way he covers the basic theory as well as many nonstandard subjects. Thus the book serves as a textbook for both the beginner and the advances student, and also as a rich source for the expert |
| Beschreibung: | 1 Online-Ressource (XXII, 316 p) |
| ISBN: | 9781461388531 9781461388555 |
| DOI: | 10.1007/978-1-4613-8853-1 |
Internformat
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| 500 | |a The author, who died in 1984, is well-known both as a person and through his research in mathematical logic and theoretical computer science. In the first part of the book he presents the new classical theory of finite automata as unary algebras which he himself invented about 30 years ago. Many results, like his work on structure lattices or his characterization of regular sets by generalized regular rules, are unknown to a wider audience. In the second part of the book he extends the theory to general (non-unary, many-sorted) algebras, term rewriting systems, tree automata, and pushdown automata. Essentially Büchi worked independent of other rersearch, following a novel and stimulating approach. He aimed for a mathematical theory of terms, but could not finish the book. Many of the results are known by now, but to work further along this line presents a challenging research program on the borderline between universal algebra, term rewriting systems, and automata theory. For the whole book and again within each chapter the author starts at an elementary level, giving careful explanations and numerous examples and exercises, and then leads up to the research level. In this way he covers the basic theory as well as many nonstandard subjects. Thus the book serves as a textbook for both the beginner and the advances student, and also as a rich source for the expert | ||
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Datensatz im Suchindex
| _version_ | 1804153093054529536 |
|---|---|
| any_adam_object | |
| author | Büchi, Julius Richard 1924-1984 |
| author_GND | (DE-588)118898876 (DE-588)10682726X |
| author_facet | Büchi, Julius Richard 1924-1984 |
| author_role | aut |
| author_sort | Büchi, Julius Richard 1924-1984 |
| author_variant | j r b jr jrb |
| building | Verbundindex |
| bvnumber | BV042420755 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)1184499668 (DE-599)BVBBV042420755 |
| dewey-full | 518 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 518 - Numerical analysis |
| dewey-raw | 518 |
| dewey-search | 518 |
| dewey-sort | 3518 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4613-8853-1 |
| format | Electronic eBook |
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| id | DE-604.BV042420755 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:07Z |
| institution | BVB |
| isbn | 9781461388531 9781461388555 |
| language | English |
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| spelling | Büchi, Julius Richard 1924-1984 Verfasser (DE-588)118898876 aut Finite Automata, Their Algebras and Grammars Towards a Theory of Formal Expressions by J. Richard Büchi ; edited by Dirk Siefkes New York, NY Springer New York 1989 1 Online-Ressource (XXII, 316 p) txt rdacontent c rdamedia cr rdacarrier The author, who died in 1984, is well-known both as a person and through his research in mathematical logic and theoretical computer science. In the first part of the book he presents the new classical theory of finite automata as unary algebras which he himself invented about 30 years ago. Many results, like his work on structure lattices or his characterization of regular sets by generalized regular rules, are unknown to a wider audience. In the second part of the book he extends the theory to general (non-unary, many-sorted) algebras, term rewriting systems, tree automata, and pushdown automata. Essentially Büchi worked independent of other rersearch, following a novel and stimulating approach. He aimed for a mathematical theory of terms, but could not finish the book. Many of the results are known by now, but to work further along this line presents a challenging research program on the borderline between universal algebra, term rewriting systems, and automata theory. For the whole book and again within each chapter the author starts at an elementary level, giving careful explanations and numerous examples and exercises, and then leads up to the research level. In this way he covers the basic theory as well as many nonstandard subjects. Thus the book serves as a textbook for both the beginner and the advances student, and also as a rich source for the expert Mathematics Computer science Computer science / Mathematics Combinatorics Computational Mathematics and Numerical Analysis Robotics and Automation Mathematical Logic and Formal Languages Informatik Mathematik Endlicher Automat (DE-588)4224518-7 gnd rswk-swf Sequenzielle Logik (DE-588)4323079-9 gnd rswk-swf Automatentheorie (DE-588)4003953-5 gnd rswk-swf Sequenzielle Logik (DE-588)4323079-9 s Automatentheorie (DE-588)4003953-5 s 1\p DE-604 Endlicher Automat (DE-588)4224518-7 s 2\p DE-604 Siefkes, Dirk 1938-2016 Sonstige (DE-588)10682726X oth https://doi.org/10.1007/978-1-4613-8853-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Büchi, Julius Richard 1924-1984 Finite Automata, Their Algebras and Grammars Towards a Theory of Formal Expressions Mathematics Computer science Computer science / Mathematics Combinatorics Computational Mathematics and Numerical Analysis Robotics and Automation Mathematical Logic and Formal Languages Informatik Mathematik Endlicher Automat (DE-588)4224518-7 gnd Sequenzielle Logik (DE-588)4323079-9 gnd Automatentheorie (DE-588)4003953-5 gnd |
| subject_GND | (DE-588)4224518-7 (DE-588)4323079-9 (DE-588)4003953-5 |
| title | Finite Automata, Their Algebras and Grammars Towards a Theory of Formal Expressions |
| title_auth | Finite Automata, Their Algebras and Grammars Towards a Theory of Formal Expressions |
| title_exact_search | Finite Automata, Their Algebras and Grammars Towards a Theory of Formal Expressions |
| title_full | Finite Automata, Their Algebras and Grammars Towards a Theory of Formal Expressions by J. Richard Büchi ; edited by Dirk Siefkes |
| title_fullStr | Finite Automata, Their Algebras and Grammars Towards a Theory of Formal Expressions by J. Richard Büchi ; edited by Dirk Siefkes |
| title_full_unstemmed | Finite Automata, Their Algebras and Grammars Towards a Theory of Formal Expressions by J. Richard Büchi ; edited by Dirk Siefkes |
| title_short | Finite Automata, Their Algebras and Grammars |
| title_sort | finite automata their algebras and grammars towards a theory of formal expressions |
| title_sub | Towards a Theory of Formal Expressions |
| topic | Mathematics Computer science Computer science / Mathematics Combinatorics Computational Mathematics and Numerical Analysis Robotics and Automation Mathematical Logic and Formal Languages Informatik Mathematik Endlicher Automat (DE-588)4224518-7 gnd Sequenzielle Logik (DE-588)4323079-9 gnd Automatentheorie (DE-588)4003953-5 gnd |
| topic_facet | Mathematics Computer science Computer science / Mathematics Combinatorics Computational Mathematics and Numerical Analysis Robotics and Automation Mathematical Logic and Formal Languages Informatik Mathematik Endlicher Automat Sequenzielle Logik Automatentheorie |
| url | https://doi.org/10.1007/978-1-4613-8853-1 |
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