Toward a Homological Algebra of Automata IV PDF Download
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Author: Yehoshafat Give'on
Publisher:
ISBN:
Category : Algebra, Homological
Languages : en
Pages : 142
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Book Description
Author: Yehoshafat Give'on
Publisher:
ISBN:
Category : Algebra, Homological
Languages : en
Pages : 142
Get Book Here
Book Description
Author: Yehoshafat Give'on
Publisher:
ISBN:
Category :
Languages : en
Pages : 115
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Book Description
Author:
Publisher:
ISBN:
Category : Algebra, Homological
Languages : en
Pages :
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Book Description
Author: Yehoshafat Give'on
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Yehos Hafat Give'on
Publisher:
ISBN:
Category :
Languages : en
Pages : 14
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Book Description
The projective objects of the category of automata (as state diagrams) with W as input are characterized. (Author).
Author: Yehoshafat Give'on
Publisher:
ISBN:
Category :
Languages : en
Pages : 27
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Book Description
Author: Yehoshafat Give'on
Publisher:
ISBN:
Category :
Languages : en
Pages : 40
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Book Description
Author: Yehoshafat Give'on
Publisher:
ISBN:
Category :
Languages : en
Pages : 28
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Book Description
In this paper the author formulates the categorical theory of abstract automata. Two immediate basic problems are posed. First, one wonders how restricted the study of abstract automata is when one confines himself to those properties which are formulated by means of the notions of category theory only. This is a mathematical question whose answer should be proved. The author proves the completeness of the categorical study of abstract automata for a wide class of input monoids, a class which includes all types of monoids employed in the theory of finite automata. In order to get this result, a general representation theorem for abstract automata is derived. The second question is psychological. How well does the categorical study of automata suit our intuitions and our problems. The answers to such a problem is not a matter of proof. The development presented in this paper has convinced the author of the potentiality of this new approach toward automata. Thus, this paper serves as a prelude to a series of papers which will exploit homological and categorical algebra methods for the sake of a mathematical theory of automata. (Author).
Author: Jirí Adámek
Publisher: Springer Science & Business Media
ISBN: 9780792300106
Category : Mathematics
Languages : en
Pages : 498
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Book Description
Monograph( based very largely upon results original to the Czechoslovakian authors) presents an abstract account of the theory of automata for sophisticated readers presumed to be already conversant in the language of category theory. The seven chapters are punctuated at frequent intervals by exampl
Author: J. Richard Büchi
Publisher: Springer Science & Business Media
ISBN: 1461388538
Category : Mathematics
Languages : en
Pages : 335
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Book Description
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.
