Studies in Abstract Families of Languages

Studies in Abstract Families of Languages PDF

Author: Seymour Ginsburg

Publisher: American Mathematical Soc.

Published: 1969

Total Pages: 58

ISBN-13: 0821812874

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The first paper introduces the notion of an abstract family of languages (AFL) and is concerned with the properties and characterizations of such families. The second is concerned with the independence of the abstract family of languages (AFL) axioms. The third is concerned with families of languages which are usually not AFL but give rise to AFL when closed under homomorphisms.

Encyclopaedia of Mathematics

Encyclopaedia of Mathematics PDF

Author: Michiel Hazewinkel

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 595

ISBN-13: 9401512884

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This is the first Supplementary volume to Kluwer's highly acclaimed Encyclopaedia of Mathematics. This additional volume contains nearly 600 new entries written by experts and covers developments and topics not included in the already published 10-volume set. These entries have been arranged alphabetically throughout. A detailed index is included in the book. This Supplementary volume enhances the existing 10-volume set. Together, these eleven volumes represent the most authoritative, comprehensive up-to-date Encyclopaedia of Mathematics available.

Formal Language Theory

Formal Language Theory PDF

Author: Ronald V. Book

Publisher: Academic Press

Published: 2014-05-10

Total Pages: 469

ISBN-13: 1483267504

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Formal Language Theory: Perspectives and Open Problems focuses on the trends and major open problems on the formal language theory. The selection first ponders on the methods for specifying families of formal languages, open problems about regular languages, and generators of cones and cylinders. Discussions focus on cylinders of algebraic languages, cone of algebraic languages, regularity of noncounting classes, group complexity, specification formalism, and grammars. The publication then elaborates on very small families of algebraic nonrational languages and formal languages and their relation to automata. The book tackles morphisms on free monoids and language theory, homomorphisms, and survey of results and open problems in the mathematical theory of L systems. Topics include single finite substitutions iterated, single homomorphisms iterated, representation of language families, homomorphism equivalence on a language, and problems about infinite words. The selection is a valuable source of data for researchers interested in the formal language theory.

Handbook of Home Language Maintenance and Development

Handbook of Home Language Maintenance and Development PDF

Author: Andrea C. Schalley

Publisher: Handbooks of Applied Linguistics [HAL]

Published: 2022

Total Pages: 0

ISBN-13: 9781501527210

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This volume provides a state-of-the-art overview of research on social and affective factors in the maintenance and development of home languages. It showcases the field's breadth across contexts, populations and research paradigms, and ranges in

Elements of Compiler Design

Elements of Compiler Design PDF

Author: Alexander Meduna

Publisher: CRC Press

Published: 2007-12-03

Total Pages: 292

ISBN-13: 1420063235

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Maintaining a balance between a theoretical and practical approach to this important subject, Elements of Compiler Design serves as an introduction to compiler writing for undergraduate students. From a theoretical viewpoint, it introduces rudimental models, such as automata and grammars, that underlie compilation and its essential phases. Based on these models, the author details the concepts, methods, and techniques employed in compiler design in a clear and easy-to-follow way. From a practical point of view, the book describes how compilation techniques are implemented. In fact, throughout the text, a case study illustrates the design of a new programming language and the construction of its compiler. While discussing various compilation techniques, the author demonstrates their implementation through this case study. In addition, the book presents many detailed examples and computer programs to emphasize the applications of the compiler algorithms. After studying this self-contained textbook, students should understand the compilation process, be able to write a simple real compiler, and easily follow advanced books on the subject.

Research in Young Children's Literacy and Language Development

Research in Young Children's Literacy and Language Development PDF

Author: Olivia N. Saracho

Publisher: Routledge

Published: 2019-12-13

Total Pages: 709

ISBN-13: 1351609564

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The importance of the early years in young children’s lives and the rigid inequality in literacy achievement are a stimulating backdrop to current research in young children’s language and literacy development. This book reports new data and empirical analyses that advance the theory of language and literacy, with researchers using different methodologies in conducting their study, with both a sound empirical underpinning and a captivating analytical rationalization of the results. The contributors to this volume used several methodological methods (e.g. quantitative, qualitative) to describe the complete concept of the study; the achievement of the study; and the study in an appropriate manner based on the study’s methodology. The contributions to this volume cover a wide range of topics, including dual language learners; Latino immigrant children; children who have hearing disabilities; parents’ and teachers’ beliefs about language development; early literacy skills of toddlers and preschool children; interventions; multimodalities in early literacies; writing; and family literacy. The studies were conducted in various early childhood settings such as child care, nursery school, Head Start, kindergarten, and primary grades, and the subjects in the studies represent the pluralism of the globe – a pluralism of language, backgrounds, ethnicity, abilities, and disabilities. This book was originally published as a special issue of Early Child Development and Care.

Abstract Families of Languages Generated by Bounded Languages

Abstract Families of Languages Generated by Bounded Languages PDF

Author: Jonathan Goldstine

Publisher:

Published: 1970

Total Pages: 288

ISBN-13:

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An AFL is defined to be bounded if it is generated by a set of bounded languages. It is shown that the smallest full AFL containing a bounded AFL is itself a bounded AFL. An AFL is exhibited which is contained in a bounded AFL but which is not itself bounded. It is shown that a bounded AFL containing a non-regular set cannot be closed under substitution. If g is any set of bounded languages, it is shown that the smallest intersection closed AFL containing g cannot contain all recursively enumerable languages. In contrast, a one-letter language L is exhibited for which the smallest intersection closed full AFL containing L does contain all recursively enumerable languages. A set g of languages is independent if every proper subset of g fully generates a smaller full AFL then g does. It is shown that there exist infinite independent sets of languages. A representation in terms of multitape sequential transducers is given for each language in the smallest intersection closed (full) AFL containing a given language. (Author).