Download or read book Discrete Structure and Automata Theory for Learners written by Dr. UMESH SEHGAL and published by BPB Publications. This book was released on 2020-09-05 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn to identify the implementation of Discrete Structure and Theory of Automata in a myriad of applications used in day to day life Key Features _ Learn how to write an argument using logical notation and decide if the argument is valid or not valid. _ Learn how to use the concept of different data structures (stacks, queues, sorting concept, etc.) in the computer science field. _ Learn how to use Automata Machines like FSM, Pushdown automata, Turing machine, etc. in various applications related to computer science through suitable practical illustration. _ Learn how to implement the finite state machine using JFLAP (Java Formal Languages and Automata Package). Description This book's purpose is to provide a modern and comprehensive introduction to the subject of Discrete Structures and Automata Theory. Discrete structures, also called Discrete Mathematics, are an exciting and active subject, particularly due to its extreme relevance to both Mathematics and Computer Science and Algorithms. This subject forms a common foundation for rigorous Mathematical, Logical Reasoning and Proofs, as well as a formal introduction to abstract objects that are essential tools in an assortment of applications and effective computer implementations. Computing skills are now an integral part of almost all the Scientific fields, and students are very enthusiastic about being able to harness the full computing power of these tools. Further, this book also deep dives into the Automata Theory with various examples that illustrate the basic concepts and is substantiated with multiple diagrams. The book's vital feature is that it contains the practical implementation of the Automata Machine example through the JFLAP Tool. Courses on Discrete Structures and Automata theory are offered at most universities and colleges. What will you learn _ Understand the basic concepts of Sets and operations in Sets. _ Demonstrate different traversal techniques for Trees and Graphs. _ Deep dive into the concept of Mathematical Induction, Sets, Relations, Functions, Recursion, Graphs, Trees, Boolean Algebra, and Proof techniques. _ Understand the concept of Automata Machines in day to day life like the Elevator, Turnstile, Genetic Algorithms, Traffic lights, etc. _ Use the JFLAP tool to solve the various exercise problems related to automata theory. Who this book is for This book is a must-read to everyone interested in improving their concepts regarding Discrete Structure and Automata Theory. Table of Contents 1. Set Theory 2. Relations and Functions 3. Graph Theory 4. Trees 5. Algebraic Structure 6. Recursion and Recurrence Relations 7. Sorting 8. Queues 9. Introduction 10. Finite Automata Theory 11. Theory of Machines 12. Regular Language 13. Grammar 14. Pushdown Automata 15. Cellular Automata 16. Turning Machine 17. Problems Solving Using JFLAP Tool 18. Revision Questions

Download or read book Discrete Structures and Automata Theory written by Rakesh Dube and published by Alpha Science Int'l Ltd.. This book was released on 2006 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete Structures and Automata Theory is designed for an introductory course on formal languages, automata and discrete mathematics. Divided into two parts it covers discrete methods - stressing the finite nature in many problems and structures; combinatorics - the algebra of enumeration or coding and finite algebraic structures - effecting coding theory, method of enumeration, gating networks and combinatorial designs. It also discusses the applications of Automata Theory in Compiler design, Natural Language Processing and development of new programming languages.

Download or read book Algebraic and Structural Automata Theory written by B. Mikolajczak and published by Elsevier. This book was released on 1991-01-14 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Automata Theory is part of computability theory which covers problems in computer systems, software, activity of nervous systems (neural networks), and processes of live organisms development. The result of over ten years of research, this book presents work in the following areas of Automata Theory: automata morphisms, time-varying automata, automata realizations and relationships between automata and semigroups. Aimed at those working in discrete mathematics and computer science, parts of the book are suitable for use in graduate courses in computer science, electronics, telecommunications, and control engineering. It is assumed that the reader is familiar with the basic concepts of algebra and graph theory.

Download or read book Algebraic Theory of Automata Networks written by Pal Domosi and published by SIAM. This book was released on 2005-01-01 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Investigates automata networks as algebraic structures and develops their theory in line with other algebraic theories, such as those of semigroups, groups, rings, and fields. The authors also investigate automata networks as products of automata, that is, as compositions of automata obtained by cascading without feedback or with feedback of various restricted types or, most generally, with the feedback dependencies controlled by an arbitrary directed graph. They survey and extend the fundamental results in regard to automata networks, including the main decomposition theorems of Letichevsky, of Krohn and Rhodes, and of others.

Download or read book Discrete Mathematical Structures written by D. S. Malik and published by Course Technology Ptr. This book was released on 2004 with total page 905 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teaches students the mathematical foundations of computer science, including logic, Boolean algebra, basic graph theory, finite state machines, grammars and algorithms, and helps them understand mathematical reasoning for reading, comprehension and construction of mathematical arguments.

Download or read book Applied Discrete Structures written by Ken Levasseur and published by Lulu.com. This book was released on 2012-02-25 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied Discrete Structures, is a two semester undergraduate text in discrete mathematics, focusing on the structural properties of mathematical objects. These include matrices, functions, graphs, trees, lattices and algebraic structures. The algebraic structures that are discussed are monoids, groups, rings, fields and vector spaces. Website: http: //discretemath.org Applied Discrete Structures has been approved by the American Institute of Mathematics as part of their Open Textbook Initiative. For more information on open textbooks, visit http: //www.aimath.org/textbooks/. This version was created using Mathbook XML (https: //mathbook.pugetsound.edu/) Al Doerr is Emeritus Professor of Mathematical Sciences at UMass Lowell. His interests include abstract algebra and discrete mathematics. Ken Levasseur is a Professor of Mathematical Sciences at UMass Lowell. His interests include discrete mathematics and abstract algebra, and their implementation using computer algebra systems.

Download or read book Automata Theory with Modern Applications written by James A. Anderson and published by Cambridge University Press. This book was released on 2006-06-22 with total page 3 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent applications to biomolecular science and DNA computing have created a new audience for automata theory and formal languages. This is the only introductory book to cover such applications. It begins with a clear and readily understood exposition of the fundamentals that assumes only a background in discrete mathematics. The first five chapters give a gentle but rigorous coverage of basic ideas as well as topics not found in other texts at this level, including codes, retracts and semiretracts. Chapter 6 introduces combinatorics on words and uses it to describe a visually inspired approach to languages. The final chapter explains recently-developed language theory coming from developments in bioscience and DNA computing. With over 350 exercises (for which solutions are available), many examples and illustrations, this text will make an ideal contemporary introduction for students; others, new to the field, will welcome it for self-learning.

Download or read book Essential Discrete Mathematics for Computer Science written by Harry Lewis and published by Princeton University Press. This book was released on 2019-03-19 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete mathematics is the basis of much of computer science, from algorithms and automata theory to combinatorics and graph theory. Essential Discrete Mathematics for Computer Science aims to teach mathematical reasoning as well as concepts and skills by stressing the art of proof. It is fully illustrated in color, and each chapter includes a concise summary as well as a set of exercises.

Download or read book Discrete Structures Logic and Computability written by James L. Hein and published by Jones & Bartlett Learning. This book was released on 2001 with total page 976 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete Structure, Logic, and Computability introduces the beginning computer science student to some of the fundamental ideas and techniques used by computer scientists today, focusing on discrete structures, logic, and computability. The emphasis is on the computational aspects, so that the reader can see how the concepts are actually used. Because of logic's fundamental importance to computer science, the topic is examined extensively in three phases that cover informal logic, the technique of inductive proof; and formal logic and its applications to computer science.

Download or read book Handbook of Finite State Based Models and Applications written by Jiacun Wang and published by CRC Press. This book was released on 2016-04-19 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applicable to any problem that requires a finite number of solutions, finite state-based models (also called finite state machines or finite state automata) have found wide use in various areas of computer science and engineering. Handbook of Finite State Based Models and Applications provides a complete collection of introductory materials on fini

Download or read book Automata and Computability written by Dexter C. Kozen and published by Springer. This book was released on 2013-11-11 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: These are my lecture notes from CS381/481: Automata and Computability Theory, a one-semester senior-level course I have taught at Cornell Uni versity for many years. I took this course myself in thc fall of 1974 as a first-year Ph.D. student at Cornell from Juris Hartmanis and have been in love with the subject ever sin,:e. The course is required for computer science majors at Cornell. It exists in two forms: CS481, an honors version; and CS381, a somewhat gentler paced version. The syllabus is roughly the same, but CS481 go es deeper into thc subject, covers more material, and is taught at a more abstract level. Students are encouraged to start off in one or the other, then switch within the first few weeks if they find the other version more suitaLle to their level of mathematical skill. The purpose of t.hc course is twofold: to introduce computer science students to the rieh heritage of models and abstractions that have arisen over the years; and to dew!c'p the capacity to form abstractions of their own and reason in terms of them.

Download or read book Discrete Mathematics with Applications Metric Edition written by Susanna Epp and published by . This book was released on 2019 with total page 984 pages. Available in PDF, EPUB and Kindle. Book excerpt: DISCRETE MATHEMATICS WITH APPLICATIONS, 5th Edition, Metric Edition explains complex, abstract concepts with clarity and precision and provides a strong foundation for computer science and upper-level mathematics courses of the computer age. Author Susanna Epp presents not only the major themes of discrete mathematics, but also the reasoning that underlies mathematical thought. Students develop the ability to think abstractly as they study the ideas of logic and proof. While learning about such concepts as logic circuits and computer addition, algorithm analysis, recursive thinking, computability, automata, cryptography and combinatorics, students discover that the ideas of discrete mathematics underlie and are essential to today's science and technology.

Download or read book Problems and Exercises in Discrete Mathematics written by G.P. Gavrilov and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many years of practical experience in teaching discrete mathematics form the basis of this text book. Part I contains problems on such topics as Boolean algebra, k-valued logics, graphs and networks, elements of coding theory, automata theory, algorithms theory, combinatorics, Boolean minimization and logical design. The exercises are preceded by ample theoretical background material. For further study the reader is referred to the extensive bibliography. Part II follows the same structure as Part I, and gives helpful hints and solutions. Audience:This book will be of great value to undergraduate students of discrete mathematics, whereas the more difficult exercises, which comprise about one-third of the material, will also appeal to postgraduates and researchers.

Download or read book Programming Based Formal Languages and Automata Theory written by Marco T. Morazán and published by Springer Nature. This book was released on 2023-12-18 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook introduces formal languages and automata theory for upper-level undergraduate or beginning graduate students. While it contains the traditional mathematical development usually employed in computational theory courses, it is also quite different from many of them. Machines, grammars, and algorithms developed as part of a constructive proof are intended to be rendered as programs. The book is divided into four parts that build on each other. Part I reviews fundamental concepts. It introduces programming in FSM and reviews program design. In addition, it reviews essential mathematical background on sets, relations, and reasoning about infinite sets. Part II starts the study of formal languages and automata theory in earnest with regular languages. It first introduces regular expressions and shows how they are used to write programs that generate words in a regular language. Given that regular expressions generate words, it is only natural to ask how a machine can recognize words in a regular language. This leads to the study of deterministic and nondeterministic finite-state machines. Part III starts the exploration of languages that are not regular with context-free languages. It begins with context-free grammars and pushdown automata to generate and recognize context-free languages, and it ends with a discussion of deterministic pushdown automata and illustrates why these automatons are fundamentally different from nondeterministic pushdown automata. Part IV eventually explores languages that are not context-free, known as context-sensitive languages. It starts by discussing the most powerful automaton known to mankind: the Turing machine. It then moves to grammars for context-sensitive languages, and their equivalence with Turing machines is explored. The book ends with a brief chapter introducing complexity theory and explores the question of determining if a solution to a problem is practical.

Download or read book DISCRETE MATHEMATICAL STRUCTURES written by R. M. SOMASUNDARAM and published by PHI Learning Pvt. Ltd.. This book was released on 2003-01-01 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a comprehensive text book covering various aspects of Discrete Mathematics. It suits the needs of the students of B.E./B.Tech., M.E., M.Sc. (Computer Science) and MCA

Download or read book Computation Engineering written by Ganesh Gopalakrishnan and published by Springer Science & Business Media. This book was released on 2006-09-10 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although it is critical in today’s world that students who take automata theory and logic courses retain what they have learned and understand how to use their knowledge, many textbooks typically emphasize automata theory only, not logic, thus losing a valuable opportunity to tie these subjects together and reinforce learning. This textbook uses interactive tools throughout, such as simple BDD and SAT tools. By providing a blend of theory and practical applications the material is presented as both inviting and current. Key concepts are illustrated in multiple domains so that information is reinforced and students can begin to tie theory and logic together.

Download or read book ADVANCED DISCRETE MATHEMATICS written by UDAY SINGH RAJPUT and published by PHI Learning Pvt. Ltd.. This book was released on 2012-05-26 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in an accessible style, this text provides a complete coverage of discrete mathematics and its applications at an appropriate level of rigour. The book discusses algebraic structures, mathematical logic, lattices, Boolean algebra, graph theory, automata theory, grammars and recurrence relations. It covers the important topics such as coding theory, Dijkstra’s shortest path algorithm, reverse polish notation, Warshall’s algorithm, Menger’s theorem, Turing machine, and LR(k) parsers, which form a part of the fundamental applications of discrete mathematics in computer science. In addition, Pigeonhole principle, ring homomorphism, field and integral domain, trees, network flows, languages, and recurrence relations. The text is supported with a large number of examples, worked-out problems and diagrams that help students understand the theoretical explanations. The book is intended as a text for postgraduate students of mathematics, computer science, and computer applications. In addition, it will be extremely useful for the undergraduate students of computer science and engineering.