Computation Engineering Applied Automata Theory and Logic

Many Computation Engineering textbooks emphasize automata theory only, not logic, losing a the opportunity to tie these subjects together and reinforce learning. This textbook ties theory and logic together, using interactive tools, such as simple BDD and SAT tools. By providing a blend of theory an...

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Main Author Gopalakrishnan, Ganesh
Format eBook Book
LanguageEnglish
Published Netherlands Springer Nature 2006
Springer
Springer US
Edition1
Subjects
Online AccessGet full text
ISBN0387325204
9780387325200
0387244182
9780387244181
1441937412
9781441937414
DOI10.1007/0-387-32520-4

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Abstract Many Computation Engineering textbooks emphasize automata theory only, not logic, losing a the opportunity to tie these subjects together and reinforce learning. This textbook ties theory and logic together, using interactive tools, 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.
AbstractList Many Computation Engineering textbooks emphasize automata theory only, not logic, losing a the opportunity to tie these subjects together and reinforce learning. This textbook ties theory and logic together, using interactive tools, 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.
The computer hardware and software industry is committed to using formal methods. As a result, it is crucial that students who take automata theory and logic courses retain what they have learned and understand how to use their knowledge. Yet many textbooks typically emphasize automata theory only, not logic, thus losing a valuable opportunity to tie these subjects together and reinforce learning. In fact, automata theory and logic evolved hand-in-hand, yet this connection was severed in the '70s as separate automata-theory and logic courses became possible. Now, with computer science departments suffering from overcrowded syllabi, it is often possible for undergraduates to get a BS without having had to take a course in mathematical logic! Today's students want to know how knowledge can work for them -- learning theory as a tool is preferable to learning theory for theory's sake. To prove that theoretical tenents are not only applicable, but also necessary and relevant, useful examples must be presented. 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 shown to be both inviting and current.Topics are also illustrated inmultiple domains so that information is reinforced and students can begin to tie theory and logic together. Having used this book, students will not only know and understand automata theory, but also be able to applytheir knowledge in real practice.
Author Gopalakrishnan, Ganesh
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Snippet Many Computation Engineering textbooks emphasize automata theory only, not logic, losing a the opportunity to tie these subjects together and reinforce...
The computer hardware and software industry is committed to using formal methods. As a result, it is crucial that students who take automata theory and logic...
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SubjectTerms Circuits and Systems
Computer logic
Computer Science
Data processing Computer science
Electrical Engineering
Machine theory
Mathematical Logic and Formal Languages
Mathematics
Theory of Computation
Subtitle Applied Automata Theory and Logic
TableOfContents Intro -- Contents -- List of Figures -- Foreword -- Preface -- 1 Introduction -- 2 Mathematical Preliminaries -- 3 Cardinalities and Diagonalization -- 4 Binary Relations -- 5 Mathematical Logic, Induction, Proofs -- 6 Dealing with Recursion -- 7 Strings and Languages -- 8 Machines, Languages, DFA -- 9 NFA and Regular Expressions -- 10 Operations on Regular Machinery -- 11 The Automaton/Logic Connection, Symbolic Techniques -- 12 The 'Pumping' Lemma -- 13 Context-free Languages -- 14 Push-down Automata and Context-free Grammars -- 15 Turing Machines -- 16 Basic Undecidability Proofs -- 17 Advanced Undecidability Proofs -- 18 Basic Notions in Logic including SAT -- 19 Complexity Theory and NP-Completeness -- 20 DFA for Presburger Arithmetic -- 21 Model Checking: Basics -- 22 Model Checking: Temporal Logics -- 23 Model Checking: Algorithms -- 24 Conclusions -- A Book web site and tool information -- B BED Solution to the tic-tac-toe problem -- References -- Index
Title Computation Engineering
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