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Computation Engineering

Computation Engineering

Applied Automata Theory and Logic

Ganesh Lalitha Gopalakrishnan

472 pages, parution le 31/05/2006

Résumé

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.

Written for: Junior and senior level undergraduate students in Automata Theory, Formal Methods, and related courses; well-suited for broad coverage of applications of automata and logic for Grad classes; desk-reference for practicing formal verification engineers

Sommaire

  • Introduction
  • Mathematical Preliminaries
  • Cardinalities and Diagonalization
  • Binary Relations
  • Mathematical Logic, Induction, Proofs
  • Dealing with Recursion
  • Strings and Languages
  • Machines, Languages, DFA
  • NFA and Regular Expressions
  • Operations on Regular Machinery
  • The Automaton/Logic Connection, Symbolic Techniques
  • The `Pumping' Lemma
  • Context-free Languages
  • Push-down Automata and Context-free Grammars
  • Turing Machines
  • Basic Undecidability Proofs
  • Advanced Undecidability Proofs
  • Basic Notions in Logic including SAT
  • Complexity Theory and NP-Completeness
  • DFA for Presburger Arithmetic
  • Model Checking: Basics
  • Model Checking: Temporal Logics
  • Model Checking: Algorithms
  • Conclusions
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Caractéristiques techniques

  PAPIER
Éditeur(s) Springer
Auteur(s) Ganesh Lalitha Gopalakrishnan
Parution 31/05/2006
Nb. de pages 472
Format 16,5 x 24,5
Couverture Relié
Poids 980g
Intérieur Noir et Blanc
EAN13 9780387244181
ISBN13 978-0-387-24418-1

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