Automata | Comp. Sc. Engg.

This book covers essential topics, including finite automata, context-free grammars, Turing machines, and computational complexity. Each chapter offers clear explanations, practical examples, and illustrative diagrams, making complex concepts accessible and easy to understand. Readers will find comprehensive insights that enhance their grasp of theoretical foundations and practical applications in computer science.

• Introduction To Automata Theory And Formal Languages
• Equivalence Of Nfa And Dfa
• Operations On Languages
• Regular Expressions And Languages
• Closure Properties Of Regular Languages
• Properties Of Regular Sets (Languages)
• Exampleof Non Deterministic Finite Automata
• Two-way Finite Automata
• Finite Automata
• Deterministic Finite State Automaton (Dfa)
• Languages
• Grammar
• Relations And Functions
• Sets
• Machines
• Graphs
• Asymptotic Behavior Of Functions
• Regular Expressions
• Kleene Star, ‘∗’
• Conversion Of Nfa To Dfa
• Nondeterministic Finite Automaton
• Mealy And Moore Machine
• Strings And Languages
• Boolean Logic
• Homomorphism
• Machine Types That Accept Non-regular Languages
• Orders For Strings
• Pumping Lemma
• Nfa With ε-Moves
• Nfas To Regular Expression
• Myhill-nerode Theorem-1
• Building Regular Expressions
• The Power Of Dfas
• Finite Automata With Output
• Simplification Of Cfg
• Properties Of Context-free Languages
• A Pumping Lemma For Cfls
• Execution Of Npda
• Equivalence (Preorder Plus Symmetry)
• Transitive, And Related Notions
• Greibach Normal Form
• A Pumping Lemma For Cfls
• Right- And Left-linear Cfgs
• Relation Between Pda And Context Free Language
• Proof Of Pumping Lemma
• Error-correcting Dfas
• Ultimate Periodicity And Dfas
• Usage Of Pumping Lemma
• Developing Cfgs
• The Power Relation Between Machines
• Derivation Tree
• Conversion Of Left-linear Grammar Into Right-linear Grammar
• Pushdown Automata
• Introduction To Context-free Grammars
• Parsing
• Dicision Algorithms
• Cfg To Npda
• Normal Forms
• Npda To Cfg
• Binary Relation Basics
• Ambiguity
• Introduction To Push-down Automata
• A Taxonomy Of Formal Languages And Machines
• Transition Functions For Npda
• Stabilization At A Fixed-point
• Dealing With Recursion
• The Y Operator
• The Least Fixed-point
• The Automaton/logic Connection
• Basic Operations On Bdds
• Binary Decision Diagrams (Bdds)
• Logical Inference
• Context Sensitive Grammar And Languages
• Boolean Satisfiablity
• Quantifiers And Logical Operators
• Additional Np Problem
• Logical Identities
• Propositions
• Normal Forms
• Composition And Recursion
• Formal Systems
• Predicates And Quantifiers
• Connectives
• The Chomsky Hirarchy
• Polynomial Time Algorithm
• Unrestricted Grammar
• Introduction To Complexity Theory
• Tautology, Contradiction And Contingency
• Ackermann's Theorem
• Encoding Conventions
• Conversion Algorithm: Presburger Formulas To Automata
• Halting Problem
• Post’s Correspondence Problem (Pcp)
• Reactive Computing Systems
• Examples Of Interpretations
• Buchi Automata, And Verifying Safety And Liveness
• First-order Logic (Fol) And Validity
• Greibach’s Theorem
• Axiomatization Of Propositional Logic
• Presburger Formulas And Dfas
• Temporal Logics
• Dfa For Presburger Arithmetic
• Ltl Vs. Ctl Through An Example
• Dimacs File Encoding
• Model (Proctype) And Property (Never) Automata
• Properties Of Boolean Formulas
• Acceptance, Halting, Rejection
• Computations Vs. Computation Trees
• Cnf-conversion Using Gates
• Pitfalls To Avoid
• Pcp Is Undecidable
• Ctl Syntax
• Basic Undecidability Proofs
• Temporal Formulas Are Kripke Structure Classifiers
• Simulations Of Turing Machine
• Ndtms
• Validity Of First-order Logic Is Undecidable
• Model Checking Vs. Testing
• An Introduction To Model Checking
• 3-cnf, =-Satisfiability, And General Cnf
• Dining Philosophers
• Basic Notions In Logic Including Sat
• 2-cnf Satisfiability
• Overview Of Direct Dnf To Cnf Conversion
• Unsatisfiable Cnf Instances
• Proof Sketch Of The Undecidability Of Pcp
• Rice’s Theorem
• Enumerating Strings In A Language
• Turing Machine
• Programming A Turing Machine
• Church-turing Thesis
• Complete Language And Functions
• Modification Of Turing Machines
• Rice's Theorem
• Turing Machines As Transducers
• Ltl Syntax