Theory Of Computation by Dr Amol Prakash Bhagat

Free Download Theory Of Computation by Dr Amol Prakash Bhagat
Published 11/2023
MP4 | Video: h264, 1920×1080 | Audio: AAC, 44.1 KHz
Language: English | Size: 12.22 GB | Duration: 30h 18m
Machines and Models

What you’ll learn
Construction of finite state machines to solve problems in computing
Regular expressions for the formal languages
Construct and analyze Push Down, Turing Machine, Linear Bounded Automata for formal languages
Understanding of the Chomsky Hierarchy
Decidability and un-decidability problems
Requirements
No experience needed. You will learn everything you need to know.
Description
Finite State Machines: Alphabet, String, Formal and Natural Language, Operations, Definition and Design DFA (Deterministic Finite Automata), NFA (Non Deterministic Finite Automata), Equivalence of NFA and DFA: Conversion of NFA into DFA, Conversion of NFA with epsilon moves to NFA, Minimization of DFA, Definition and Construction of Moore and Mealy Machines, Inter-conversion between Moore and Mealy Machines. Minimization of Finite Automata. (Construction of Minimum Automaton)Regular Expression and Regular Grammar: Definition and Identities of Regular Expressions, Construction of Regular Expression of the given Language, Construction of Language from the RE, Conversion of FA to RE using Arden’s Theorem, Inter-conversion RE to FA, Pumping Lemma for RL, Closure properties of RLs, Regular grammar, Equivalence of RG ( RLG and LLG) and FAContext Free Grammar and Languages: Introduction, Formal Definition of Grammar, Notations, Derivation Process: Leftmost Derivation, Rightmost Derivation, Derivation Trees, Construction of Context-Free Grammars and Languages, Pumping Lemma for CFL, Simplification of CFG, Normal Forms (CNF and GNF), Chomsky HierarchyPushdown Automata: Introduction and Definition of PDA, Construction of PDA, Acceptance of CFL, Equivalence of CFL and PDA: Inter-conversion , Introduction of DCFL and DPDA, Enumeration of properties of CFL, Context Sensitive Language, Linear Bounded AutomataTuring Machines: Formal definition of a Turing Machine, Design of TM, Computable Functions, Church’s hypothesis, Counter machine, Variants of Turing Machines: Multi-tape Turing machines, Universal Turing MachineDecidability and Un-Decidability: Decidability of Problems, Halting Problem of TM, Un-Decidability: Recursive enumerable language, Properties of recursive & non-recursive enumerable languages, Post Correspondence Problem, Introduction to Recursive Function Theory
Overview
Section 1: Finite State Machines
Lecture 1 Introduction
Lecture 2 Theory of Computation, Alphabets, Strings, Languages
Lecture 3 Operations
Lecture 4 Finite Automaton
Lecture 5 A 4 bit shift register as finite state machine
Lecture 6 Block Diagram of a Finite Automaton
Lecture 7 Description of Finite Automaton
Lecture 8 String Processing by Finite Automaton
Lecture 9 Language of a Finite Automaton
Lecture 10 Examples – String Acceptability and Language of a Finite Automaton
Lecture 11 Deterministic and Nondeterministic Finite Automata, DFA, NFA, NDFA
Lecture 12 Acceptance of String by Nondeterministic Finite Automata, NFA, NDFA
Lecture 13 Converting NFA to DFA
Lecture 14 Construction of a Finite Automaton
Lecture 15 Finite Automata with Outputs, Moore Machine, Mealy Machine
Lecture 16 Conversion of Moore Machine to Equivalent Mealy Machine
Lecture 17 Conversion of Mealy Machine to Equivalent Moore Machine
Lecture 18 Minimization of Finite Automata
Lecture 19 Example – Minimization of Finite Automata
Lecture 20 Section 1: Practice Examples
Section 2: Regular Expression and Regular Grammar
Lecture 21 Regular Expression, Regular Set, Regular Language, Finite Automata
Lecture 22 Correspondence between Regular Expression and Regular Set
Lecture 23 Example: Correspondence between Regular Expression and Regular Set
Lecture 24 Examples: Regular Expression for Regular Set or Regular Language
Lecture 25 Examples: Regular Expression for Regular Set or Regular Language
Lecture 26 Examples: Regular Expression, Regular Set, Regular Language
Lecture 27 Examples: Finite Automaton Corresponding to given Regular Expression
Lecture 28 Transition System Containing Ԑ- Moves
Lecture 29 Eliminating Ԑ- Moves
Lecture 30 Arden’s Theorem
Lecture 31 Arden’s Theorem: Finding Regular Expression from Finite Automaton
Lecture 32 Equivalence of Two Finite Automata
Lecture 33 Example: Equivalence of Two Finite Automata
Lecture 34 Closure Properties of Regular Languages
Lecture 35 Finite Automaton for Concatenation of Languages
Lecture 36 Finite Automaton for Transpose of a Language and Reverse of a Language
Lecture 37 Finite Automaton for Complement of a Language
Lecture 38 Finite Automaton for Kleen’s Star of a Language
Lecture 39 Regular Grammar, Construction of a Regular Grammar Generating L(M)
Lecture 40 Construction of a Transition System M Accepting L(G) for a given Regular Grammar
Lecture 41 Section 2: Practice Examples
Section 3: Context Free Grammar and Languages
Lecture 42 Context Free Grammars
Lecture 43 Derivation Trees, Context Free Grammars
Lecture 44 Leftmost Derivation, Rightmost Derivation, Derivation Trees
Lecture 45 Ambiguity in Context Free Grammars, Ambiguous Context Free Grammar
Lecture 46 Designing Context Free Grammar for the given Language
Lecture 47 Chomsky Classification of Grammar
Lecture 48 Construction of Reduced Grammars: Part 1
Lecture 49 Construction of Reduced Grammars: Part 2
Lecture 50 Construction of Reduced Grammars: Part 3
Lecture 51 Elimination of Null Productions
Lecture 52 Elimination of Unit Productions from Context Free Grammar
Lecture 53 Reduction to Chomsky Normal Form
Lecture 54 Greibach Normal Form
Lecture 55 Section 3: Practice Examples
Section 4: Pushdown Automata
Lecture 56 Designing Pushdown Automata for given Context Free Language
Lecture 57 Examples on Push Down Automata
Lecture 58 Obtaining PDA from CFG
Lecture 59 Obtaining Context Free Grammar from Pushdown Automata
Lecture 60 GATE Questions
Lecture 61 Section 4: Practice Examples
Section 5: Turing Machines
Lecture 62 Turing Machine, Turing Machine Model, String Processing in Turing Machine
Lecture 63 Designing a Turing Machine for given Language
Lecture 64 Designing Turing Machine for Given Language
Lecture 65 Designing Turing Machine for Given Language
Lecture 66 Designing a Turing Machine
Lecture 67 Linear Bounded Automata, Model of Linear Bounded Automata
Lecture 68 Obtaining Grammar for Turing Machine, Obtaining Grammar for LBA
Lecture 69 Section 5: Practice Examples
Section 6: Decidability and Un-Decidability
Lecture 70 Recursive and Non Recursive Languages
Lecture 71 Post Correspondence Problem, PCP, Finding whether the PCP has a solution
Lecture 72 Primitive Recursive Functions, Recursive Function Theory, Initial Functions
Lecture 73 Section 6: Practice Examples
Undergraduate and Post Graduate Students

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