Introduction to the Theory of Computation Lecture Notes and Exercises

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Introduction to the Theory of Computation Lecture Notes and Exercises

Introduction to the Theory of Computation Lecture Notes and Exercises

This lecture notes contains following topics: Lecture Notes and
Exercises for CSC, Overview of this Course, Prerequisite Knowledge, The
Induction Idea, Complete Induction, Beyond Numbers, Structural Induction, A
Larger Example, Exercises, Measuring Runtime, A Simple Recursive Function, A
Special Recurrence Form, Quicksort, Exercises, Correctness of Recursive
Programs, Iterative Programs, Termination, Exercises, Regular Languages, A
Suggestive Flowchart, Deterministic Finite Automata, Correctness of DFAs,
Limitations of DFAs, Nondeterminism, Exercises, introduction to the theory of
computation, Concepts from MAT, introduction to the theory of computation

This lecture notes contains following topics: Lecture Notes and
Exercises for CSC, Overview of this Course, Prerequisite Knowledge, The
Induction Idea, Complete Induction, Beyond Numbers, Structural Induction, A
Larger Example, Exercises, Measuring Runtime, A Simple Recursive Function, A
Special Recurrence Form, Quicksort, Exercises, Correctness of Recursive
Programs, Iterative Programs, Termination, Exercises, Regular Languages, A
Suggestive Flowchart, Deterministic Finite Automata, Correctness of DFAs,
Limitations of DFAs, Nondeterminism, Exercises, introduction to the theory of
computation, Concepts from MAT, introduction to the theory of computation

This note
describes the following topics: Finite State Machines, Closure and
Nondeterminism, The Pumping Lemma, Minimizing FSMs, Context Free Languages,
CFLs and compilers, Recitation, Pushdown Machines, CFGs and NPDMs, CYK
algorithm, Undecidability and CFLs, Turing Machines, Halting Problem,
Decidability, Complexity Theory, Quantified Boolean Formula, Savitch's
Theorem, Space Hierarchy, Recursion Theorem.

This note covers the following topics: Languages, Finite Automata,
Regular Languages and Sets, Context-Free Grammars, Pushdown Automata and
Context-Free Languages, Turing Machines, The Chomsky Hierarchy, P and NP.

This note
explains the theoretical computer science areas of formal languages and
automata, computability and complexity. Topics covered include: regular and
context-free languages, finite automata and pushdown automata, Turing
machines, Church's thesis, computability - halting problem, solvable and
unsolvable problems, space and time complexity, classes P, NP and PSPACE, NP-Completenes.

Author(s): The Australian National University, Canberra

This course is an introduction to
the Theory of Computation. Topics covered includes: Background Mathematics,
Models of Computation, Context-Free Grammars, Automata, The Chomsky
Hierarchy.

This lecture note covers the
following topics: Theory Of Computation, Introduction To Automata, Finite
Automata, Regular Expressions And Languages, Properties Of Regular Language,
Context-free Grammars And Languages, Applications Of Context-free Grammars,
Pushdown Automata, Properties of Context-Free Languages.

Author(s): Prof. D. Chandrasekhar Rao, Prof.
Kishore Kumar Sahu and Prof. Pradipta Kumar Das

This is a free textbook for an undergraduate course
on the Theory of Computation, which have been teaching at Carleton University
since 2002.Topics covered includes: Finite Automata and Regular Languages,
Context-Free Languages, Turing Machines and the Church-Turing Thesis,
Decidable and Undecidable Languages and Complexity Theory.

The aim of this course note
is to introduce several apparently different formalisations of the informal
notion of algorithm; to show that they are equivalent; and to use them to
demonstrate that there are incomputable functions and algorithmically
undecidable problems.