Introduction to Theoretical Computer Science or Theory of Computation
Introduction to Theoretical Computer Science or Theory of Computation
Introduction to Theoretical Computer Science or Theory of Computation
This note covers the following
topics: introduction to theoretical computer science, language, regular
language, finite automata, language accepted by dfa, nondeterministic finite
automata, equivalence of nfa, regular language and fa, application of fa,
nonregular languages, context free languages, turing machines, computability
and complexity.
Author(s): Pavan
Kumar Anumula, Andrea Di Fabio and Jia Zhu
Frank Stephan's
detailed lecture notes on the theory of computation cover quite a wide spectrum
of issues. The document starts with the basics of sets and regular expressions,
then goes ahead to grammars and the Chomsky hierarchy, helping one in
understanding the structure of languages. Then it discusses finite automaton and
nondeterministic finite automata, giving all details about the processing of
strings by these models. The notes also treat the composition of languages,
normal forms, and algorithms used in computation. Membership testing, whether
deterministic or nondeterministic, is also explained, together with the proof of
how models of computation handle language recognition. Finally, the approach is
important when considering complexity, the problems that turn out undecidable,
showing thus the intrinsic limits of computation. This is an important resource
concerning formal languages, automata theory, and basic bounds of
computability.
Introduction
to the Theory of Computing is a course that undertakes
an intensive study of the underpinnings of the theory of computation. Beginning
with mathematical foundations, the course moves into regular operations and
expressions, and then into proofs on languages being nonregular and other
further treatments on regular languages. Other important topics include parse
trees, ambiguity, Chomsky normal form, pushdown automata, and Turing machines.
Further, the PDF discusses various types of Turing machines, the stack machine
model, and undecidable languages, making it a great starting point in the topic
of computability.
This
book surveys some of the most relevant theoretical concepts with computational
models. The limits of computation, undecidability of the Halting Problem,
several automata models, including both deterministic and nondeterministic
finite-state automata, pushdown automata, and Turing machines, are introduced.
The ending is dedicated to computational complexity, with NP-Completeness,
approximation algorithms, and hardness of approximation.
This
is an all-inclusive course on computational theory provided in this online
resource by Wikiversity. It begins with Finite State Machines–their
definitions, operations, and minimization techniques. The notes also cover
closure and nondeterminism—how these properties may affect computational
models. Their discussion greatly involves the Pumping Lemma, proving language
property. The book also surveys Context-Free Languages and their connection to
Compilers and introduces Pushdown Machines emphatically and focuses on their
importance in parsing. It contains important material on the CYK algorithm for
parsing and the more basic problems of Undecidability. It also surveys Turing
Machines, the Halting Problem, and more general areas of Complexity Theory,
including Quantified Boolean Formulae, Savitch's Theorem, and Space Hierarchy.
The notes end with the Recursion Theorem, and it can be considered as a
landmark in the theoretical study of the science of computers.
These
lecture notes give an introduction to the more fundamental parts of the theory
of computation and begin by presenting finite automata: starting with
deterministic and nondeterministic finite automata, their equivalence, and
practical implications of these concepts. The lecture notes include sections
on regular expressions and their relationship to finite automata, non-regular
languages, and the Pumping Lemma to prove non-regularity. Myhill-Nerode
Theorem: For understanding recognition of languages. The notes go further to
present context-free languages, including their ambiguity and properties of
closure. The pumping lemma for context-free languages is also discussed, while
decidable and recognizable languages are informed by a deep underpinning in
computational theory.
This
is an advanced set of notes on the analysis of algorithms and their
complexity. Of interest in these notes are the topics on string matching
algorithms, such as Knuth-Morris-Pratt and Boyer-Moore. Suffix trees and
dictionary techniques are also part of the discussion here. Among the methods
to be shown in a way of analyzing algorithm efficiency are amortized analysis
and randomized algorithms. It also treats the pairing technique, Ziv-Lempel
coding; further topics on statistical adversaries, portfolio selection, and
reservation-price policies that are objects of other techniques discussed
herein.