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.
Authored by Margaret Fleck and Sariel Har Peled, this
is a wide set of lecture notes on the theory of computation. These start with
the very basic objects such as strings and deterministic finite automata (DFAs)
before moving up to regular expressions and nondeterministic automata. This
course covers formal language theory, including some advanced topics such as
Turing machines, decidability, and several language-related problems. It is
intended that these notes afford a comprehensively broad yet deep exploration of
the formal languages, automata, and computability material with an excellent
bibliography that creates interest among students and researchers.
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 book, written for graduates, covers
general subjects on computational models, logic circuits, and memory machines,
with advanced subjects being parallel computation, circuit complexity, and
space-time trade-offs; therefore, it's a very thorough course on computational
models and their complexities.
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
broad-ranging notes introduce some of the fundamental concepts in the theory
of computation. The set starts with a brief introduction to formal languages
and their classification, including regular languages and sets. In these
notes, finite automata are introduced, discussing their structure and role in
recognizing regular languages. This is followed by Context-Free Grammars and
Pushdown Automata, focusing on the role in defining and recognizing
context-free languages. This will cover Turing Machines, the original model of
computation; a review of the Chomsky Hierarchy from a perspective on the
various levels of languages about their power of generation. The conclusion
deals with an overview of Complexity Theory, mainly dealing with the P and NP
problems. It gives insight into the computational complexity in general and
into the famous P vs NP questions.
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.