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Theory of Computation
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Theory of Computation
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TopicNotesWhat is Theory of Computation?Theory of Computation is the study of the fundamental properties of computation and the
algorithms that carry out computations. It explores the limits and capabilities of computing
machines and helps us understand what problems can be solved using computers and what problems
cannot.
Key Concepts
The key concepts in Theory of Computation include automata theory, formal languages,
computability theory, and complexity theory.Automata TheoryAutomata theory deals with the
study of abstract machines or automata that perform computations. It includes the study of finite
automata, pushdown automata, and Turing machines, among others.
Formal Languages
Formal languages are used to represent the syntax and semantics of programming languages, as
well as natural languages. They are defined using formal grammars, which are sets of rules that
describe the structure of a language.
Computability Theory
Computability theory deals with the study of what problems can be solved algorithmically, and
what problems cannot. It includes the study of Church-Turing thesis, which states that any problem
that can be solved algorithmically can be solved by a Turing machine.
Complexity Theory
Complexity theory deals with the study of the inherent complexity of computational problems. It
helps us understand the time and space requirements of algorithms and the limitations of
computational power. It includes the study of P, NP, and NP-complete problems, among others.
Applications
Theory of Computation has numerous applications in computer science, including the development
of programming languages, compilers, operating systems, database systems, and cryptography,
among others. It is also used in the study of artificial intelligence, machine learning, and natural
language processing.
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