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Subfields Mathematical foundations

   Coding theory – Useful in networking and other areas where computers communicate with each other.
   Game theory – Useful in artificial intelligence and cybernetics.
   Graph theory – Foundations for data structures and searching algorithms.
   Mathematical logic – Boolean logic and other ways of modeling logical queries; the uses and limitations of formal proof methods
   Number theory – Theory of the integers. Used in cryptography as well as a test domain in artificial intelligence.

Algorithms and data structures

   Algorithms – Sequential and parallel computational procedures for solving a wide range of problems.
   Data structures – The organization and manipulation of data.

Artificial intelligence Main article: Outline of artificial intelligence

   Artificial intelligence – The implementation and study of systems that exhibit an autonomous intelligence or behavior of their own.
   Automated reasoning – Solving engines, such as used in Prolog, which produce steps to a result given a query on a fact and rule database, and automated theorem provers that aim to prove mathematical theorems with some assistance from a programmer.
   Computer vision – Algorithms for identifying three-dimensional objects from a two-dimensional picture.
   Soft computing, the use of inexact solutions for otherwise extremely difficult problems:
       Machine learning - Automated creation of a set of rules and axioms based on input.
       Evolutionary computing - Biologically inspired algorithms.
   Natural language processing - Building systems and algorithms that analyze, understand, and generate natural (human) languages.
   Robotics – Algorithms for controlling the behaviour of robots.

Communication and security

   Networking – Algorithms and protocols for reliably communicating data across different shared or dedicated media, often including error correction.
   Computer security – Practical aspects of securing computer systems and computer networks.
   Cryptography – Applies results from complexity, probability, algebra and number theory to invent and break codes, and analyze the security of cryptographic protocols.

Computer architecture

   Computer architecture – The design, organization, optimization and verification of a computer system, mostly about CPUs and Memory subsystem (and the bus connecting them).
   Operating systems – Systems for managing computer programs and providing the basis of a usable system.

Computer graphics

   Computer graphics – Algorithms both for generating visual images synthetically, and for integrating or altering visual and spatial information sampled from the real world.
   Image processing – Determining information from an image through computation.

Concurrent, parallel, and distributed systems

   Parallel computing - The theory and practice of simultaneous computation; data safety in any multitasking or multithreaded environment.
   Concurrency (computer science) – Computing using multiple concurrent threads of execution, devising algorithms for solving problems on multiple processors to achieve maximal speed-up compared to sequential execution.
   Distributed computing – Computing using multiple computing devices over a network to accomplish a common objective or task and thereby reducing the latency involved in single processor contributions for any task.

Databases

   Relational databases – the set theoretic and algorithmic foundation of databases.
   Structured Storage - non-relational databases such as NoSQL databases.
   Data mining – Study of algorithms for searching and processing information in documents and databases; closely related to information retrieval.

Programming languages and compilers

   Compiler theory – Theory of compiler design, based on Automata theory.
   Programming language pragmatics – Taxonomy of programming languages, their strength and weaknesses. Various programming paradigms, such as object-oriented programming.
   Programming language theory
   Formal semantics – rigorous mathematical study of the meaning of programs.
   Type theory – Formal analysis of the types of data, and the use of these types to understand properties of programs — especially program safety.

Scientific computing

   Computational science – constructing mathematical models and quantitative analysis techniques and using computers to analyze and solve scientific problems.
   Numerical analysis – Approximate numerical solution of mathematical problems such as root-finding, integration, the solution of ordinary differential equations; the approximation of special functions.
   Symbolic computation – Manipulation and solution of expressions in symbolic form, also known as Computer algebra.
   Computational physics – Numerical simulations of large non-analytic systems
   Computational chemistry – Computational modelling of theoretical chemistry in order to determine chemical structures and properties
   Bioinformatics and Computational biology – The use of computer science to maintain, analyse, store biological data and to assist in solving biological problems such as Protein folding, function prediction and Phylogeny.
   Computational neuroscience – Computational modelling of neurophysiology.

Software engineering

   Formal methods – Mathematical approaches for describing and reasoning about software designs.
   Software engineering – The principles and practice of designing, developing, and testing programs, as well as proper engineering practices.
   Algorithm design – Using ideas from algorithm theory to creatively design solutions to real tasks.
   Computer programming – The practice of using a programming language to implement algorithms.
   Human–computer interaction – The study and design of computer interfaces that people use.
   Reverse engineering – The application of the scientific method to the understanding of arbitrary existing software.

Theory of computation Main article: Theory of computation

   Automata theory – Different logical structures for solving problems.
   Computability theory – What is calculable with the current models of computers. Proofs developed by Alan Turing and others provide insight into the possibilities of what may be computed and what may not.
       List of unsolved problems in computer science
   Computational complexity theory – Fundamental bounds (especially time and storage space) on classes of computations.
   Quantum computing theory – Explores computational models involving quantum superposition of bits.
Coding theory – Useful in networking and other areas where computers communicate with each other.
  Game theory – Useful in artificial intelligence and cybernetics.
  Graph theory – Foundations for data structures and searching algorithms.
  Mathematical logic – Boolean logic and other ways of modeling logical queries; the uses and limitations of formal proof methods
  Number theory – Theory of the integers. Used in cryptography as well as a test domain in artificial intelligence.

Algorithms and data structures

  Algorithms – Sequential and parallel computational procedures for solving a wide range of problems.
  Data structures – The organization and manipulation of data.

Artificial intelligence Main article: Outline of artificial intelligence

  Artificial intelligence – The implementation and study of systems that exhibit an autonomous intelligence or behavior of their own.
  Automated reasoning – Solving engines, such as used in Prolog, which produce steps to a result given a query on a fact and rule database, and automated theorem provers that aim to prove mathematical theorems with some assistance from a programmer.
  Computer vision – Algorithms for identifying three-dimensional objects from a two-dimensional picture.
  Soft computing, the use of inexact solutions for otherwise extremely difficult problems:
      Machine learning - Automated creation of a set of rules and axioms based on input.
      Evolutionary computing - Biologically inspired algorithms.
  Natural language processing - Building systems and algorithms that analyze, understand, and generate natural (human) languages.
  Robotics – Algorithms for controlling the behaviour of robots.

Communication and security

  Networking – Algorithms and protocols for reliably communicating data across different shared or dedicated media, often including error correction.
  Computer security – Practical aspects of securing computer systems and computer networks.
  Cryptography – Applies results from complexity, probability, algebra and number theory to invent and break codes, and analyze the security of cryptographic protocols.

Computer architecture

  Computer architecture – The design, organization, optimization and verification of a computer system, mostly about CPUs and Memory subsystem (and the bus connecting them).
  Operating systems – Systems for managing computer programs and providing the basis of a usable system.

Computer graphics

  Computer graphics – Algorithms both for generating visual images synthetically, and for integrating or altering visual and spatial information sampled from the real world.
  Image processing – Determining information from an image through computation.

Concurrent, parallel, and distributed systems

  Parallel computing - The theory and practice of simultaneous computation; data safety in any multitasking or multithreaded environment.
  Concurrency (computer science) – Computing using multiple concurrent threads of execution, devising algorithms for solving problems on multiple processors to achieve maximal speed-up compared to sequential execution.
  Distributed computing – Computing using multiple computing devices over a network to accomplish a common objective or task and thereby reducing the latency involved in single processor contributions for any task.

Databases

  Relational databases – the set theoretic and algorithmic foundation of databases.
  Structured Storage - non-relational databases such as NoSQL databases.
  Data mining – Study of algorithms for searching and processing information in documents and databases; closely related to information retrieval.

Programming languages and compilers

  Compiler theory – Theory of compiler design, based on Automata theory.
  Programming language pragmatics – Taxonomy of programming languages, their strength and weaknesses. Various programming paradigms, such as object-oriented programming.
  Programming language theory
  Formal semantics – rigorous mathematical study of the meaning of programs.
  Type theory – Formal analysis of the types of data, and the use of these types to understand properties of programs — especially program safety.

Scientific computing

  Computational science – constructing mathematical models and quantitative analysis techniques and using computers to analyze and solve scientific problems.
  Numerical analysis – Approximate numerical solution of mathematical problems such as root-finding, integration, the solution of ordinary differential equations; the approximation of special functions.
  Symbolic computation – Manipulation and solution of expressions in symbolic form, also known as Computer algebra.
  Computational physics – Numerical simulations of large non-analytic systems
  Computational chemistry – Computational modelling of theoretical chemistry in order to determine chemical structures and properties
  Bioinformatics and Computational biology – The use of computer science to maintain, analyse, store biological data and to assist in solving biological problems such as Protein folding, function prediction and Phylogeny.
  Computational neuroscience – Computational modelling of neurophysiology.

Software engineering

  Formal methods – Mathematical approaches for describing and reasoning about software designs.
  Software engineering – The principles and practice of designing, developing, and testing programs, as well as proper engineering practices.
  Algorithm design – Using ideas from algorithm theory to creatively design solutions to real tasks.
  Computer programming – The practice of using a programming language to implement algorithms.
  Human–computer interaction – The study and design of computer interfaces that people use.
  Reverse engineering – The application of the scientific method to the understanding of arbitrary existing software.

Theory of computation Main article: Theory of computation

  Automata theory – Different logical structures for solving problems.
  Computability theory – What is calculable with the current models of computers. Proofs developed by Alan Turing and others provide insight into the possibilities of what may be computed and what may not.
      List of unsolved problems in computer science
  Computational complexity theory – Fundamental bounds (especially time and storage space) on classes of computations.
  Quantum computing theory – Explores computational models involving quantum superposition of bit