Logic in computer science

Logic in computer science

Logic in computer science describes topics where logic is applied to computer science and artificial intelligence. These include:

*Investigations into logic that are guided by applications in computer science. For example: Combinatory logic and Abstract interpretation;
*Boolean logic, for the circuits used in computer processors.
*Fundamental concepts in computer science that are naturally expressible in formal logic. For example: Formal semantics of programming languages, Hoare logic, and Logic programming;
*Aspects of the theory of computation that cast light on fundamental questions of formal logic. For example: Curry-Howard correspondence and Game semantics;
*Tools for logicians considered as computer science. For example: Automated theorem proving and Model checking;
*Logics of knowledge and beliefs (of human and artificial agents);
*Logics for spatial reasoning, e.g. about moving in Euclidean space (which should not be confused with spatial logics used for concurrent systems);
*Formal methods and logics for reasoning about computation. For example predicate logic and logical frameworks are used for proving programs correct, and logics such as temporal logic and spatial logics are used for reasoning about interaction between concurrent and distributed processes. Program logics often are modal logics, e.g. dynamic logic or Hennessy-Milner logic;
*Specification languages provide a basis for formal software development; in this context, the notion of institution has been developed as an abstract formalization of the notion of logical system, with the goal of handling the "population explosion" of logics used in computer science.

The study of basic mathematical logic such as propositional logic and predicate logic (normally in conjunction with set theory) is considered an important theoretical underpinning to any undergraduate computer science course. Higher order logic is not normally taught, but is important in theorem proving tools like HOL.

Books

* "Mathematical Logic for Computer Science" by Mordechai Ben-Ari. Springer-Verlag, 2nd edition, 2003. ISBN 1-85233-319-7.
* " [http://www.cs.bham.ac.uk/research/lics/ Logic in Computer Science: Modelling and Reasoning about Systems] " by Michael Huth, Mark Ryan. Cambridge University Press, 2nd edition, 2004. ISBN 0-521-54310-X.
* "Logic for Mathematics and Computer Science" by Stanley N. Burris. Prentice Hall, 1997. ISBN 0-13-285974-2.

External links

* [http://plato.stanford.edu/entries/logic-ai/ Article on "Logic and Artificial Intelligence"] at the Stanford Encyclopedia of Philosophy.
* [http://www.informatik.hu-berlin.de/lics/ IEEE Symposium on Logic in Computer Science] (LICS)


Wikimedia Foundation. 2010.

Поможем написать реферат

Look at other dictionaries:

  • Category:Logic in computer science — Logic in computer science is that branch of mathematical logic which is approximately the intersection between mathematical logic and computer science. It contains: Those investigations into logic that are guided by applications in computer… …   Wikipedia

  • IEEE Symposium on Logic in Computer Science — The IEEE Symposium on Logic in Computer Science (LICS) is an annual academic conference on the theory and practice of computer science in relation to mathematical logic. Extended versions of selected papers of each year s coference appear in… …   Wikipedia

  • computer science — computer scientist. the science that deals with the theory and methods of processing information in digital computers, the design of computer hardware and software, and the applications of computers. [1970 75] * * * Study of computers, their… …   Universalium

  • Computer science — or computing science (abbreviated CS) is the study of the theoretical foundations of information and computation and of practical techniques for their implementation and application in computer systems. Computer scientists invent algorithmic… …   Wikipedia

  • Computer Science House — (CSH) is a special interest house founded in 1976 at the Rochester Institute of Technology, made up of a group of students who share an interest in computers, community and having fun. Despite its name, students from all majors are allowed to… …   Wikipedia

  • COMPUTER SCIENCE — The term Computer Science encompasses three different types of research areas: computability, efficiency, and methodology. General Introduction Computability deals with the question of what is mechanically computable. The most natural way to… …   Encyclopedia of Judaism

  • computer science — noun the branch of engineering science that studies (with the aid of computers) computable processes and structures • Syn: ↑computing • Topics: ↑computer, ↑computing machine, ↑computing device, ↑data processor, ↑electronic computer, ↑ …   Useful english dictionary

  • List of computer science conferences — This is a list of academic conferences in computer science. Most of these academic conferences are annual or bi annual events.The order with which the conferences are listed in their respective fields corresponds to a rough and non authoritative… …   Wikipedia

  • Theoretical computer science — is the collection of topics of computer science that focuses on the more abstract, logical and mathematical aspects of computing, such as the theory of computation, analysis of algorithms, and semantics of programming languages. Although not… …   Wikipedia

  • List of pioneers in computer science — This article presents a list of individuals who helped in the creation, development and imagining of what computers and electronics could do. Contents 1 See also 2 External links Person Achievement Ach. Date John Atanasoff Built the first… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”