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Что (кто) такое computability theory - определение
STUDY OF COMPUTABLE FUNCTIONS AND TURING DEGREES
Computability Theory; Computability theory (computation); Ecursion theory; Theory of computability; Recursion theory; Computability theory (computer science); Continuous computability theory; Turing computability
Найдено результатов: 4922
computability theory
<mathematics> The area of theoretical computer science
concerning what problems can be solved by any computer.
A function is computable if an algorithm can be implemented
which will give the correct output for any valid input.
Since computer programs are countable but real numbers are
not, it follows that there must exist real numbers that
cannot be calculated by any program. Unfortunately, by
definition, there isn't an easy way of describing any of them!
In fact, there are many tasks (not just calculating real
numbers) that computers cannot perform. The most well-known
is the halting problem, the busy beaver problem is less
famous but just as fascinating.
["Computability", N.J. Cutland. (A well written
undergraduate-level introduction to the subject) ].
["The Turing Omnibus", A.K. Dewdeney ].
(1995-01-13)
Computability theory
Computability theory, also known as recursion theory, is a branch of mathematical logic, computer science, and the theory of computation that originated in the 1930s with the study of computable functions and Turing degrees. The field has since expanded to include the study of generalized computability and definability.
recursion theory
<theory> The study of problems that, in principle, cannot be
solved by either computers or humans.
[Proper definition? ]
(1999-03-01)
Theory of Computing
JOURNAL
Theory of Computing (journal); Theory Comput.; Theory Comput
Theory of Computing is a peer-reviewed open access scientific journal covering theoretical computer science. The journal was established in 2005 and is published by the Department of Computer Science of the University of Chicago.
Theory (mathematical logic)
SET OF SENTENCES IN A FORMAL LANGUAGE
First-order theory; Theory (model theory); Logical theory; Theory (logic); Supertheory; Subtheory; Logic theory; Deductive theory; Subtheories
In mathematical logic, a theory (also called a formal theory) is a set of sentences in a formal language. In most scenarios, a deductive system is first understood from context, after which an element \phi\in T of a deductively closed theory T is then called a theorem of the theory.
Organizational theory
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TYPE OF THEORY
Organization theory; Organisation theory; Organisational theory; Organizational theorist; Business theorist
A theory involves concepts or constructs that are related in such a way as to explain why certain phenomena occur. An organizational theory involves a set of concepts/constructs that are related to each other and explain how individuals behave in social units we call organizations.
Temporal theory (hearing)
THEORY OF THE MECHANISM OF HEARING
Rate theory; Rate theory (hearing); Temporal theory
The temporal theory of hearing states that human perception of sound depends on temporal patterns with which neurons respond to sound in the cochlea. Therefore, in this theory, the pitch of a pure tone is determined by the period of neuron firing patterns—either of single neurons, or groups as described by the volley theory.
information theory
![A picture showing scratches on the readable surface of a CD-R. Music and data CDs are coded using error correcting codes and thus can still be read even if they have minor scratches using [[error detection and correction]].](https://commons.wikimedia.org/wiki/Special:FilePath/CDSCRATCHES.jpg?width=200 "A picture showing scratches on the readable surface of a CD-R. Music and data CDs are coded using error correcting codes and thus can still be read even if they have minor scratches using [[error detection and correction]].")
MATHEMATICAL THEORY FROM THE FIELD OF PROBABILITY THEORY AND STATISTICS
Information Theory; Classical information theory; Shannon theory; Information theorist; Shannon information theory; Semiotic information theory; Semiotic information; Information-theoretic; Shannons theory; Shannon's information theory; Applications of information theory
¦ noun the mathematical study of the coding of information in the form of sequences of symbols, impulses, etc. and of how rapidly such information can be transmitted.
Emission theory
COMPETING THEORY
Emitter theory; Ballistic theory; Ritz's ballistic theory of light
Emission theory, also called emitter theory or ballistic theory of light, was a competing theory for the special theory of relativity, explaining the results of the Michelson–Morley experiment of 1887. Emission theories obey the principle of relativity by having no preferred frame for light transmission, but say that light is emitted at speed "c" relative to its source instead of applying the invariance postulate.
Information theory
MATHEMATICAL THEORY FROM THE FIELD OF PROBABILITY THEORY AND STATISTICS
Information Theory; Classical information theory; Shannon theory; Information theorist; Shannon information theory; Semiotic information theory; Semiotic information; Information-theoretic; Shannons theory; Shannon's information theory; Applications of information theory
Information theory is the scientific study of the quantification, storage, and communication of digital information. The field was fundamentally established by the works of Harry Nyquist and Ralph Hartley, in the 1920s, and Claude Shannon in the 1940s.
Википедия
Computability theory
Computability theory, also known as recursion theory, is a branch of mathematical logic, computer science, and the theory of computation that originated in the 1930s with the study of computable functions and Turing degrees. The field has since expanded to include the study of generalized computability and definability. In these areas, computability theory overlaps with proof theory and effective descriptive set theory.
Basic questions addressed by computability theory include:
- What does it mean for a function on the natural numbers to be computable?
- How can noncomputable functions be classified into a hierarchy based on their level of noncomputability?
Although there is considerable overlap in terms of knowledge and methods, mathematical computability theorists study the theory of relative computability, reducibility notions, and degree structures; those in the computer science field focus on the theory of subrecursive hierarchies, formal methods, and formal languages.
