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What does it mean when something is computable?

Posted on August 5, 2022 by Author

What does it mean when something is computable?

capable of being computed
Definition of computable : capable of being computed.

What is not computable?

A non-computable is a problem for which there is no algorithm that can be used to solve it. Most famous example of a non-computablity (or undecidability) is the Halting Problem.

What is computation amount?

Computation Amount means the surplus proceeds (rounded to the next higher$5,000 denomination) equal to the remainder of (i) thirty percent (30\%) of the Net Proceeds less proceeds of Common Issue Bonds directly or indirectly used to make loans to Political Subdivisions as of the last day of the One-Year Computation …

What makes a problem computable?

A mathematical problem is computable if it can be solved in principle by a computing device. Some common synonyms for “computable” are “solvable”, “decidable”, and “recursive”. Hilbert believed that all mathematical problems were solvable, but in the 1930’s Gödel, Turing, and Church showed that this is not the case.

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What does it mean to be effectively computable?

is effectively computable if there is an effective procedure or algorithm that correctly calculates f. An effective procedure is one that meets the following specifications.

What is function in theory of computation?

Computable functions are the basic objects of study in computability theory. Computable functions are used to discuss computability without referring to any concrete model of computation such as Turing machines or register machines.

What is Undecidability in theory of computation?

In computability theory and computational complexity theory, an undecidable problem is a decision problem for which it is proved to be impossible to construct an algorithm that always leads to a correct yes-or-no answer.

What is Turing computable function in theory of computation?

According to the Church–Turing thesis, computable functions are exactly the functions that can be calculated using a mechanical calculation device given unlimited amounts of time and storage space.

What is an example of a computation?

An example of a computation on graphs is a check for cycles. This transforms the input data (a graph) into output data (a list of all cycles in the graph). Encoding graphs, cycles, and lists as sequences of symbols is not as obvious as encoding numbers and text.

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What is basic computation?

Math computation skills comprise what many people refer to as basic arithmetic: addition, subtraction, multiplication and division. Generally speaking, computations entail finding an answer to a problem via math or logic. They can be carried out by not only by humans, but calculators or computers, as well.

What are tractable and intractable problems?

Tractable Problem: a problem that is solvable by a polynomial-time algorithm. Intractable Problem: a problem that cannot be solved by a polynomial-time al- gorithm.

What is computability theory in TOC?

Computability is the ability to solve a problem in an effective manner. It is a key topic of the field of computability theory within mathematical logic and the theory of computation within computer science. The computability of a problem is closely linked to the existence of an algorithm to solve the problem.

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