model-theoretical structures. Computable model theory introduces the ideas of computable and decidable models and theories and one of the basic problems...
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Computable functions are the basic objects of study in computability theory. Informally, a function is computable if there is an algorithm that computes...
24 KB (3,362 words) - 23:24, 22 May 2025
more models of learning. The general scenario is the following: Given a class S of computable functions, is there a learner (that is, computable functional)...
54 KB (6,414 words) - 03:45, 30 May 2025
In computability theory, a set of natural numbers is computable (or decidable or recursive) if there is an algorithm that computes the membership of every...
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and infinite model theory are algorithmic or computable model theory and the study of 0-1 laws, where the infinite models of a generic theory of a class...
63 KB (9,065 words) - 10:26, 2 April 2025
science, and more specifically in computability theory and computational complexity theory, a model of computation is a model which describes how an output...
4 KB (381 words) - 21:54, 12 March 2025
science and mathematics, the theory of computation is the branch that deals with what problems can be solved on a model of computation, using an algorithm...
18 KB (2,168 words) - 17:36, 27 May 2025
algorithm to solve the problem. The most widely studied models of computability are the Turing-computable and μ-recursive functions, and the lambda calculus...
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categorical logic Finite model theory Descriptive complexity theory Model checking Trakhtenbrot's theorem Computable model theory Tarski's exponential function...
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demanding that all such probability distributions be computable. Interestingly, the set of computable probability distributions is a subset of the set of...
17 KB (2,113 words) - 10:09, 27 May 2025
Turing machine (redirect from Turing-computable function)
what Turing did prove with his computational-machine model appears in his paper "On Computable Numbers, with an Application to the Entscheidungsproblem"...
73 KB (9,420 words) - 12:35, 17 June 2025
Church–Turing thesis (redirect from Church–Turing thesis (complexity theory))
of computable functions. It states that a function on the natural numbers can be calculated by an effective method if and only if it is computable by...
58 KB (6,849 words) - 17:10, 11 June 2025
Mathematical logic (redirect from Logic modeling)
mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory (also known as computability theory). Research in mathematical...
69 KB (8,370 words) - 19:12, 10 June 2025
Measure theory — Model theory — Module theory — Morse theory — Nevanlinna theory — Number theory — Obstruction theory — Operator theory — Order theory — PCF...
38 KB (4,341 words) - 16:56, 25 May 2025
Queueing theory is the mathematical study of waiting lines, or queues. A queueing model is constructed so that queue lengths and waiting time can be predicted...
39 KB (4,807 words) - 14:34, 12 January 2025
Finite model theory is a subarea of model theory. Model theory is the branch of logic which deals with the relation between a formal language (syntax)...
23 KB (3,107 words) - 17:07, 13 March 2025
The Annual ACM Symposium on Theory of Computing (STOC) is an academic conference in the field of theoretical computer science. STOC has been organized...
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Enumerability: The set S is the range of a partial computable function. The set S is the range of a total computable function, or empty. If S is infinite, the...
9 KB (1,318 words) - 20:47, 12 May 2025
Definable real number (category Set theory)
Like the algebraic numbers, the computable numbers also form a subfield of the real numbers, and the positive computable numbers are closed under taking...
11 KB (1,502 words) - 02:55, 9 April 2024
Computable General Equilibrium Modelling (2 volumes). North-Holland. ——, with Jerie, Michael; Rimmer, Maureen T. (2018). Trade Theory in Computable General...
50 KB (6,213 words) - 04:56, 10 March 2025
carried out in a computable manner. It is closely related to constructive analysis. Computable model theory a branch of model theory dealing with the...
71 KB (7,692 words) - 22:32, 2 March 2025
PMID 19797653. S2CID 17187000. Manin, Yu. I. (1980). Vychislimoe i nevychislimoe [Computable and Noncomputable] (in Russian). Soviet Radio. pp. 13–15. Archived from...
113 KB (12,430 words) - 14:39, 13 June 2025
Mathematical universe hypothesis (redirect from Computable universe hypothesis)
preferred over other theories-of-everything by Occam's Razor. Tegmark also considers augmenting the MUH with a second assumption, the computable universe hypothesis...
19 KB (2,306 words) - 16:32, 2 June 2025
mathematics and computer science, computable analysis is the study of mathematical analysis from the perspective of computability theory. It is concerned with the...
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Black box (redirect from Black box theory)
testing the black box model. Data has to be written down before it is pulled for black box inputs. Black box theories are those theories defined only in terms...
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such that either the addition or multiplication operation of the model is computable on the codes. This result was first obtained by Stanley Tennenbaum...
10 KB (1,292 words) - 15:14, 30 May 2025
In model theory and related areas of mathematics, a type is an object that describes how a (real or possible) element or finite collection of elements...
14 KB (2,253 words) - 11:20, 3 April 2024
In computability theory, many reducibility relations (also called reductions, reducibilities, and notions of reducibility) are studied. They are motivated...
13 KB (1,982 words) - 04:46, 16 September 2023
are computable trees K {\displaystyle K} for which no computable such path through it exists. To prove this, one enumerates the partial computable sequences...
213 KB (35,228 words) - 09:33, 13 June 2025
science and applied probability, ruin theory (sometimes risk theory or collective risk theory) uses mathematical models to describe an insurer's vulnerability...
11 KB (1,480 words) - 09:13, 15 August 2024