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Admissible numbering information


In computability theory, admissible numberings are enumerations (numberings) of the set of partial computable functions that can be converted to and from the standard numbering. These numberings are also called acceptable numberings and acceptable programming systems.

Rogers' equivalence theorem shows that all acceptable programming systems are equivalent to each other in the formal sense of numbering theory.

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Admissible numbering

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to a standard numbering (only indirectly through the definition of Turing universality). A numbering η of partial functions is admissible in the above...

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Admissible heuristic

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algorithms related to pathfinding, a heuristic function is said to be admissible if it never overestimates the cost of reaching the goal, i.e. the cost...

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Admissibility

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Look up admissibility in Wiktionary, the free dictionary. Admissibility may refer to: Admissible evidence, evidence which may be introduced in a court...

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Computability theory

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Friedberg numbering (named after its discoverer) is a one-one numbering of all partial-computable functions; it is necessarily not an admissible numbering. Later...

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Rule of inference

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it is admissible or derivable. A derivable rule is one whose conclusion can be derived from its premises using the other rules. An admissible rule is...

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Admissible ordinal

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In set theory, an ordinal number α is an admissible ordinal if Lα is an admissible set (that is, a transitive model of Kripke–Platek set theory); in other...

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Creative and productive sets

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{\displaystyle \varphi _{i}} is an admissible numbering of the computable functions and Wi the corresponding numbering of the recursively enumerable sets...

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Fernsehturm Berlin

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by Italians (7.6 per cent) and Danes (6.7 per cent). The maximum admissible number of persons inside the ball is 320 persons. Of the up to 5,000 visitors...

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Hearsay

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activity. In England and Wales, hearsay is generally admissible in civil proceedings, but is only admissible in criminal proceedings if it falls within a statutory...

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Miranda warning

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Miranda rights. The purpose of such notification is to preserve the admissibility of their statements made during custodial interrogation in later criminal...

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Ordinal number

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strength of Peano arithmetic). Large countable ordinals such as countable admissible ordinals can also be defined above the Church-Kleene ordinal, which are...

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Frye standard

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to determine the admissibility of scientific evidence. It provides that expert opinion based on a scientific technique is admissible only when the technique...

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Large countable ordinal

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both admissible and a limit of admissibles, or equivalently such that α {\displaystyle \alpha } is the α {\displaystyle \alpha } -th admissible ordinal...

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15 puzzle

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in the goal configuration. Note that both are admissible. That is, they never overestimate the number of moves left, which ensures optimality for certain...

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Semiorthogonal decomposition

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right admissible if the inclusion has a right adjoint, written i ! {\displaystyle i^{!}} , and it is admissible if it is both left and right admissible. A...

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Rajya Sabha

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functioning of the Council of States (Rajya Sabha); (ii) providing amenities as admissible to Members of Rajya Sabha; (iii) servicing the various Parliamentary Committees;...

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Nonrecursive ordinal

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hyperarithmetical, and the smallest admissible ordinal after ω {\displaystyle \omega } (an ordinal α {\displaystyle \alpha } is called admissible if L α ⊨ K P {\displaystyle...

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