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Longer titles found: Gödel numbering for sequences (view)

searching for Gödel numbering 10 found (348 total)

Complete numbering (252 words) [view diff] exact match in snippet view article find links to article

In computability theory complete numberings are generalizations of Gödel numbering first introduced by A.I. Mal'tsev in 1963. They are studied because

Index set (computability) (703 words) [view diff] exact match in snippet view article

all indices of functions in a certain class, according to a fixed Gödel numbering of partial computable functions. Let φ e {\displaystyle \varphi _{e}}

Blum axioms (423 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \varphi _{i}} for the i-th partial computable function under the Gödel numbering φ {\displaystyle \varphi } , and Φ i {\displaystyle \Phi _{i}} for

PA degree (864 words) [view diff] exact match in snippet view article find links to article

either that formula or its negation is included in the set. Once a Gödel numbering of the formulas in the language of PA has been fixed, it is possible

Diagonal lemma (1,424 words) [view diff] exact match in snippet view article find links to article

{\displaystyle f} is computable (which is ultimately an assumption about the Gödel numbering scheme), so there is a formula G f ( x , y ) {\displaystyle {\mathcal

Kleene's recursion theorem (3,163 words) [view diff] exact match in snippet view article find links to article

Kleene's recursion theorem holds for any precomplete numbering. A Gödel numbering is a precomplete numbering on the set of computable functions so the

Boolean algebras canonically defined (8,235 words) [view diff] exact match in snippet view article find links to article

the operation is the truth table of that operation. By analogy with Gödel numbering of computable functions one might call this numbering of the Boolean

Random-access machine (7,514 words) [view diff] exact match in snippet view article find links to article

instructions encoded into it! This is how Minsky solves the problem, but the Gödel numbering he uses represents a great inconvenience to the model, and the result

Independence-friendly logic (7,126 words) [view diff] exact match in snippet view article find links to article

\urcorner )} (where ⌜ ⌝ {\displaystyle \ulcorner \urcorner } denotes a Gödel numbering). A weaker statement also holds for nonstandard models of Peano Arithmetic

Revision theory (6,640 words) [view diff] exact match in snippet view article find links to article

used to indicate a generic naming device, e.g. quotation names or Gödel numbering. McGee (1985) The original presentation of FS used different axioms