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Glite Dictionary
✅ Can be done 🔢 Possible in math
realizability

realizability

9.1
A math proof that shows a concrete example or program
  • noun
  • /ˌriːəlaɪˈzəːbɪlɪti/
  • Specialized
translation icon : realizabilidad
  • Understanding realizability allows mathematicians to transform abstract proofs into tangible applications in computer science.

Examples

  • The truth of doctrines can be defined in terms of Laudan's concept of realizability and not correspondence.

    Academic text (1991)

  • In mathematics, realizability ensures that a proof can provide concrete examples of its claims and not just abstract reasoning.

  • The concept of realizability is crucial because it links theoretical statements to practical computational instances.

Synonyms

computability
vsrealizability
  • Specialized
7.0

How easy it is for a computer or algorithm to solve a problem

is about having a concrete computational example rather than mere algorithmic solvability
constructibility
vsrealizability
  • Specialized
9.0

Can be made or defined in math and computer science

is about having a concrete computational example rather than mere definability

How Constructive

realizability
  • Specialized
9.1
direct proof
  • Specialized
1 6.6
mathematical proof
  • Specialized
1 5.9

Surface Forms

realizability singular
realizabilities plural
realisabilities plural
realizability singular

Morphology

realizability = realizable (semi-transparent) = real + ize + able + ity

Morphologically regular, but the sense here is a specialized mathematical/technical usage (concerning computational witnesses), which is not obvious to general learners from the components alone.

Etymology

Realizability comes from realize 'make real' and -ability 'ability'. In math and computer science it means a statement can be turned into a concrete example or a working method, so realizability there is about finding a real example or algorithm that shows the idea works.