Foundations of constructive analysis

Bishop, E. (1967). Foundations of constructive analysis. McGraw-Hill.

Type

Book

Intellectual base

Textbook

Year

1967

Link

https://archive.org/details/foundationsofcon0000bish

Cited from

computer_science

Cited by

3 citations across 3 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Algorithm
  • The constructive-versus-existential proof distinction (Bishop, 1967)

    This sourceFounds constructive analysis, distinguishing non-constructive existential proofs from constructive proofs whose 'performable operations' produce explicit results.

Domain-specific

• Diaconescu's theorem
  • … choice principle, arbitrary proposition, proposition-dependent sets or epimorphism, selected section, extensionality and separation assumptions and derivation of excluded middle are explicit. to An applied instance preserves the same invariant under changed scale, notation, dataset, jurisdiction, or implementation..

Mechanisms

• Preimage Witness Generator
  • Formally, exhibiting the witness is a constructive existence proof

    This sourceTreats construction of the asserted object as the evidentiary content of a constructive existence proof.

Verification

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Does it back the claim? Not recorded. Neither this nor any other of the 3 citations of this work carries a recorded support check.

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Links previously used in the corpus

Before the registry existed this work was also linked 1 other way.

• https://books.google.com/books?id=o2mmAAAAIAAJ ×1

Registry ID ref:013f4fa32ffe · see in the full table