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Proofs as programs

The work

AuthorsJoseph L. Bates; Robert L. Constable
Editors
Typearticle
Year1985
Citekeybates1985proofs

Where it appeared

Published inACM Transactions on Programming Languages and Systems
PublisherAssociation for Computing Machinery (ACM)
Volume7
Issue1
Pages113--136

Identifiers

DOI10.1145/2363.2528
ISSN0164-0925

From crossref.

Abstract

The significant intellectual cost of programming is for problem solving and explaining, not for coding. Yet programming systems offer mechanical assistance for the coding process exclusively. We illustrate the use of an implemented program development system, called PRL ("pearl"), that provides automated assistance with the difficult part. The problem and its explained solution are seen as formal objects in a constructive logic of the data domains. These formal explanations can be executed at various stages of completion. The most incomplete explanations resemble applicative programs, the most complete are formal proofs.

How it got here

How it got hereagent via crossref
Added2026-10-25 23:12 UTC
Not denied bya person 2026-10-29 17:12 UTC

Cite it as

@article{bates1985proofs,
  title        = {Proofs as programs},
  author       = {Joseph L. Bates and Robert L. Constable},
  year         = {1985},
  journal      = {ACM Transactions on Programming Languages and Systems},
  publisher    = {Association for Computing Machinery (ACM)},
  volume       = {7},
  number       = {1},
  pages        = {113--136},
  issn         = {0164-0925},
  doi          = {10.1145/2363.2528},
}

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