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A New Incompleteness Result for Hoare's System

The work

AuthorsMitchell Wand
Editors
Typearticle
Year1978
Citekeywand1978incompleteness

Where it appeared

Published inJournal of the ACM
PublisherAssociation for Computing Machinery
Volume25
Issue1
Pages168--175

Identifiers

DOI10.1145/322047.322062
OpenAlexW1994586366

Related

Supersedeswand1976incompleteness

From OpenAlex, which stores abstracts as an index of words and their positions: what is shown is rebuilt from that, and reads fluently whether or not it is what the author wrote.

Abstract

There exist structures for which Hoare's formal system for partial correctness is incomplete, even ff the entire first-order theory of the structure is included among the axioms This incompleteness occurs even if attention is restricted to structures with a solvable halting problem, and to programs which always halt on the structure The implications of this result for program proving are discussed

How it got here

How it got hereagent via openalex
Added2026-10-24 09:06 UTC
Not denied bya person 2026-10-29 17:12 UTC

Filed under

jacm

Cite it as

@article{wand1978incompleteness,
  title        = {A New Incompleteness Result for Hoare's System},
  author       = {Mitchell Wand},
  year         = {1978},
  journal      = {Journal of the ACM},
  publisher    = {Association for Computing Machinery},
  volume       = {25},
  number       = {1},
  pages        = {168--175},
  doi          = {10.1145/322047.322062},
}

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