On relative completeness of Hoare logics

The work

AuthorsMichal Grabowski
Editors
Typearticle
Year1985
Citekeygrabowski1985relative

Where it appeared

Published inInformation and Control
Volume66
Issue1
Pages29--44

Abstract

In this paper a generalization of a certain theorem of Lipton ("Proc. 18th IEEE Sympos. Found. of Comput. Sci." (1977), pp. 1-6) is presented. Namely, we show that for a wide class of programming languages the following holds: the set of all partial correctness assertions true in an expressive interpretation I is uniformly decidable (in I) in the theory of I iff the halting problem is decidable for finite interpretations. In the effect we show that such limitations as effectiveness or Herbrand-definability of interpretation (they are relevant in the previous proofs) can be removed in the case of partial correctness.

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Added2026-08-05 00:00 UTC
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Cite it as

@article{grabowski1985relative,
  title        = {On relative completeness of Hoare logics},
  author       = {Michal Grabowski},
  year         = {1985},
  journal      = {Information and Control},
  volume       = {66},
  number       = {1},
  pages        = {29--44},
  doi          = {10.1016/s0019-9958(85)80010-3},
}

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