Synthesis of Strategies Using the Hoare Logic of Angelic and Demonic Nondeterminism

The work

AuthorsKonstantinos Mamouras
Typearticle
Year2016
Citekeymamouras2016synthesis

Where it appeared

Published inLogical Methods in Computer Science
PublisherLogical Methods in Computer Science e.V.
Volume12
Issue3
Pages1--41

Abstract

We study a propositional variant of Hoare logic that can be used for reasoning about programs that exhibit both angelic and demonic nondeterminism. We work in an uninterpreted setting, where the meaning of the atomic actions is specified axiomatically using hypotheses of a certain form. Our logical formalism is entirely compositional and it subsumes the non-compositional formalism of safety games on finite graphs. We present sound and complete Hoare-style calculi that are useful for establishing partial-correctness assertions, as well as for synthesizing implementations. The computational complexity of the Hoare theory of dual nondeterminism is investigated using operational models, and it is shown that the theory is complete for exponential time.

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Added2026-08-16 00:00 UTC
Approved bya person 2026-08-16 22:17 UTC

Filed under

angels-and-demons

Cite it as

@article{mamouras2016synthesis,
  title        = {Synthesis of Strategies Using the Hoare Logic of Angelic and Demonic Nondeterminism},
  author       = {Konstantinos Mamouras},
  year         = {2016},
  journal      = {Logical Methods in Computer Science},
  volume       = {12},
  number       = {3},
  pages        = {1--41},
  publisher    = {Logical Methods in Computer Science e.V.},
  doi          = {10.2168/lmcs-12(3:6)2016},
}

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