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Communication Dans Un Congrès Année : 2023

Open Higher-Order Logic

Résumé

We introduce a variation on Barthe et al.’s higher-order logic in which formulas are interpreted as predicates over open rather than closed objects. This way, concepts which have an intrinsically functional nature, like continuity, differentiability, or monotonicity, can be expressed and reasoned about in a very natural way, following the structure of the underlying program. We give open higher-order logic in distinct flavors, and in particular in its relational and local versions, the latter being tailored for situations in which properties hold only in part of the underlying function’s domain of definition.
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hal-04356990 , version 1 (20-12-2023)

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Ugo Dal Lago, Francesco Gavazzo, Alexis Ghyselen. Open Higher-Order Logic. CSL 2023 - 31st EACSL Annual Conference on Computer Science Logic, Feb 2023, Warsaw, Poland. ⟨10.4230/LIPIcs.CSL.2023.17⟩. ⟨hal-04356990⟩
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