Superposition for Higher-Order Logic - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Journal of Automated Reasoning Year : 2023

Superposition for Higher-Order Logic


We recently designed two calculi as stepping stones towards superposition for full higher-order logic: Boolean-free λ-superposition and superposition for first-order logic with interpreted Booleans. Stepping on these stones, we finally reach a sound and refutationally complete calculus for higher-order logic with polymorphism, extensionality, Hilbert choice, and Henkin semantics. In addition to the complexity of combining the calculus's two predecessors, new challenges arise from the interplay between λ-terms and Booleans. Our implementation in Zipperposition outperforms all other higher-order theorem provers and is on a par with an earlier, pragmatic prototype of Booleans in Zipperposition.
Fichier principal
Vignette du fichier
paper.pdf (504.28 Ko) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-04298616 , version 1 (21-11-2023)




Alexander Bentkamp, Jasmin Blanchette, Sophie Tourret, Petar Vukmirović. Superposition for Higher-Order Logic. Journal of Automated Reasoning, 2023, 67 (1), pp.10. ⟨10.1007/s10817-022-09649-9⟩. ⟨hal-04298616⟩
23 View
14 Download



Gmail Mastodon Facebook X LinkedIn More