Superposition with Structural Induction - Archive ouverte HAL Access content directly
Book Sections Year : 2017

Superposition with Structural Induction


Superposition-based provers have been successfully used to discharge proof obligations stemming from proof assistants. However, many such obligations require induction to be proved. We present a new extension of typed superposition that can perform structural induction. Several inductive goals can be attempted within a single saturation loop, by leveraging AVATAR [1]. Lemmas obtained by generalization or theory exploration can be introduced during search, used, and proved, all in the same search space. We describe an implementation and present some promising results.
Fichier principal
Vignette du fichier
frocos_17_paper.pdf (436.91 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-02062459 , version 1 (08-03-2019)



Simon Cruanes. Superposition with Structural Induction. Clare Dixon; Marcelo Finger. Frontiers of Combining Systems, Springer, pp.172-188, 2017, 11th International Symposium on Frontiers of Combining Systems - FroCoS 2017, Brasília, Brazil, September 27-29, 2017, Proceedings, 978-3-319-66166-7. ⟨10.1007/978-3-319-66167-4_10⟩. ⟨hal-02062459⟩
46 View
199 Download



Gmail Facebook Twitter LinkedIn More