Sledgehammer is a tool that harnesses external first-order automatic theorem provers (ATPs) to discharge interactive proof obligations arising in Isabelle/HOL. We extended it with LEO-II and Satallax, the two most prominent higher-order ATPs, improving its performance on higher-order problems. To explore their usefulness, these ATPs are measured against first-order ATPs and built-in Isabelle tactics on a variety of benchmarks from Isabelle and the TPTP library. Sledgehammer provides an ideal test bench for individual features of LEO-II and Satallax, revealing areas for improvements.

References in zbMATH (referenced in 119 articles , 2 standard articles )

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  1. Benzmüller, Christoph; Fuenmayor, David: Computer-supported analysis of positive properties, ultrafilters and modal collapse in variants of Gödel’s ontological argument (2020)
  2. Benzmüller, Christoph; Parent, Xavier; van der Torre, Leendert: Designing normative theories for ethical and legal reasoning: \textscLogiKEyframework, methodology, and tool support (2020)
  3. Benzmüller, Christoph; Scott, Dana S.: Automating free logic in HOL, with an experimental application in category theory (2020)
  4. Berghammer, Rudolf; Furusawa, Hitoshi; Guttmann, Walter; Höfner, Peter: Relational characterisations of paths (2020)
  5. Foster, Simon; Cavalcanti, Ana; Canham, Samuel; Woodcock, Jim; Zeyda, Frank: Unifying theories of reactive design contracts (2020)
  6. Barbosa, Haniel; Reynolds, Andrew; El Ouraoui, Daniel; Tinelli, Cesare; Barrett, Clark: Extending SMT solvers to higher-order logic (2019)
  7. Bentkamp, Alexander; Blanchette, Jasmin Christian; Klakow, Dietrich: A formal proof of the expressiveness of deep learning (2019)
  8. Bentkamp, Alexander; Blanchette, Jasmin; Tourret, Sophie; Vukmirović, Petar; Waldmann, Uwe: Superposition with lambdas (2019)
  9. Färber, Michael; Kaliszyk, Cezary: Certification of nonclausal connection tableaux proofs (2019)
  10. Li, Wenda; Passmore, Grant Olney; Paulson, Lawrence C.: Deciding univariate polynomial problems using untrusted certificates in Isabelle/HOL (2019)
  11. Niemetz, Aina; Preiner, Mathias; Reynolds, Andrew; Zohar, Yoni; Barrett, Clark; Tinelli, Cesare: Towards bit-width-independent proofs in SMT solvers (2019)
  12. Paulson, Lawrence C.; Nipkow, Tobias; Wenzel, Makarius: From LCF to Isabelle/HOL (2019)
  13. Stojanović-Ðurđević, Sana: From informal to formal proofs in Euclidean geometry (2019)
  14. Wenzel, Makarius: Interaction with formal mathematical documents in Isabelle/PIDE (2019)
  15. Avigad, Jeremy (ed.); Blanchette, Jasmin Christian (ed.); Klein, Gerwin (ed.); Paulson, Lawrence (ed.); Popescu, Andrei (ed.); Snelting, Gregor (ed.): Introduction to “Milestones in interactive theorem proving” (2018)
  16. Bauereiß, Thomas; Pesenti Gritti, Armando; Popescu, Andrei; Raimondi, Franco: CoSMed: a confidentiality-verified social media platform (2018)
  17. Benzmüller, Christoph; Parent, Xavier; van der Torre, Leendert: A deontic logic reasoning infrastructure (2018)
  18. Blanchette, Jasmin Christian; Fleury, Mathias; Lammich, Peter; Weidenbach, Christoph: A verified SAT solver framework with learn, forget, restart, and incrementality (2018)
  19. Blanchette, Jasmin Christian; Peltier, Nicolas; Robillard, Simon: Superposition with datatypes and codatatypes (2018)
  20. Boulmé, Sylvain; Maréchal, Alexandre: A Coq tactic for equality learning in linear arithmetic (2018)

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