LEO-II

LEO-II is a standalone, resolution-based higher-order theorem prover designed for fruitful cooperation with specialist provers for natural fragments of higher-order logic. At present LEO-II can cooperate with TPTP compliant first-order automated theorem provers such as E, SPASS, Gandalf and Vampire. World Champion 2010: LEO-II was the winner of the THF division (automation of higher-order logic) at CASC-J5. At CASC-J23 in 2011 LEO-II finished second in the THF division. Moreover, at CASC-J5 and CASC-23 LEO-II did also participate in the first-order divisions FOF and CNF and performed reasonably well. LEO-II has been the first theorem prover that supports THF, FOF and CNF syntax. LEO-II is implemented in Objective CAML and its problem representation language is TPTP THF.


References in zbMATH (referenced in 49 articles , 1 standard article )

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  1. Benzmüller, Christoph; Scott, Dana S.: Automating free logic in HOL, with an experimental application in category theory (2020)
  2. Kaufmann, Matt; Moore, J. Strother: Limited second-order functionality in a first-order setting (2020)
  3. Barbosa, Haniel; Reynolds, Andrew; El Ouraoui, Daniel; Tinelli, Cesare; Barrett, Clark: Extending SMT solvers to higher-order logic (2019)
  4. Brown, Chad E.; Gauthier, Thibault; Kaliszyk, Cezary; Sutcliffe, Geoff; Urban, Josef: GRUNGE: a grand unified ATP challenge (2019)
  5. Bentkamp, Alexander; Blanchette, Jasmin Christian; Cruanes, Simon; Waldmann, Uwe: Superposition for (\lambda)-free higher-order logic (2018)
  6. Lopez Hernandez, Julio Cesar; Korovin, Konstantin: An abstraction-refinement framework for reasoning with large theories (2018)
  7. Benzmüller, Christoph: Cut-elimination for quantified conditional logic (2017)
  8. Benzmüller, C.; Weber, Leon; Woltzenlogel Paleo, Bruno: Computer-assisted analysis of the Anderson-Hájek ontological controversy (2017)
  9. Gleißner, Tobias; Steen, Alexander; Benzmüller, Christoph: Theorem provers for every normal modal logic (2017)
  10. Schulz, Stephan; Sutcliffe, Geoff; Urban, Josef; Pease, Adam: Detecting inconsistencies in large first-order knowledge bases (2017)
  11. Benzmüller, Christoph; Woltzenlogel Paleo, Bruno: An object-logic explanation for the inconsistency in Gödel’s ontological theory (2016)
  12. Blanchette, Jasmin Christian; Böhme, Sascha; Fleury, Mathias; Smolka, Steffen Juilf; Steckermeier, Albert: Semi-intelligible Isar proofs from machine-generated proofs (2016)
  13. Brown, Chad E.; Urban, Josef: Extracting higher-order goals from the Mizar Mathematical Library (2016)
  14. Wisniewski, Max; Steen, Alexander; Kern, Kim; Benzmüller, Christoph: Effective normalization techniques for HOL (2016)
  15. Benzmüller, Christoph: Higher-order automated theorem provers (2015)
  16. Benzmüller, Christoph: Invited talk: on a (quite) universal theorem proving approach and its application in metaphysics (2015)
  17. Benzmüller, Christoph; Paleo, Bruno Woltzenlogel: On logic embeddings and Gödel’s god (2015)
  18. Benzmüller, Christoph; Paleo, Bruno Woltzenlogel: Interacting with modal logics in the coq proof assistant (2015)
  19. Benzmüller, Christoph; Sultana, Nik; Paulson, Lawrence C.; Theiß, Frank: The higher-order prover \textscLeo-II (2015)
  20. Foster, Simon; Struth, Georg: On the fine-structure of regular algebra (2015)

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