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.
Keywords for this software
References in zbMATH (referenced in 39 articles , 1 standard article )
Showing results 1 to 20 of 39.
Sorted by year (- Lopez Hernandez, Julio Cesar; Korovin, Konstantin: An abstraction-refinement framework for reasoning with large theories (2018)
- Benzmüller, Christoph: Cut-elimination for quantified conditional logic (2017)
- Benzmüller, C.; Weber, Leon; Woltzenlogel Paleo, Bruno: Computer-assisted analysis of the Anderson-Hájek ontological controversy (2017)
- Schulz, Stephan; Sutcliffe, Geoff; Urban, Josef; Pease, Adam: Detecting inconsistencies in large first-order knowledge bases (2017)
- Benzmüller, Christoph; Woltzenlogel Paleo, Bruno: An object-logic explanation for the inconsistency in Gödel’s ontological theory (2016)
- Blanchette, Jasmin Christian; Böhme, Sascha; Fleury, Mathias; Smolka, Steffen Juilf; Steckermeier, Albert: Semi-intelligible Isar proofs from machine-generated proofs (2016)
- Brown, Chad E.; Urban, Josef: Extracting higher-order goals from the Mizar Mathematical Library (2016)
- Wisniewski, Max; Steen, Alexander; Kern, Kim; Benzmüller, Christoph: Effective normalization techniques for HOL (2016)
- Benzmüller, Christoph: Invited talk: on a (quite) universal theorem proving approach and its application in metaphysics (2015)
- Benzmüller, Christoph; Paleo, Bruno Woltzenlogel: Interacting with modal logics in the coq proof assistant (2015)
- Benzmüller, Christoph; Sultana, Nik; Paulson, Lawrence C.; Theiß, Frank: The higher-order prover \textscLeo-II (2015)
- Foster, Simon; Struth, Georg: On the fine-structure of regular algebra (2015)
- Kühlwein, Daniel; Urban, Josef: MaLeS: a framework for automatic tuning of automated theorem provers (2015)
- Wisniewski, Max; Steen, Alexander; Benzmüller, Christoph: \textscLeoPARD-- a generic platform for the implementation of higher-order reasoners (2015)
- Kaliszyk, Cezary; Urban, Josef: Learning-assisted automated reasoning with (\mathsfFlyspeck) (2014)
- Benzmüller, Christoph; Paulson, Lawrence C.: Quantified multimodal logics in simple type theory (2013)
- Benzmüller, Christoph; Raths, Thomas: HOL based first-order modal logic provers (2013)
- Brown, Chad E.: Reducing higher-order theorem proving to a sequence of SAT problems (2013)
- Sultana, Nik; Blanchette, Jasmin Christian; Paulson, Lawrence C.: LEO-II and Satallax on the Sledgehammer test bench (2013)
- Urban, Josef; Vyskočil, Jiří: Theorem proving in large formal mathematics as an emerging AI field (2013)