MaLeCoP swMATH ID: 7197 Software Authors: Josef Urban, Jiří Vyskočil, Petr Štěpánek Description: MaLeCoP Machine Learning Connection Prover. Probabilistic guidance based on learned knowledge is added to the connection tableau calculus and implemented on top of the lean-CoP theorem prover, linking it to an external advisor system. In the typical mathematical setting of solving many problems in a large complex theory, learning from successful solutions is then used for guiding theorem proving attempts in the spirit of the MaLARea system. While in MaLA Rea learning-based axiom selection is done outside unmodified theorem provers, in MaLeCoP the learning-based selection is done inside the prover, and the interaction between learning of knowledge and its application can be much finer. This brings interesting possibilities for further construction and training of self-learning AI mathematical experts on large mathematical libraries, some of which are discussed. The initial implementation is evaluated on the MPTP Challenge large theory benchmark Homepage: http://rd.springer.com/chapter/10.1007%2F978-3-642-22119-4_21 Related Software: E Theorem Prover; Mizar; MaLARea; VAMPIRE; FEMaLeCoP; Flyspeck; HOL Light; MPTP 0.2; leanCoP; ENIGMA; HOL; Isabelle/HOL; BliStr; Coq; TPTP; MoMM; ileanCoP; Isabelle; Sledgehammer; MPTP Cited in: 29 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year MaLeCoP. Machine learning connection prover. Zbl 1332.68206Urban, Josef; Vyskočil, Jiří; Štěpánek, Petr 2011 all top 5 Cited by 36 Authors 24 Urban, Josef 12 Kaliszyk, Cezary 5 Jakubův, Jan 3 Färber, Michael 2 Brown, Chad Edward 2 Chvalovský, Karel 2 Gauthier, Thibault 2 Goertzel, Zarathustra Amadeus 2 Kühlwein, Daniel 2 Olšák, Miroslav 2 Suda, Martin 2 Vyskočil, Jiří 2 Zombori, Zsolt 1 Alama, Jesse 1 Bancerek, Grzegorz 1 Blanchette, Jasmin Christian 1 Byliński, Czesław 1 Grabowski, Adam 1 Heskes, Tom M. 1 Janičić, Predrag 1 Korniłowicz, Artur 1 Kovács, Zoltán 1 Kumar, Ramana 1 Marinković, Vesna 1 Matuszewski, Roman 1 Naumowicz, Adam 1 Nikolić, Mladen 1 Norrish, Michael 1 Pąk, Karol 1 Paulson, Lawrence Charles 1 Piotrowski, Bartosz 1 Rawson, Michael 1 Reger, Giles 1 Schulz, Stephan 1 Tsivtsivadze, Evgeni 1 van Laarhoven, Twan Cited in 5 Serials 3 Journal of Automated Reasoning 1 Journal of Symbolic Computation 1 Annals of Mathematics and Artificial Intelligence 1 Mathematics in Computer Science 1 Journal of Formalized Reasoning Cited in 3 Fields 29 Computer science (68-XX) 3 Mathematical logic and foundations (03-XX) 1 Geometry (51-XX) Citations by Year