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Description
  • Probabilistic guidance based on learned knowledge is added to the connection tableau calculus and implemented on top of the leanCoP 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 MaLARea 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.
  • Probabilistic guidance based on learned knowledge is added to the connection tableau calculus and implemented on top of the leanCoP 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 MaLARea 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. (en)
Title
  • MaLeCoP: Machine Learning Connection Prover
  • MaLeCoP: Machine Learning Connection Prover (en)
skos:prefLabel
  • MaLeCoP: Machine Learning Connection Prover
  • MaLeCoP: Machine Learning Connection Prover (en)
skos:notation
  • RIV/68407700:21230/11:00181863!RIV12-MSM-21230___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • I, Z(MSM0021620838), Z(MSM6840770038)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 210338
http://linked.open...ai/riv/idVysledku
  • RIV/68407700:21230/11:00181863
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • automated theorem prover; connection tableaux; machine learning; artificial intelligence (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [4CF2B07DAD46]
http://linked.open...v/mistoKonaniAkce
  • Bern
http://linked.open...i/riv/mistoVydani
  • Heidelberg
http://linked.open...i/riv/nazevZdroje
  • Automated Reasoning with Analytic Tableaux and Related Methods
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Urban, J.
  • Štěpánek, P.
  • Vyskočil, Jiří
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
issn
  • 0302-9743
number of pages
http://purl.org/ne...btex#hasPublisher
  • Springer-Verlag
https://schema.org/isbn
  • 978-3-642-22118-7
http://localhost/t...ganizacniJednotka
  • 21230
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