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Beagle as a HOL4 external ATP method

Thibault Gauthier, Cezary Kaliszyk, Chantal Keller, Michael Norrish
This paper presents BEAGLE TAC, a HOL4 tactic for using Beagle as an external ATP fordischarging HOL4 goals.  ...  We implement a translation of the higher-order goals to the TFAformat of TPTP and add trace output to Beagle to reconstruct the intermediate steps derivedby the ATP in HOL4.  ...  Acknowledgement Peter Baumgartner and Josh Bax explained us the internals of Beagle and helped us find an issue in the initial version of our translation; Alexis Saurin reviewed a previous version of this  ... 
doi:10.29007/8xbv fatcat:cik4yv3aenajbj6musssd2dkpe

Premise Selection and External Provers for HOL4

Thibault Gauthier, Cezary Kaliszyk
2015 Proceedings of the 2015 Conference on Certified Programs and Proofs - CPP '15  
HOLyHammer transforms the HOL4 statements in the various TPTP-ATP proof formats, which are then processed by the ATPs.  ...  We efficiently record the HOL4 dependencies and extract features from the theorem statements, which form a basis for premise selection.  ...  as Yices [31] , Z3 [4] and Beagle [8] .  ... 
doi:10.1145/2676724.2693173 dblp:conf/cpp/GauthierK15 fatcat:p5jxweitsvbvndliq465gsinra