| Title: | Beagle as a HOL4 external ATP method |
| Authors: | Thibault Gauthier, Cezary Kaliszyk, Chantal Keller and Michael Norrish |
| Proceedings: | PAAR 2014 Proceedings |
| Editors: | Stephan Schulz, Leonardo De Moura and Boris Konev |
| Keywords: | Beagle, HOL4, ATP, translation |
| Abstract: | This paper presents BEAGLE TAC, a HOL4 tactic for using Beagle as an external ATP for
discharging HOL4 goals. We implement a translation of the higher-order goals to the TFA
format of TPTP and add trace output to Beagle to reconstruct the intermediate steps derived
by the ATP in HOL4. Our translation combines the characteristics of existing successful
translations from HOL to FOL and SMT-LIB, however we needed to adapt certain stages
of the translation in order to benefit form the expressivity of the TFA format and the power
of Beagle. In our initial experiments, we demonstrate that our system can prove, without
any arithmetic lemmas, 81% of the goals solved by Metis. |
| Pages: | 10 |
| Talk: | Jul 23 16:30 |
| Paper: |  |