Connection calculi allow for very compact implementations of goal-directed proof search. We give an overview of our work related to connection tableaux calculi: first, we show optimised functional implementations of connection tableaux proof search, including a consistent Skolemisation procedure for machine learning. Then, we show two guidance methods based on machine learning, namely reordering of proof steps with Naive Bayesian probabilities, and expansion of a proof search tree with Monte Carlo Tree Search.

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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC7900060PMC
http://dx.doi.org/10.1007/s10817-020-09576-7DOI Listing

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