Title
GamePad: A Learning Environment for Theorem Proving.
Abstract
In this paper, we introduce a system called GamePad that can be used to explore the application of machine learning methods to theorem proving in the Coq proof assistant. Interactive theorem provers such as Coq enable users to construct machine-checkable proofs in a step-by-step manner. Hence, they provide an opportunity to explore theorem proving at a human level of abstraction. We use GamePad to synthesize proofs for a simple algebraic rewrite problem and train baseline models for a formalization of the Feit-Thompson theorem. We address position evaluation (i.e., predict the number of proof steps left) and tactic prediction (i.e., predict the next proof step) tasks, which arise naturally in human-level theorem proving.
Year
Venue
Field
2018
international conference on learning representations
Theorem provers,Algebraic number,Automated theorem proving,Mathematical proof,Artificial intelligence,Learning environment,Calculus,Machine learning,Mathematics,Proof assistant
DocType
Volume
Citations 
Journal
abs/1806.00608
4
PageRank 
References 
Authors
0.38
14
4
Name
Order
Citations
PageRank
daniel c huang181.97
Prafulla Dhariwal240.38
Dawn Song37334385.37
Ilya Sutskever4258141120.24