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Mon 20 Jan 2020 14:21 - 14:43 at Maurepas - Proof engineering and user interaction Chair(s): Yves Bertot

In this paper we share several experiments trying to automatically translate informal mathematics into formal mathematics. In our context informal mathematics refers to human-written mathematical sentences in the LaTeX format; and formal mathematics refers to statements in the Mizar language. We conducted our experiments against three established neural network-based machine translation models that are known to deliver competitive results on translating between natural languages. To train these models we also prepared four informal-to-formal datasets. We compare and analyze our results according to whether the model is supervised or unsupervised. In order to augment the data available for auto-formalization and improve the results, we develop a custom type-elaboration mechanism and integrate it in the supervised translation.

Mon 20 Jan
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14:00 - 15:05: CPP 2020 - Proof engineering and user interaction at Maurepas
Chair(s): Yves BertotINRIA
CPP-2020-papers14:00 - 14:21
Yannick ZakowskiUniversity of Pennsylvania, Paul HeUniversity of Pennsylvania, Chung-Kil HurSeoul National University, Steve ZdancewicUniversity of Pennsylvania
DOI Pre-print Media Attached File Attached
CPP-2020-papers14:21 - 14:43
Qingxiang WangUniversity of Innsbruck, Chad BrownCzech Technical University in Prague, Cezary KaliszykUniversity of Innsbruck, Josef UrbanCzech Technical University in Prague
DOI Pre-print
CPP-2020-papers14:43 - 15:05
Talia RingerUniversity of Washington, Alex Sanchez-SternUniversity of California, San Diego, Dan GrossmanUniversity of Washington, Sorin LernerUniversity of California, San Diego
DOI Pre-print Media Attached