Exploration of Neural Machine Translation in Autoformalization of Mathematics in Mizar
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 JanDisplayed time zone: Saskatchewan, Central America change
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14:00 21mTalk | An Equational Theory for Weak Bisimulation via Generalized Parameterized Coinduction CPP Yannick Zakowski University of Pennsylvania, Paul He University of Pennsylvania, Chung-Kil Hur Seoul National University, Steve Zdancewic University of Pennsylvania DOI Pre-print Media Attached File Attached | ||
14:21 21mTalk | Exploration of Neural Machine Translation in Autoformalization of Mathematics in Mizar CPP Qingxiang Wang University of Innsbruck, Chad Brown Czech Technical University in Prague, Cezary Kaliszyk University of Innsbruck, Josef Urban Czech Technical University in Prague DOI Pre-print | ||
14:43 21mTalk | REPLICA: REPL Instrumentation for Coq Analysis CPP Talia Ringer University of Washington, Alex Sanchez-Stern University of California, San Diego, Dan Grossman University of Washington, Sorin Lerner University of California, San Diego DOI Pre-print Media Attached |