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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

Displayed time zone: Saskatchewan, Central America change

14:00 - 15:05
Proof engineering and user interactionCPP at Maurepas
Chair(s): Yves Bertot INRIA
14:00
21m
Talk
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
21m
Talk
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
21m
Talk
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