First Experiments with Neural Translation of Informal to Formal Mathematics
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F18%3A00329357" target="_blank" >RIV/68407700:21230/18:00329357 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21730/18:00329357
Result on the web
<a href="https://link.springer.com/chapter/10.1007/978-3-319-96812-4_22" target="_blank" >https://link.springer.com/chapter/10.1007/978-3-319-96812-4_22</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-319-96812-4_22" target="_blank" >10.1007/978-3-319-96812-4_22</a>
Alternative languages
Result language
angličtina
Original language name
First Experiments with Neural Translation of Informal to Formal Mathematics
Original language description
We report on our experiments to train deep neural networks that automatically translate informalized LATEX-written Mizar texts into the formal Mizar language. To the best of our knowledge, this is the first time when neural networks have been adopted in the formalization of mathematics. Using Luong et al.’s neural machine translation model (NMT), we tested our aligned informal-formal corpora against various hyperparameters and evaluated their results. Our experiments show that our best performing model configurations are able to generate correct Mizar statements on 65.73% of the inference data, with the union of all models covering 79.17%. These results indicate that formalization through artificial neural network is a promising approach for automated formalization of mathematics. We present several case studies to illustrate our results.
Czech name
—
Czech description
—
Classification
Type
D - Article in proceedings
CEP classification
—
OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
<a href="/en/project/EF15_003%2F0000466" target="_blank" >EF15_003/0000466: Artificial Intelligence and Reasoning</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Intelligent Computer Mathematics
ISBN
978-3-319-96811-7
ISSN
0302-9743
e-ISSN
1611-3349
Number of pages
16
Pages from-to
255-270
Publisher name
Springer Nature
Place of publication
—
Event location
Hagenberg
Event date
Aug 13, 2018
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000469337500022