# The ELFE System - Verifying Mathematical Proofs of Undergraduate Students

### Maximilian Doré, Krysia Broda

#### Abstract

Elfe is an interactive system for teaching basic proof methods in discrete mathematics. The user inputs a mathematical text written in fair English which is converted to a special data-structure of first-order formulas. Certain proof obligations implied by this intermediate representation are checked by automated theorem provers which try to either prove the obligations or find countermodels if an obligation is wrong. The result of the verification process is then returned to the user. Elfe is implemented in Haskell and can be accessed via a reactive web interface or from the command line and background libraries for sets, relations and functions have been developed. It has been tested by students in the beginning of their mathematical studies.

Download#### Paper Citation

#### in Harvard Style

Doré M. and Broda K. (2018). **The ELFE System - Verifying Mathematical Proofs of Undergraduate Students**.In *Proceedings of the 10th International Conference on Computer Supported Education - Volume 2: CSEDU,* ISBN 978-989-758-291-2, pages 15-26. DOI: 10.5220/0006681000150026

#### in Bibtex Style

@conference{csedu18,

author={Maximilian Doré and Krysia Broda},

title={The ELFE System - Verifying Mathematical Proofs of Undergraduate Students},

booktitle={Proceedings of the 10th International Conference on Computer Supported Education - Volume 2: CSEDU,},

year={2018},

pages={15-26},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0006681000150026},

isbn={978-989-758-291-2},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 10th International Conference on Computer Supported Education - Volume 2: CSEDU,

TI - The ELFE System - Verifying Mathematical Proofs of Undergraduate Students

SN - 978-989-758-291-2

AU - Doré M.

AU - Broda K.

PY - 2018

SP - 15

EP - 26

DO - 10.5220/0006681000150026