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GuillaumeGen authored Dec 4, 2023
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Each file of this directory is an encoding of one theory in Dedukti.

Most theories are presented in [A Modular Construction of Type Theories](https://lmcs.episciences.org/10959/pdf)

## FOL

Dedukti file: *fol.dk*

An encoding of First-Order logic (see Section. 5 of [Dedukti: a Logical Framework based on the λΠ-Calculus Modulo Theory](http://www.lsv.fr/~dowek/Publi/expressing.pdf)).
An encoding of First-Order logic (see Section. 5 of [Dedukti: a Logical Framework based on the λΠ-Calculus Modulo Theory](https://arxiv.org/abs/2311.07185)).

## CiC

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Dedukti file: *stt.dk*

An encoding of Simple Type Theory (see Section. 6 of [Dedukti: a Logical Framework based on the λΠ-Calculus Modulo Theory](http://www.lsv.fr/~dowek/Publi/expressing.pdf))
An encoding of Simple Type Theory (see Section. 6 of [Dedukti: a Logical Framework based on the λΠ-Calculus Modulo Theory](https://arxiv.org/abs/2311.07185))

## STTforall

Dedukti file: *sttforall.dk*

Generator: From Dedukti[CiC] files (coming soon)

An encoding of Simple Type Theory with prenex polymorphism (see [Sharing a library between proof assistants: Reaching out to the HOL family](http://www.lsv.fr/~fthire/research/sttforall/index.php) (paper submitted to FSCD 2018))
An encoding of Simple Type Theory with prenex polymorphism (see [Sharing a library between proof assistants: Reaching out to the HOL family](https://arxiv.org/abs/1807.01873))

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