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...@@ -18,26 +18,17 @@ website: https://navid-roux.netlify.app/ ...@@ -18,26 +18,17 @@ website: https://navid-roux.netlify.app/
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### Description ### Description
I ([they/he](http://pronoun.is/they?or=he)) am a research assistant at kwarc after having previously obtained my M.Sc. degree at FAU. My primary research interest is *knowledge representation and processing* of formal content I am Navid ([they/he](http://pronoun.is/they?or=he)) and a research assistant at kwarc
such as foundations, logics, type theories, and math. currently funded on the [VollKI](https://kwarc.info/projects/voll-ki/) and [FrameIT project](https://kwarc.info/systems/frameit/).
My advisors are [Michael Kohlhase](https://kwarc.info/people/mkohlhase/) and [Florian Rabe](https://kwarc.info/people/frabe/) My research interest is *knowledge representation and processing* of formal declarative languages including
foundations, logics, type and set theories, and math.
My work is heavily inspired and closely tied to the [MMT project](https://kwarc.info/systems/mmt/),
where I develop theory in the framework given by the [MMT language](https://uniformal.github.io/doc/language/)
and apply it in practice in the [MMT system](https://github.com/UniFormal/MMT) (a reference implementation and associated ecosystem of software).
I am advised by [Michael Kohlhase](https://kwarc.info/people/mkohlhase/) and [Florian Rabe](https://kwarc.info/people/frabe/).
### Current Work ### Current Work
- **Master's Thesis:** (todo: long submitted, need to update this website) developing a framework of meta-programming operators on formalizations (in theory and [for the MMT system](https://kwarc.info/systems/mmt/)) that allows such operators to be easily specified, verified, and implemented. Operators translate specifications/theories/signatures over a logical framework to new ones.
Examples of operators:
- [*Systematic Translation of Formalizations of Type Theory
from Intrinsic to Extrinsic Style*](https://kwarc.info/people/frabe/Research/RR_softening_21.pdf) (joint work with Florian Rabe)
- Universal algebra: translating FOL-theories `T` to `Hom(T)` whose models are homomorphisms between `T`-models (=> automatic generation of, say, the theory of group homomorphisms from a specification `T = Group`); similarly translation of `T` to `Sub(T)`, `Cong(T)` whose models are substructures and congruences on `T`-models (see joint work with Florian Rabe: [*Structure-Preserving Diagram Operators*](https://kwarc.info/people/frabe/Research/RR_diagops_20.pdf))
- Translating specifications `T` of arbitrary formal systems in LF to `Logrel(T)` that is an "interface specification" for proofs by logical relations over `T`-syntax (e.g., `T` might formalize simply-typed lambda calculus and an implementation of `Logrel(T)` may be a proof of strong normalization)
- **Partial and higher-order logical relations for a logical framework** and representation therein (joint work with Florian Rabe): we used partial logical relations to translate Church-style formalizations of type theories to Curry-style ones, see ["Systematic Translation of Formalizations of Type Theory
from Intrinsic to Extrinsic Style"](https://kwarc.info/people/frabe/Research/RR_softening_21.pdf)
### Current Work on the side
- **[FrameIT](https://uframeit.org)** (see link for collaborators): developing a prototype of a serious educational game that exploits knowledge management and logic features of the [MMT system](https://kwarc.info/systems/mmt/). - **[FrameIT](https://uframeit.org)** (see link for collaborators): developing a prototype of a serious educational game that exploits knowledge management and logic features of the [MMT system](https://kwarc.info/systems/mmt/).
That way, we separate developing the 3D game mechanics from encoding and management of the serious game contents. That way, we separate developing the 3D game mechanics from encoding and management of the serious game contents.
...@@ -48,13 +39,20 @@ from Intrinsic to Extrinsic Style"](https://kwarc.info/people/frabe/Research/RR_ ...@@ -48,13 +39,20 @@ from Intrinsic to Extrinsic Style"](https://kwarc.info/people/frabe/Research/RR_
See our paper [*FrameIT: Detangling Knowledge Management from Game Design in Serious Games*](http://kwarc.info/kohlhase/submit/cicm20-frameit.pdf). See our paper [*FrameIT: Detangling Knowledge Management from Game Design in Serious Games*](http://kwarc.info/kohlhase/submit/cicm20-frameit.pdf).
- **MMT ecosystem:** developing [tools](https://github.com/ComFreek/mmteditor) and [multiple syntax highlighters](https://github.com/ComFreek/mmtpygments) making one's life even more enjoyable with the MMT system. - **Partial and higher-order logical relations for a logical framework** and representation therein (joint work with Florian Rabe): we used partial logical relations to translate Church-style formalizations of type theories to Curry-style ones, see ["Systematic Translation of Formalizations of Type Theory
from Intrinsic to Extrinsic Style"](https://kwarc.info/people/frabe/Research/RR_softening_21.pdf)
### Previous Work ### Previous Work
- **Publications:** click on the bibliography icon on the right.
- [*Systematic Translation of Formalizations of Type Theory
from Intrinsic to Extrinsic Style*](https://kwarc.info/people/frabe/Research/RR_softening_21.pdf) (joint work with Florian Rabe)
- **Master's Thesis:** [A Framework for Defining Structure-Preserving Diagram Operators](https://gl.kwarc.info/supervision/MSc-archive/-/blob/master/2022/RouxNavid.pdf) (todo: links to corrupted pdf)
- **Master's Seminar:** [*A Beginner's Guide to Logical Relations for a Logical Framework*](https://gl.kwarc.info/supervision/seminar/-/blob/master/WS2021/logrels/guide.pdf) ([slides](https://gl.kwarc.info/supervision/seminar/-/blob/master/WS2021/logrels/slides.pdf)) - **Master's Seminar:** [*A Beginner's Guide to Logical Relations for a Logical Framework*](https://gl.kwarc.info/supervision/seminar/-/blob/master/WS2021/logrels/guide.pdf) ([slides](https://gl.kwarc.info/supervision/seminar/-/blob/master/WS2021/logrels/slides.pdf))
- **Master's Project:** [*Structure-Preserving Diagram Operators*](https://gl.kwarc.info/supervision/projectarchive/-/blob/master/2020/Roux_Navid.pdf) - **Master's Project:** [*Structure-Preserving Diagram Operators*](https://gl.kwarc.info/supervision/projectarchive/-/blob/master/2020/Roux_Navid.pdf)
- **Bachelor's Thesis:** [*Refactoring of Theory Graphs in Knowledge Representation Systems*](https://navid-roux.netlify.app/bsc-thesis/) - **Bachelor's Thesis:** [*Refactoring of Theory Graphs in Knowledge Representation Systems*](https://navid-roux.netlify.app/bsc-thesis/)
- **MMT ecosystem:** developing [tools](https://github.com/ComFreek/mmteditor) and [multiple syntax highlighters](https://github.com/ComFreek/mmtpygments) making one's life even more enjoyable with the MMT system.
See [my personal website](https://navid-roux.netlify.app/) for Master's courses I have taken. See [my personal website](https://navid-roux.netlify.app/) for Master's courses I have taken.
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