Combining representation formalisms for reasoning upon mathematical knowledge

M d'Aquin, R Bunoiu, H Cirstea, M Lenczner… - Proceedings of the 12th …, 2023 - dl.acm.org
Knowledge in mathematics (definitions, theorems, proofs, etc.) is usually expressed in a way
that combines natural language and mathematical expressions (eg equations). Using an …

[PDF][PDF] From iterative balance models to directly calculating explicit models for real-time process optimization and scheduling

T Björkqvist, O Suominen, M Vilkko, M Korpi - 2016 9th EUROSIM …, 2018 - ep.liu.se
Optimal utilization of complex processes involves realtime operational optimization and
scheduling, especially in cases where the production line consists of both continuous and …

Closed combination of context-embedding iterative strategies

W Belkhir, N Ratier, DD Nguyen, M Lenczner - 2016 - inria.hal.science
This work is motivated by the challenging problem of the computer-aided generation of
approximations (viewed as a series of transformations) of partial derivative equations. In this …

[PDF][PDF] Journal of Logical and Algebraic Methods in Programming

W Belkhir, N Ratier, DD Nguyen, M Lenczner - 2021 - members.femto-st.fr
The general context of this article is the incremental design of complex models using a
notion of extension. The models we are considering are described by abstract terms and …

Unification and combination of a class of traversal strategies made with pattern matching and fixed-points

W Belkhir, N Ratier, DD Nguyen, M Lenczner - Journal of Logical and …, 2022 - Elsevier
Motivated by an ongoing project on computer aided derivation of asymptotic models
governed by partial differential equations, we introduce a class of term transformations that …

[PDF][PDF] Unification and combination of iterative insertion strategies with one-step traversals

W Belkhir, N Ratier, DD Nguyen… - arXiv preprint arXiv …, 2019 - researchgate.net
Motivated by an ongoing project on the computer aided derivation of multiscale partial
differential equation models, we introduce a class of term transformations that consists in …

Unification and combination of iterative insertion strategies with rudimentary traversals and failure

W Belkhir, N Ratier, DDNM Lenczner - arXiv preprint arXiv:1904.10901, 2019 - arxiv.org
We introduce a new class of extensions of terms that consists in navigation strategies and
insertion of contexts. We introduce an operation of combination on this class which is …

Automatic assembly of multiscale models and its application to a family of homogenized models of wave propagation through interfaces having a periodic structure

M Lenczner, W Belkhir, N Ratier… - … and Multi-Physics …, 2019 - ieeexplore.ieee.org
MEMSALab is a software in development that will al-low the generation of multiscale multi-
physics model families based on their derivation. Here, we present a mini-language to …

Conversion of Iterative Balance Models to Directly Calculating Explicit Models for Real-time Process Optimization and Scheduling

T Björkqvist, O Suominen, M Vilkko… - … Notes Europe SNE, 2016 - researchportal.tuni.fi
Optimal utilization of complex processes involves real-time operational optimization and
scheduling, especially in cases where the production line consists of both continuous and …