THEORETICAL COMPUTER SCIENCE

Nicolas Behr

CNRS researcher at IRIF

Institut de Recherche en Informatique Fondamentale · UMR 8243
CNRS · Université Paris Cité · Paris, France

I study the mathematical foundations of rewriting systems, with a focus on categorical structures, compositional reasoning, and stochastic dynamics.

Explore my research ↓
01 / RESEARCH

Structures. Systems. Reasoning.

I

Categorical and
algebraic rewriting

II

Compositional reasoning about
systems and their dynamics

III

Executable and
formalized mathematics

02 / PUBLICATIONS

Papers & preprints

2026

A Hyperdoctrinal Concurrency Theorem for Conditional Double-Pushout Rewriting

Nicolas Behr, Tom Hirschowitz, Ambroise Lafont, Vincent Moreau

2023

Fundamentals of Compositional Rewriting Theory

Nicolas Behr, Russ Harmer, Jean Krivine

Journal of Logical and Algebraic Methods in Programming

2023

Convolution Products on Double Categories and Categorification of Rule Algebras

Nicolas Behr, Paul-André Melliès, Noam Zeilberger

8th International Conference on Formal Structures for Computation and Deduction (FSCD 2023)

2023

A Living Monograph for Graph Transformation

Nicolas Behr, Russ Harmer

Graph Transformation

2022

Tracelet Hopf Algebras and Decomposition Spaces (Extended Abstract)

Nicolas Behr, Joachim Kock

Proceedings of the Fourth International Conference on Applied Category Theory, Cambridge, United Kingdom, 12-16th July 2021

2021

Stochastic Graph Transformation For Social Network Modeling

Nicolas Behr, Bello Shehu Bello, Sebastian Ehmes, Reiko Heckel

Proceedings Twelfth International Workshop on Graph Computational Models, Online, 22nd June 2021

Earlier publications30 entries +
2021

Rewriting Theory for the Life Sciences: A Unifying Theory of CTMC Semantics

Nicolas Behr, Jean Krivine, Jakob L. Andersen, Daniel Merkle

Theoretical Computer Science

2021

On Stochastic Rewriting and Combinatorics via Rule-Algebraic Methods

Nicolas Behr

Electronic Proceedings in Theoretical Computer Science

2021

Fusion of Interfaces in Landau-Ginzburg Models: A Functorial Approach

Nicolas Behr, Stefan Fredenhagen

Journal of High Energy Physics

2021

Concurrency Theorems for Non-Linear Rewriting Theories

Nicolas Behr, Russ Harmer, Jean Krivine

Graph Transformation - 14th International Conference, ICGT 2021, Held as Part of STAF 2021, Virtual Event, June 24-25, 2021, Proceedings

2020

Tracelets and Tracelet Analysis Of Compositional Rewriting Systems

Nicolas Behr

Proceedings Applied Category Theory 2019, University of Oxford, UK, 15-19 July 2019

2020

Rule Algebras for Adhesive Categories

Nicolas Behr, Pawel Sobocinski

Logical Methods in Computer Science

2020

Rewriting Theory for the Life Sciences: A Unifying Framework for CTMC Semantics

Nicolas Behr, Jean Krivine

Graph Transformation, 13th International Conference, ICGT 2020, Held as Part of STAF 2020, Bergen, Norway, June 25–26, 2020, Proceedings

2020

Efficient Computation of Graph Overlaps for Rule Composition: Theory and Z3 Prototyping

Nicolas Behr, Reiko Heckel, Maryam Ghaffari Saadat

Proceedings of the Eleventh International Workshop on Graph Computation Models, Online-Workshop, 24th June 2020

2020

Combinatorial Conversion and Moment Bisimulation for Stochastic Rewriting Systems

Nicolas Behr, Vincent Danos, Ilias Garnier

Logical Methods in Computer Science

2019

Sesqui-Pushout Rewriting: Concurrency, Associativity and Rule Algebra Framework

Nicolas Behr

Electronic Proceedings in Theoretical Computer Science

2019

Operator Ordering and Solution of Pseudo-Evolutionary Equations

Nicolas Behr, Giuseppe Dattoli, Ambra Lattanzi

Axioms

2019

Operational Methods in the Study of Sobolev-Jacobi Polynomials

Nicolas Behr, Giuseppe Dattoli, G'erard H.E. Duchamp, Silvia Licciardi, Karol A. Penson

Mathematics

2019

Dual Numbers and Operational Umbral Methods

Nicolas Behr, Giuseppe Dattoli, Ambra Lattanzi, Silvia Licciardi

Axioms

2018

Rule Algebras for Adhesive Categories

Nicolas Behr, Pawel Sobocinski

27th EACSL Annual Conference on Computer Science Logic (CSL 2018)

2018

Explicit Formulae for All Higher Order Exponential Lacunary Generating Functions of Hermite Polynomials

N. Behr, G. H. E. Duchamp, K. A. Penson

ArXiv e-prints

2017

Combinatorics of Chemical Reaction Systems

Nicolas Behr, Gerard HE Duchamp, Karol A Penson

arXiv preprint arXiv:1712.06575

2016

Stochastic Mechanics of Graph Rewriting

Nicolas Behr, Vincent Danos, Ilias Garnier

Proceedings of the 31st Annual ACM/IEEE Symposium on Logic in Computer Science - LICS '16

2016

Holography as a Highly Efficient Renormalization Group Flow. II. An Explicit Construction

Nicolas Behr, Ayan Mukhopadhyay

Physical Review D

2016

Holography as a Highly Efficient Renormalization Group Flow. I. Rephrasing Gravity

Nicolas Behr, Stanislav Kuperstein, Ayan Mukhopadhyay

Physical Review D

2015

Matrix Factorisations for Rational Boundary Conditions by Defect Fusion

Nicolas Behr, Stefan Fredenhagen

Journal of High Energy Physics

2014

Renormalization and Redundancy in 2d Quantum Field Theories

Nicolas Behr, Anatoly Konechny

Journal of High Energy Physics

2012

Variable Transformation Defects (Presented at String-Math 2011)

N. Behr, S. Fredenhagen

American Mathematical Society

2011

New Solid State Lens for Reflective Neutron Focusing

Roland Bartmann, Nicolas Behr, Andr'e Hilger, Thomas Krist

Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment

2010

D-Branes and Matrix Factorisations in Supersymmetric Coset Models

Nicolas Behr, Stefan Fredenhagen

Journal of High Energy Physics

2008

Optical Antenna Properties of Scanning Probe Tips: Plasmonic Light Scattering, Tip-Sample Coupling, and Near-Field Enhancement

Nicolas Behr, Markus B. Raschke

The Journal of Physical Chemistry C

2007

Reply to “Comment on `Scanning-Probe Raman Spectroscopy with Single-Molecule Sensitivity' ”

Catalin C. Neacsu, Jens Dreyer, Nicolas Behr, Markus B. Raschke

Phys. Rev. B

2006

Ultrahigh Resolution Scattering Near-Field Vibrational Microscopy with Single Molecule Sensitivity

Catalin C. Neacsu, Jens Dreyer, Nicolas Behr, Markus B. Raschke

2006 Conference on Lasers and Electro-Optics and 2006 Quantum Electronics and Laser Science Conference

2006

Scanning-Probe Raman Spectroscopy with Single-Molecule Sensitivity

Catalin C. Neacsu, Jens Dreyer, Nicolas Behr, Markus B. Raschke

Physical Review B

03 / RESEARCH LOGBOOK

Talks & activities

2026

ANR CoREACT Instantiation Calculus WG, LIX, École Polytechnique, France

2025

Earlier activities · 2017–202479 entries +

2024

Quo Transformes? workshop (invited talk), University of Pisa, Italy

2023

2022

Discrete-event systems and Environmental Sciences meeting (talk), Centre Inria de Paris, France

2019

2018

2017

04 / RECORDINGS

Recorded talks

More recordings +
05 / BACKGROUND

Research &
collaboration

CNRS · IRIF · Université Paris Cité

I am a member of the Preuves, programmes et systèmes group at IRIF.

Together with Andrea Corradini, Reiko Heckel, and Jean Krivine, I organized the GReTA seminar series on graph transformation theory and applications.

My research software includes ReSMT, a Python package exploring rewriting-theoretic operations using the Z3 theorem prover.

Previous positions & education +

Previously, I have been a Short-Term Fellow at CRI Paris in spring and summer of 2020, working on the development of tracelet-analysis algorithms for the biochemistry platform Kappa and for the organo-chemistry platform MØD. I previously held a Marie Skłodowska-Curie Individual Fellowship (2017-2019), working in the field of theoretical computer science at IRIF, Université Paris Diderot. The aim of my project with Jean Krivine (IRIF) consisted in developing extensions of my rule-algebraic framework to restricted variants of rewriting and to the biochemical reaction language Kappa. I am also frequently to be found at the LPTMC of the UPMC/Sorbonne/Paris 06, working with Gérard H.E. Duchamp (Paris 13) and Karol A. Penson (Paris 6) on topics in combinatorics. My previous positions include a Postdoc position with Vincent Danos at ENS Paris and at University of Edinburgh (2014-2017) and a Postdoc position in mathematical physics with Anatoly Konechny at Heriot-Watt University in Edinburgh (2011-2014).

PhD in Mathematical Physics, 2012
Max Planck Institute for Gravitational Physics Golm and Humboldt University Berlin

Diploma in Mathematical Physics, 2008
Max Planck Institute for Gravitational Physics Golm and Humboldt University Berlin