Nicolas Behr
Nicolas Behr
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1
Tracelet Hopf algebras and decomposition spaces
Tracelets are the intrinsic carriers of causal information in categorical rewriting systems. In this work, we assemble tracelets into a …
Nicolas Behr
,
Joachim Kock
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Video
On Stochastic Rewriting and Combinatorics via Rule-Algebraic Methods
Building upon the rule-algebraic stochastic mechanics framework, we present new results on the relationship of stochastic rewriting …
Nicolas Behr
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Stochastic Graph Transformation For Social Network Modeling
Adaptive networks model social, physical, technical, or biological systems as attributed graphs evolving at the level of both their …
Nicolas Behr
,
Bello Shehu Bello
,
Sebastian Ehmes
,
Reiko Heckel
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DOI
Efficient Computation of Graph Overlaps for Rule Composition: Theory and Z3 Prototyping
Graph transformation theory relies upon the composition of rules to express the effects of sequences of rules. In practice, graphs are …
Nicolas Behr
,
Maryam Ghaffari Saadat
,
Reiko Heckel
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Tracelets and Tracelet Analysis Of Compositional Rewriting Systems
Taking advantage of a recently discovered associativity property of rule compositions, we extend the classical concurrency theory for …
Nicolas Behr
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Slides
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Rewriting Theory for the Life Sciences: A Unifying Theory of CTMC Semantics
The Kappa biochemistry and the MØD organo-chemistry frameworks are amongst the most intensely developed applications of rewriting …
Nicolas Behr
,
Jean Krivine
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Sesqui-Pushout Rewriting: Concurrency, Associativity and Rule Algebra Framework
Sesqui-pushout (SqPO) rewriting provides a variant of transformations of graph-like and other types of structures that fit into the …
Nicolas Behr
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Rule Algebras for Adhesive Categories
We show that every adhesive category gives rise to an associative algebra of rewriting rules induced by the notion of double-pushout …
Nicolas Behr
,
Pawel Sobocinski
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Stochastic mechanics of graph rewriting
We propose an algebraic approach to stochastic graph-rewriting which extends the classical construction of the Heisenberg-Weyl algebra …
Nicolas Behr
,
Vincent Danos
,
Ilias Garnier
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Slides
Variable transformation defects
We investigate defects between supersymmetric Landau-Ginzburg models whose superpotentials are related by a variable transformation. It …
Nicolas Behr
,
Stefan Fredenhagen
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