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Fundamentals of Compositional Rewriting Theory
A foundational theory of compositional categorical rewriting theory is presented, based on a collection of fibration-like properties …
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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 …
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Concurrency Theorems for Non-linear Rewriting Theories
Sesqui-pushout (SqPO) rewriting along non-linear rules and for monic matches is well-known to permit the modeling of fusing and cloning …
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Explicit formulae for all higher order exponential lacunary generating functions of Hermite polynomials
For a sequence $P=(p_n(x))_{n=0}^{\infty}$ of polynomials $p_n(x)$, we study the $K$-tuple and $L$-shifted exponential lacunary …
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Combinatorics of chemical reaction systems
We propose a concise stochastic mechanics framework for chemical reaction systems that allows to formulate evolution equations for …
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The algebras of graph rewriting
The concept of diagrammatic combinatorial Hopf algebras in the form introduced for describing the Heisenberg-Weyl algebra in Blasiak et …
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