We introduce and develop the notion of symmetric monoidal sketch. Every symmetric monoidal sketch generates a generic model. If the sketch is commutative and single-sorted, the gen...
We introduce an extension of the derivatives of rational expressions to expressions denoting formal power series over partially commuting variables. The expressions are purely non...
The uniformity principle for traced monoidal categories has been introduced as a natural generalization of the uniformity principle (Plotkin's principle) for fixpoint operato...
We present a unifying solution to the problem of fusion of functions, where both the producer function and the consumer function have one accumulating parameter. The key idea in t...
Four quotient monoids over step sequences and one with compound generators are introduced and discussed. They all can be regarded as extensions (of various degrees) of Mazurkiewicz...