Many situations can be modeled as solutions of systems of simultaneous equations. If the functions of these equations monotonically increase in all bound variables, then the existe...
We give an axiomatic treatment of fixed-point operators in categories. A notion of iteration operator is defined, embodying the equational properties of iteration theories. We p...
Fixed point calculus is about the solution of recursive equations de˛ned by a monotonic endofunction on a partially ordered set. This tutorial presents the basic theory of ˛xed ...
We show that for several classes of idempotent semirings the least fixed-point of a polynomial system of equations X = f(X) is equal to the least fixed-point of a linear system obt...
Javier Esparza, Stefan Kiefer, Michael Luttenberge...