Final coalgebras for a functor serve as semantic domains for state based systems of various types. For example, formal languages, streams, nonwell-founded sets and behaviors of CCS...
Abstract. Viewing discrete-time causal linear systems as (Mealy) coalgebras, we describe their semantics, minimization and realisation as universal constructions, based on the fin...
Stream circuits are a convenient graphical way to represent streams (or stream functions) computed by finite dimensional linear systems. We present a sound and complete expression...
It can be traced back to Brouwer that continuous functions of type StrA B, where StrA is the type of infinite streams over elements of A, can be represented by well founded, Abra...
Coalgebra offers a unified theory of state based systems, including infinite streams, labelled transition systems and deterministic automata. In this paper, we use the coalgebrai...