0
votes
1answer
183 views

Initial Algebra example

If the definition of Initial Algebra is: "An object is initial if there exists a unique morphism from the object to every object in the category" Why do we need such object, and could any one give ...
5
votes
1answer
132 views

Late and Early Bisimulation

This is a follow up to my earlier questions on coinduction and bisimulation. A relation $R \subseteq S \times S$ on the states of an LTS is a bisimulation iff $\forall (p,q)\in R,$ $$ ...
12
votes
3answers
738 views

When are two simulations not a bisimulation?

Given a labelled transition system $(S,\Lambda,\to)$, where $S$ is a set of states, $\Lambda$ is a set of labels, and $\to\subseteq S\times\Lambda\times S$ is a ternary relation. As usual, write $p ...