Similarity of Separate Transition Systems
When comparing two different transition systems (S', Λ', →') and (S' ', Λ' ', →' '), the basic notions of simulation and similarity can be used by forming the disjoint composition of the two machines, (S, Λ, →) with S = S' ∐ S' ', Λ = Λ' ∪ Λ' ' and → = →' ∪ →' ', where ∐ is the disjoint union operator between sets.
Read more about this topic: Simulation Preorder
Famous quotes containing the words similarity of, similarity, separate, transition and/or systems:
“Incompatibility. In matrimony a similarity of tastes, particularly the taste for domination.”
—Ambrose Bierce (1842–1914)
“Incompatibility. In matrimony a similarity of tastes, particularly the taste for domination.”
—Ambrose Bierce (1842–1914)
“How separate and unearthly love is,
Or women are, or what they do,
Or in our young unreal wishes
Seem to be: synthetic, new,
And natureless in ecstasies.”
—Philip Larkin (1922–1986)
“When I was going through my transition of being famous, I tried to ask God why was I here? what was my purpose? Surely, it wasn’t just to win three gold medals. There has to be more to this life than that.”
—Wilma Rudolph (1940–1994)
“Our little systems have their day;
They have their day and cease to be:
They are but broken lights of thee,
And thou, O Lord, art more than they.”
—Alfred Tennyson (1809–1892)