Simulation Preorder - Similarity of Separate Transition Systems

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)

    The lion shall never lie down with the lamb. The lion eternally shall devour the lamb, the lamb eternally shall be devoured. Man knows the great consummation in the flesh, the sensual ecstasy, and that is eternal. Also the spiritual ecstasy of unanimity, that is eternal. But the two are separate and never to be confused.
    —D.H. (David Herbert)

    The god or hero of the sculptor is always represented in a transition from that which is representable to the senses, to that which is not.
    Ralph Waldo Emerson (1803–1882)

    Not out of those, on whom systems of education have exhausted their culture, comes the helpful giant to destroy the old or to build the new, but out of unhandselled savage nature, out of terrible Druids and Berserkirs, come at last Alfred and Shakespeare.
    Ralph Waldo Emerson (1803–1882)