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)

    You can’t separate peace from freedom because no one can be at peace unless he has his freedom.
    Malcolm X (1925–1965)

    There is not any present moment that is unconnected with some future one. The life of every man is a continued chain of incidents, each link of which hangs upon the former. The transition from cause to effect, from event to event, is often carried on by secret steps, which our foresight cannot divine, and our sagacity is unable to trace. Evil may at some future period bring forth good; and good may bring forth evil, both equally unexpected.
    Joseph Addison (1672–1719)

    The geometry of landscape and situation seems to create its own systems of time, the sense of a dynamic element which is cinematising the events of the canvas, translating a posture or ceremony into dynamic terms. The greatest movie of the 20th century is the Mona Lisa, just as the greatest novel is Gray’s Anatomy.
    —J.G. (James Graham)