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Strong Bisimulation

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Labeled Transition System<br />

A labeled transition system over actions Σ is a pair (Q, T )<br />

consisting of:<br />

• a set Q = {q 0 , q 1 ,…} of states,<br />

• a ternary relation T ⊆ (Q ×Σ×Q), known as a transition relation.<br />

If (q, a, q’) ∈ T we write q ⎯<br />

a ⎯→q' , and we call q the source<br />

and q’ the target of the transition.<br />

Alternative definition: (S, T, { t ⎯⎯→<br />

: t ∈T<br />

} )<br />

• S is a set of states<br />

• T is a set of transition labels<br />

t<br />

• ⎯⎯→<br />

⊆ S × S is a transition relation for each t ∈ T.<br />

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