Dictionary
reachability
noun
The condition of being reachable
Exact(8)
Apple has an answer in something it calls Reachability.
"We examined the reachability of social networking sites from our measurement infrastructure within Turkey, and found nothing unusual.
Apple calls it "Reachability", which sounds like something out of an unsuccessful Mad Men all-nighter.
Just a decade or two ago, those same people would have let a landline on their desk go unanswered during a meeting, so different were the expectations for reachability.
Veltman's update logic can be accommodated in public announcement logic (compare the entry on common knowledge) by allowing public announcements of the form ◊φ, where the modality is read as reachability under common knowledge.
It has long been known that certain problems – e.g. matrix multiplication, graph reachability, and sorting – admit parallel algorithms which in some cases are faster than the most efficient known sequential ones (see, e.g., Papadimitriou 1994).
For instance, given a deterministic Turing machine \(T\) which decides \(X\) in polynomial space, it may be shown that it is possible to construct a QBF-formula \ \phi_{T,x}\) of length polynomial in \(\lvert x\rvert\) which expresses using the reachability method that there is a path in the configuration graph for \(T\) from the initial configuration \(C_0 x)\) to an accepting configuration.
Theorem 3.2.ii is standardly demonstrated using a related technique called the reachability method (Papadimitriou 1994).
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