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Lower bounds on the complexity of real-time branching programs. (English) Zbl 0664.68046
Author’s summary: “A \((2m)^{n/24}\) lower bound is given for the real- time decision graph complexity of the Dyck language \(D_ m^*\). Furthermore, a \(2^{n/48}\) lower bound for the real-time branching program complexity of an encoding of the Dyck language \(D^*_ 2\) is proved. Previously known similar lower bounds are \(2^{c\cdot n}\), \(c\approx 10^{-13}\), for one-time-only branching programs (a less powerful model), and \(2^{\Omega (\sqrt{n})}\) for real-time branching programs.”
Reviewer: D.Lucanu

MSC:
68Q25 Analysis of algorithms and problem complexity
68Q05 Models of computation (Turing machines, etc.) (MSC2010)
68Q45 Formal languages and automata
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