On the use of inaccessible numbers and order indiscernibles in lower bound arguments for random access machines

Wolfgang Maass · Journal of Symbolic Logic · 1988

Abstract We prove optimal lower bounds on the computation time for several well-known test problems on a quite realistic computational model: the random access machine. These lower bound arguments may be of special interest for logicians because they rely on finitary analogues of two important concepts from mathematical logic: inaccessible numbers and order indiscernibles.

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