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Berechnung und programm. I

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Let A be an algebraic structure and assign to each operation of A a nonnegative real number as the performance time of the operation on a given computer. The notion of a computation (or straight line program) in A yields two functions from finite subsets of A to nonnegative real numbers, namely the computational length (or complexity), and the computational depth. We characterize these functions in a quasiaxiomatic way and prove a number of general results, which will be applied to concrete problems elsewhere (see [12]–[15]).

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Strassen, V. Berechnung und programm. I. Acta Informatica 1, 320–335 (1972). https://doi.org/10.1007/BF00289512

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