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Time polynomial in input or output

Published online by Cambridge University Press:  12 March 2014

Yuri Gurevich
Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, Michigan 48109 Institute of Mathematics, The Hebrew University, Jerusalem, Israel
Saharon Shelah
Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903


We introduce the class PIO of functions computable in time that is polynomial in max {the length of input, the length of output}, observe that there is no notation system for total PIO functions but there are notation systems for partial PIO functions, and give an algebra of partial PIO functions from binary strings to binary strings.

Research Article
Copyright © Association for Symbolic Logic 1989

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