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Jan 19, 2017 at 15:52 comment added David Richerby As far as I'm aware, your "alternative" definition in part 3 is the only one that's actually used. Sublinear space classes such as L and NL are very important and a model of space complexity that didn't include them doesn't seem to have much use.
Jan 19, 2017 at 15:47 history answered Ack. CC BY-SA 3.0