The book was edited by David Crystal. David Crystal is the editor of the book. All your tenses do make sense, as you say, but English doesn't always.
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Johnson13So you think in the above WAS is the only possible tense?Yes.
Johnson13Besides the above, I know we can say the book WAS/IS written by someone."Is" is rarely called for, if ever. I think that people mistakenly allow the literary present to spill out into the real world sometimes when writing of such things. When "