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There is a heated debate about how far computers can map the complexity oftext analysis compared to the abilities of the whole team of human researchers.A "deep" analysis of a given text is still beyond the possibilities of moderncomputers.  In the heart of the existing computational text analysis algorithms there areoperations with real numbers, such as additions and multiplications accordingto the rules of algebraic fields. However, the process of "comparing" has avery precise mathematical structure, which is different from the structure ofan algebraic field. The mathematical structure of "comparing" can be expressedby using Boolean rings. We build on this structure and define the correspondingalgebraic equations lifting algorithms of comparative text analysis onto the"correct" algebraic basis. From this point of view, we can investigate thequestion of {\em computational} complexity of comparative text analysis.

The Complexity of Comparative Text Analysis -- "The Gardener is always the Murderer" says the Fourth Machine