CHAPTER 14

Upside-Down ∀s and Algorithms—Computational Formalisms and Theory

Alan Dix,     Lancaster University, England

14.1 MOTIVATION

The time delay as Internet signals cross the Atlantic is about 70 milliseconds, about the same time it takes for a nerve impulse to run from your finger to your brain. Parallels between computation and cognition run as far back as computers themselves. Although at first it feels as if the cold, abstruse, more formal aspects of computation are divorced from the rich ecology of the human-computer interface, the two are intimately bound. Mathematics has also been part of this picture. Indeed, the theory of computation predates digital computers themselves, as mathematicians pondered the limits of human reasoning ...

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