Automated Theorem Proving: After 25 Years by W. W. Bledsoe, Donald W. Loveland

By W. W. Bledsoe, Donald W. Loveland

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Title: Automated Theorem Proving
Author: Bledsoe, W. W./ Loveland, Donald W. (EDT)
Publisher: Amer Mathematical Society
Publication Date: 1984/06/01
Number of Pages:
Binding sort: PAPERBACK
Library of Congress: 84009226

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Sometimes... it’s harder to continue, because there are several possibilities. Here, for example, if we want to introduce number 1, we’d have four options. Some people choose one cell tentatively, and then scratch it, if necessary (in computation we call this a “backtracking”). The puzzle I am about to describe has an intriguing name, and one you’ve surely heard about. You can write it as “sudoku” or “su doku”, as you prefer. It comes from the Japanese: “su” means “number” or “counting”, and “doku” means “single” or “unique”.

This is a surprising fact. How can we spend more time being passed by the vehicles in the other lane than in passing them, even though we all take the same time to travel the same distance? Although the explanation is simple, it is still difficult to visualize. When we pass the cars in the other lane, this happens because they have stopped or are traveling more slowly. At this point their lane is more bunched up, with less distance between the vehicles, so that we can pass many vehicles quickly. Let us suppose that we pass 50 in a minute.

In this way each person would need only one phone and one line. It was essential to create one or more telephone exchanges that could route the calls by operating the necessary switches. The first telephone exchange was inaugurated in January 1878 in New Haven, Connecticut, and was operated manually. It actually took a long time before telephone networks were automated, first using electromechanical and then electronic systems. Today’s telephone system consists of a gigantic network of switches. The symbols of our time, the computer and the internet, have resulted in the greatest concentration of switches of all, involving an extremely intricate series of connections controlled by super-rapid switches called transistors.

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