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All satisfied instances of rules are executed in parallel in a “temporary” mode. After the temporary execution, the best rule is chosen to take action. The decision takes place in the context of a stack of earlier decisions. Those decisions are rated utilizing preferences and added to the stack by chosen rules. Preferences are determined together with the rules by an observer using knowledge about a problem. 5 Example The 8-puzzle is composed of eight numbered movable tiles in a 3 × 3 frame. One cell of the frame is empty; as a result, tiles can be moved around to form different patterns.

This model defines the electrical components that specify the computation. The input and output of the computation are voltage waves that can be observed by an oscilloscope. The represented values are usually less accurate than digitally represented values. The results of each computation can vary due to external influences. August 13, 2013 15:47 16 World Scientific Book - 9in x 6in Principles of Quantum Artificial Intelligence For this reason, each result of the computation is unique. The exact value cannot be reproduced without an error.

Suppose a vector is divided into α sub-vectors with α > β. A production recognizes β different sub-vectors and exchanges them for β different sub-vectors. Let α = 7 objects that were recognized in the visual scene. The seven visual objects are indicated at a certain position of the scene by symbols A, B, C, D, E, F and G. The task of proto logic is to identify a precondi- August 13, 2013 15:47 World Scientific Book - 9in x 6in 32 Principles of Quantum Artificial Intelligence tion formed by visual objects represented by the set B, C, G, β = 3.

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A Hacker's Revenge

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