Parallel between Definition of Chess Playing Program and Definition of AI

In this report we will explain some earlier papers [1, 2] which are about definition of Artificial Intelligence and about perfect AI. The definition of AI is intuitive in [1] and formal in [2]. The perfect AI is a program that satisfies the definition for AI but which is absolutely useless because of the combinatory explosion. Most people do not understand these papers because they never saw AI and that is why for them the notion of AI is too abstract. In this report we will make parallel between definition of chess playing program and definition of AI. Of course, the definition of chess playing program is useless because people already know what this is. Anyway, we will give you this definition because its construction follows closely the construction of the definition of AI. Also the results are almost the same with the only difference that we can optimise the perfect chess playing program in order to obtain a real chess playing program, but for the moment we cannot optimise the perfect AI in order to obtain a real AI. In this report we will not speak about AI. The only matter which we will observe will be about chess playing programs. If you understand the construction and the results about chess playing programs then you can read the papers [1, 2] and to see similar results about AI.

Algorithm of Consecutive Definition of Ranking of the Objects Nearest to the set Cyclic Relation between Objects

The problem of a finding of ranging of the objects nearest to the cyclic relation set by the expert between objects is considered. Formalization of the problem arising at it is resulted. The algorithm based on a method of the consecutive analysis of variants and the analysis of conditions of acyclicity is offered.

Experiments in Detection and Correction of Russian Malapropisms by Means of the WEB

Malapropism is a semantic error that is hardly detectable because it usually retains syntactical links between words in the sentence but replaces one content word by a similar word with quite different meaning. A method of automatic detection of malapropisms is described, based on Web statistics and a specially defined Semantic Compatibility Index (SCI). For correction of the detected errors, special dictionaries and heuristic rules are proposed, which retains only a few highly SCI-ranked correction candidates for the user’s selection. Experiments on Web-assisted detection and correction of Russian malapropisms are reported, demonstrating efficacy of the described method.

Formal Definition of Artificial Intelligence

* This publication is partially supported by the KT-DigiCult-Bg project.

Formal Definition of the Concept “Infos”

The concept INFOS is very important for understanding the information phenomena. Because of this, it is basic for the General Information Theory. The more precise formal definition of this concept is given in the paper.

Asymptotic Property of Eigenvalues and Eigenfunctions of the Laplace Operator in Domain with a Perturbed Boundary

2000 Mathematics Subject Classification: 35J05, 35C15, 44P05

α-Mellin Transform and One of Its Applications

MSC 2010: 35R11, 44A10, 44A20, 26A33, 33C45