Advances in Computational Verb Systems

By: Tao Yang

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Hardcover | 1 December 2001

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In the human language system there are two grammatical centres, nouns and verbs. A noun is described as the name of any person, place, or thing; while a verb is a word that shows any form of action. Human beings use words to express their own thoughts and to interpret the intentions of others. Natural languages play a very important role in human intelligence. To build intelligent machines, we need to bridge machines and human brains with a communication interface-a language system. However, we still need a paradigm to implement dynamic verbs in machines. This book explains how computational verb systems were developed in this context, and 'living' verbs are embedded into machines. By using these computational verb systems, 'dynamic' knowledge and experience can be embedded into machine intelligence. It also explains the unique role played by computational verb systems in information and sciences, and how we need to know different knowledge representing paradigms used in informational systems. In this book, not only the machine models of verbs, but also a complete artificial language studied from the dynamic model of human perception.

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Preface	p. 3
Introduction	p. 1
Towards a complete artificial language	p. 1
Adjectives	p. 3
Dynamic systems	p. 4
Basic Knowledge of Computational Verbs	p. 7
Definitions	p. 7
Categories of computational verbs	p. 9
Static verbs	p. 10
Node verbs	p. 11
Focus verbs	p. 15
Saddle verbs	p. 16
Center verbs	p. 18
Elementary computational verbs	p. 20
Simple verbs and compound verbs	p. 24
Verbification	p. 29
Segmentation of dynamics	p. 30
Time domain	p. 30
Frequency domain	p. 31
Examples of segmentation	p. 32
Construct computational verbs from observed samples	p. 33
Time-series analysis	p. 34
Method based on reconstruction of attractors	p. 37
Verb equality and verb similarity	p. 39
How to find the outer systems of verbs?	p. 50
Adverb and Adverbials	p. 55
Adjective-noun relation versus adverb-verb relation	p. 55
Adverbs and their models	p. 57
Adverbs concerning with time	p. 58
Adverbs concerning with place	p. 60
Adverbs concerning with perception	p. 61
Adverbs and topological conjugacy	p. 63
Applications to signal processing	p. 71
Verb Sets	p. 81
Sets, fuzzy sets and verb sets	p. 81
Definitions for (computational) verb sets	p. 84
Examples of verb set	p. 86
Properties of Verb Sets	p. 89
Applications to chaotic cryptanalysis	p. 94
Verb Logic: The Rational Aspects	p. 101
BE-transformation	p. 101
Definitions of verb logic	p. 104
Verb logic operations	p. 107
Examples of verb logic	p. 110
Reasoning using computational verbs	p. 113
Implication relations of computational verbs	p. 113
Inference using computational verb statements	p. 115
Examples	p. 118
What is Truth in Our Mind?	p. 123
Contexts of verb sentences	p. 123
New interpretation of the paradox of liar	p. 125
Verb Liar's Paradox	p. 129
Discussions	p. 137
Verb Numbers	p. 139
Definition of computational verb numbers	p. 140
Basics of verb numbers	p. 142
Classifications of verb numbers	p. 142
Basic definitions for verb numbers	p. 143
Verb Arithmetic	p. 146
Rules of verb arithmetic	p. 147
Examples of verb arithmetic	p. 150
Collapses of Verb Numbers	p. 151
Measurement of Verb Numbers	p. 159
V[subscript N] as metric space	p. 159
Distance between verb numbers based on their collapses	p. 162
Extension principle of verb numbers	p. 163
Extension principle	p. 164
An Example	p. 167
Notes	p. 169
Remarks	p. 169
Verb Statistics	p. 171
Basic knowledge of probability	p. 172
Verb Events	p. 172
Examples	p. 176
Conclusions	p. 178
Verb Control	p. 181
Design of verb controller with fuzzy errors	p. 181
Verbifications block	p. 182
Verb inference engine	p. 184
Deverbification block	p. 185
Design of verb controller with verb singletons	p. 185
Normalization	p. 185
Verbification	p. 185
Verb inference engine	p. 187
Deverbification	p. 187
Examples of verb control systems	p. 187
Linear verb control systems	p. 189
Using different controlling verbs	p. 189
Using single controlling verb	p. 194
Bibliography	p. 197
Table of Contents provided by Syndetics. All Rights Reserved.

Advances in Computational Verb Systems

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