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This monograph was written over the past four years to serve as a text for advanced graduate students in electrical engineering interested in the techniques of automatic speech recognition and text to speech synthesis. However, the book evolved over a considerably longer period for a significantly broader purpose. Since 1972, I have sought to demonstrate how mathematical analysis captures and illuminates the phenomena of language and mind. Linguists, electrical engineers, and psychologists have collectively contributed to our knowledge of speech communication. In recognition of the interdisciplinary nature of the subject, this book is written so that it may be construed as either a mathematical theory of language or an introduction to the technologies of speech recognition and synthesis. This is appropriate since the speech technologies rest on psycholinguistic concepts of the modularity of the human language engine. On the other hand, the models and techniques developed by electrical engineers can quite properly be regarded as the single most comprehensive collection of linguistic knowledge ever assembled. Moreover, linguistic theories can only be applied and tested by embedding them in a mathematically rational and computationally tractable framework. However, mathematical and computational models are useful only to the extent that they capture the essential structure and function of the language engine.
Preliminaries
Mathematical models of linguistic structure
Syntactic analysis
Grammatical Inference
Information-theoretic analysis of speech communication
Automatic speech recognition and constructive theories of language
Automatic speech understanding and semantics
Theories of mind and language
A Speculation on the prospects for a science of mind