Contents:Front Cover; Algebraic Linguistics; Analytical Models; Copyright Page; Contents; Preface; Chapter I. Languages and Partitions; 1. Languages and Grammars; 2. Enriching the Structure of a Language; 3. The Notion of Natural Language; 4. Distribution; 5. P-Structures; Derivative of a Partition; 6. P-Domination and Some of Its Properties; 7. Comparable Partitions with the Same Derivative; 8. Partitions with the Same Derivative; 9. Conditions That a Partition Be a Derivative; 10. Mixed Cells; Union and Intersection of Two Partitions; 11. Classes and Their Structure
12. Partitions of the Free Semigroup Generated by ?13. Bibliographic Remarks; References; Chapter II. Linguistic Typology; 1. Adequate Languages; 2. Homogeneous Languages; 3. Various Types of Homogeneous Languages; 4. Completely Adequate Languages; 5. Other Types of Adequate Languages; 6. Various Types of Linguistic Isomorphism; 7. Some Characteristics of Finite-State Languages; 8. Some Applications to Natural Languages; 9. Bibliographic Remarks; References; Chapter III. Parts of Speech and Syntactic Types; 1. Introduction; 2. Parts of Speech as Cells of the Derivative Partition P'
3. Grammaticality4. Linguistic Explanation of the Model of Part of Speech; 5. Parts of Speech in Adequate and in Homogeneous Languages; 6. Syntactic Types; 7. Analysis of the English Verb Phrase; 8. The Associative Syntactic Calculus; 9. Nonassociative Syntactic Calculus; 10. Categorial Grammars; References; Chapter IV. Grammatical Gender; 1. Introduction; 2. From the Natural to the Grammatical Gender; 3. Grammatical Genders in Natural Languages; 4. Mathematical Models of Grammatical Gender; 5. Grammatical Genders in Homogeneous Languages; 6. Categories in the Sense of Revzin
7. Subparadigms and Subfamilies8. A Measure of the Difference between Genders; 9. Personal Genders in Rumanian; References; Chapter V. Configurations; 1. Introduction; 2. P-Configurations and P-Structures of Order n; 3. The P-Configuration and the P-Structure Language Types of Language; 4. Examples of E-Configurations; 5. Removal of Parasitic Elements; 6. Semiregular P-Configurations; 7. Normal P-Configurations, Dependencies, and Constituents; 8. P-Configurations, P-Structures, and Regularly Finer Partitions; 9. Configurations in the Sense of Gladkii
10. Gladkii Configurations and Generative Grammars11. Quasi-Configurations and Syntagms; 12. Final Remarks; References; Chapter VI. Subordination and Projectivity; 1. Introduction; 2. Some Notions and Results concerning Graph Theory; 3. Simple Strings and Proper Trees; 4. An Axiomatic Description of Simple Strings; 5. Elementary Strings and Operations with Simple Strings; 6. Subordination in the Sense of Nebeský; 7. Various Types of Projectivity. Properties of Montonically Projective Strings; 8. Relations between Various Types of Projectivity; 9. Projectivity in Natural Languages
10. Simple Projective Strings