Part I: General Mathematical Models. The status of research in the field of analytical algebraic models of language (S. Marcus). On Galois connexions (E. Popescu). A model of anaphora resolution based on distributional-algebraic approach in analytical models theory of algebraic linguistics (L.T. Polkowski, M. Semeniuk-Polkowska). Anaphoric instantiation problems in an inferential model of utterance representation (F.J. Salguero-Lamillar). A formal approach to nominalization of predicates (Á. Nepomuceno-Fernández). Nominalization in locally standard grammar (A. Sweet). Topological linguistics and the study of linguistic variation (Á. López-García). Semantic space model and linguistic inadequacy (N. Kasumov). How to infer non-formal conclusions from mathematical models in the analysis of natural language: a preliminary case study in communication theory (C. Martín-Vide). The line in phonology (M. van Oostendorp). Part II: Formal Grammar Models. An overview of stratified feature grammar (D.E. Johnson, L.S. Moss). A rewriting system for natural language syntax that is non-local and mildly context sensitive (O. Rambow, G. Satta). Restricted discontinuous phrase structure grammar and its ramifications (C.M. Vogel, T. Erjavec). Polychrome tree grammars (PTGs): A formal presentation (M. Cori, J.-M. Marandin). On the characterization of some generative grammars by numerical functions (G.V. Orman). Approximation in languages (C. Jalobeanu). On some formal properties of coordination (C. Thiersch). Are features inherited? (C. Sijtsma). A compact syntactic representation (V. Lombardo, L. Lesmo). Non-finite auxiliaries as affixes (B. Sigurd). Formal description of complex noun phrases with predicative nouns (J. Royauté). Part III: Lexical, Formal Semantics and Discursive Models. Semantic typing and degrees of polymorphism (J. Pustejovsky). Entailment in logic and in the lexicon (B.
The present volume contains some selected topics of current interest around the world in the mathematical analysis of natural language. The book is divided into four sections:
- analytical algebraic models
- models from the theory of formal grammars and automata, with interest mainly in syntax
- model-theoretic concepts in semantics or pragmatics, and
- a final section containing some applications in computational linguistics.
The varied perspectives illustrated in the book confirm that Mathematical Linguistics has finally introduced scientific methods into a previously fuzzy field, through the use of mathematical reasoning. The text will contribute to a fruitful convergence between linguists, mathematicians, logicians, computer scientists, cognitive scientists and others interested in the formal treatment of natural language and the research of its properties.
- No. of pages:
- © North Holland 1994
- 3rd March 1994
- North Holland
- eBook ISBN: