On formal models for cognitive linguistics

Cognitive linguistics is an emerging discipline that studies the cognitive properties of natural languages and the cognitive models of languages in computational linguistics, cognitive computing, and computational intelligence. This paper presents the theoretical framework of cognitive linguistics in order to systematically formalize the syntaxes and grammars of natural languages. An abstract language model of cognitive linguistics is created at the top level. Based on it, the cognitive structures of languages at the levels of lexis, phrase, clauses, sentence, paragraph, and essay are formally modeled from the bottom up. Using contemporary denotational mathematics, the deductive grammar of English is formally modeled and rigorously analyzed. The basic research provides support for a wide range of applications in computational linguistics, cognitive informatics, online text processing, web search engines, machine language comprehension, autonomous machine learning, smart cell phones, semantic computing, and computing with words.

[1]  Vyvyan Evans,et al.  Cognitive Linguistics: An Introduction , 2001 .

[2]  Yingxu Wang.  Inference Algebra (IA): A Denotational Mathematics for Cognitive Computing and Machine Reasoning (I) , 2011, Int. J. Cogn. Informatics Nat. Intell..

[3]  C. I. Lewis,et al.  The Semantic Conception of Truth and the Foundations of Semantics , 1944 .

[4]  Witold Pedrycz,et al.  A Doctrine of Cognitive Informatics (CI) , 2009, Fundam. Informaticae.

[5]  Yingxu Wang,et al.  Semantic Manipulations and Formal Ontology for Machine Learning based on Concept Algebra , 2011, Int. J. Cogn. Informatics Nat. Intell..

[6]  Andreas Langlotz,et al.  Idiomatic Creativity: A Cognitive-Linguistic Model of Idiom-Representation And Idiom-Variation in English , 2006 .

[7]  Yingxu Wang,et al.  On Concept Algebra: A Denotational Mathematical Structure for Knowledge and Software Modeling , 2008, Int. J. Cogn. Informatics Nat. Intell..

[8]  Richard Montague,et al.  The Proper Treatment of Quantification in Ordinary English , 1973 .

[9]  Yingxu Wang,et al.  COGNITIVE LINGUISTIC PERSPECTIVES ON THE CHINESE LANGUAGE , 2013 .

[10]  Yingxu Wang,et al.  On Cognitive Informatics , 2002, Proceedings First IEEE International Conference on Cognitive Informatics.

[11]  Uli Sauerland,et al.  Interfaces + Recursion = Language?: Chomsky's Minimalism and the View from Syntax-Semantics , 2007 .

[12]  Yingxu Wang,et al.  The OAR Model of Neural Informatics for Internal Knowledge Representation in the Brain , 2007, Int. J. Cogn. Informatics Nat. Intell..

[13]  Yingxu Wang,et al.  On Concept Algebra for Computing with Words (CWW) , 2010, Int. J. Semantic Comput..

[14]  Yingxu Wang,et al.  On Contemporary Denotational Mathematics for Computational Intelligence , 2008, Trans. Comput. Sci..

[15]  Alaa A. Kharbouch,et al.  Three models for the description of language , 1956, IRE Trans. Inf. Theory.

[16]  Noam Chomsky,et al.  Three models for the description of language , 1956, IRE Trans. Inf. Theory.

[17]  Cedric Boeckx,et al.  The biolinguistic enterprise : new perspectives on the evolution and nature of the human language faculty , 2011 .

[18]  Noam Chomsky,et al.  On Certain Formal Properties of Grammars , 1959, Inf. Control..

[19]  Robert C. Berwick.  Songs to syntax: Cognition, combinatorial computation, and the origin of language , 2011, IEEE 10th International Conference on Cognitive Informatics and Cognitive Computing (ICCI-CC'11).

[20]  Yingxu Wang,et al.  Contemporary Cybernetics and Its Facets of Cognitive Informatics and Computational Intelligence , 2009, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[21]  Noam Chomsky.  Some Concepts and Consequences of the Theory of Government and Binding , 1982 .

[22]  David Crystal,et al.  The Cambridge Encyclopedia of Language , 2012, Modern Language Review.

[23]  Yingxu Wang,et al.  On Abstract Intelligence: Toward a Unifying Theory of Natural, Artificial, Machinable, and Computational Intelligence , 2009, Int. J. Softw. Sci. Comput. Intell..

[24]  Yingxu Wang,et al.  Software Engineering Foundations: A Software Science Perspective , 2007 .

[25]  Yingxu Wang,et al.  A Formal Syntax of Natural Languages and the Deductive Grammar , 2009, Fundam. Informaticae.

[26]  Noam Chomsky,et al.  वाक्यविन्यास का सैद्धान्तिक पक्ष = Aspects of the theory of syntax , 1965 .

[27]  László Dezsö,et al.  Universal Grammar , 1981, Certainty in Action.

[28]  Witold Pedrycz,et al.  Cognitive Informatics and Cognitive Computing in Year 10 and Beyond , 2011, Int. J. Cogn. Informatics Nat. Intell..

[29]  A. D. Shveĭt︠s︡er,et al.  Introduction to sociolinguistics , 1986 .

[30]  Richard Montague,et al.  ENGLISH AS A FORMAL LANGUAGE , 1975 .

[31]  Yingxu Wang,et al.  Cognitive informatics models of the brain , 2006, IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews).

[32]  Shushma Patel,et al.  A layered reference model of the brain (LRMB) , 2006, IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews).

[33]  John Cunyus Hodges.  Harbrace College Handbook , 1956 .

[34]  H. Hughes.  The Cambridge Grammar of the English Language , 2003 .

[35]  Yingxu Wang,et al.  On Formal and Cognitive Semantics for Semantic Computing , 2010, Int. J. Semantic Comput..

[36]  Yingxu Wang,et al.  The Theoretical Framework of Cognitive Informatics , 2007, Int. J. Cogn. Informatics Nat. Intell..

[37]  Jonathan Lumpkin.  A Semantic Conception of Truth , 2014 .

[38]  Yingxu Wang,et al.  Cognitive Robots: A Reference Model Toward Intelligent Authentication , 2010 .