Formal Relational Rules of English Syntax for Cognitive Linguistics, Machine Learning, and Cognitive Computing

It is recognized that formal grammars and rigorous syntactic rules are indispensable in formal, cognitive, and computational linguistics. The formal syntax of linguistics can be classified into two categories known as the analytic and synthetic syntax. The former are a set of lexical rules of individual words, phrases, and parts of speech; while the latter are a set of relational rules of formal syntaxes within and beyond sentences. The synthetic syntaxes can be formally embodied by a set of relational syntactic rules for lexis, phrases, and parts of speech within and beyond sentences. A theoretical framework of formal linguistics is coherently presented by analytic and synthetic syntaxes based on contemporary denotational mathematics. The formalization of natural language syntaxes and grammars enables a wide range of applications not only in cognitive informatics, cognitive linguistics, natural language processing, cognitive computing, semantic computing, cognitive robotics, and computational linguistics in general, but also in word processing, web search engines, online text processing, machine-enabled language comprehension, autonomous machine learning, cognitive translators, computing with words, and cognitive systems in particular.

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

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

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

[4]  Yingxu Wang,et al.  On Cognitive Computing , 2009, Int. J. Softw. Sci. Comput. Intell..

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

[6]  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).

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

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

[9]  Ivana Šarić,et al.  Andreas Langlotz. 2006. Idiomatic Creativity: A Cognitive Linguistic Model of Idiom-Representations and Idiom-Variation in English. Amsterdam - Philadelphia: John Benjamins. , 2010 .

[10]  Shusaku Tsumoto,et al.  Perspectives on Cognitive Computers and Knowledge Processors , 2013, Int. J. Cogn. Informatics Nat. Intell..

[11]  Yingxu Wang,et al.  Welcome to the Journal of Advanced Mathematics and Applications Contemporary Mathematics as a Metamethodology of Science, Engineering, Society, and Humanity , 2012 .

[12]  Yingxu Wang.  On Cognitive Informatics , 2003 .

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

[14]  Yingxu Wang,et al.  In Search of Denotational Mathematics: Novel Mathematical Means for Contemporary Intelligence, Brain, and Knowledge Sciences , 2012 .

[15]  D. Crystal.  The Cambridge Encyclopedia of the English Language , 1998 .

[16]  Yingxu Wang,et al.  A formal measurement of the cognitive complexity of texts in cognitive linguistics , 2012, 2012 IEEE 11th International Conference on Cognitive Informatics and Cognitive Computing.

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

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

[19]  Robert C. Berwick.  Songs to Syntax: Cognition, Combinatorial Computation, and the Origin of Language , 2011, Int. J. Cogn. Informatics Nat. Intell..

[20]  Yingxu Wang,et al.  Towards a Formal Framework of Cognitive Linguistics , 2012 .

[21]  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).

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

[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]  I. Mackenzie.  The Semantic Conception of Truth , 1997 .

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

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

[29]  Yingxu Wang,et al.  On the informatics laws and deductive semantics of software , 2006, IEEE Trans. Syst. Man Cybern. Syst..

[30]  Noam Chomsky.  Approaching UG from Below , 2006 .

[31]  John Archibald,et al.  Contemporary Linguistic Analysis: An Introduction , 2000 .

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

[33]  R. Montague.  Formal philosophy; selected papers of Richard Montague , 1974 .

[34]  Yingxu Wang,et al.  Cognitive informatics models of the brain , 2006, IEEE Trans. Syst. Man Cybern. Syst..

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

[36]  Lotfi A. Zadeh,et al.  From Computing with Numbers to Computing with Words - from Manipulation of Measurements to Manipulation of Perceptions , 2005, Logic, Thought and Action.

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

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

[39]  Yingxu Wang,et al.  A Formal Knowledge Retrieval System for Cognitive Computers and Cognitive Robotics , 2013, Int. J. Softw. Sci. Comput. Intell..

[40]  Z. Harris,et al.  Foundations of language , 1941 .

[41]  G. Pullum,et al.  The Cambridge Grammar of the English Language , 2002 .