Wybraniec-Skardowska U. Theory of Language Syntax: Categorial Approach

Kluwer Academic Publishers, 1991. — 288 p. — (Nijhoff International Philosophy Series).Human language is based on syntax, a complex set of rules about how words can be combined. In theory, the emergence of syntactic communication might have been a comparatively straightforward process.Main assumptions, objectives, conditionings
Intuitive foundationsThe Axiomatic Theory TLTk of Label Tokens
Primitive concepts
Label tokens and their equiformity
Concatenation
Vocabulary
Word tokens
n-componential words ; length of word
Generalized concatenation
Methodological remarksThe Axiomatic System TSCL of Simple Categorial Languages
The principal objectives of construction the theory of syntactically categorial languages
Connections between TLTk and TSCL
Categorial indices and their indication
Expressions
Well-formed expressions
Syntactic categories
The fundamental theorems of the theory of syntactic categories
The algorithm of checking the syntactic correctness of expressionsThe Theory TSCe-L of Categorial ω-languages
Introductory remarks
The foundations of TSCe-L
Operator expressions
Well-formed expressions
Fundamental theorems
The algorithm of checking the syntactic correctness of expressionsDual Theories
The double ontological character of linguistic objects and the biaspectual approach to language
The theory TL Tp of label types
Interpretation in TLTp of Tarski's axioms of metascience
The theory TETp of expression types
The dual theory DTSCL
The dual theory DTSCe-LFinal Remarks
Annex
Notes