01 / MACROSTRUCTURE
Relations Between Configurations
The macrostructural level represents formal correspondences between grammatical configurations.
Linguistics · Formal Systems · Grammatical Transformation
The Δ Architecture of Grammatical Transformation
A unified operatorial framework for describing and classifying grammatical transformations.
The Research
Grammatical Transformation as Operatorial Structure
This research proposes the Δ operator as a unified formal framework for describing grammatical transformations. It distinguishes macrostructural correspondences from microstructural organization and classifies transformation patterns into eight operatorial regimes.
The approach aims to support comparative linguistic description and further investigation into formal representation and computational applications.
Core Concepts
Theoretical Framework
02 / MICROSTRUCTURE
Internal Transformations
The microstructural level describes the internal changes involved in grammatical transformation.
The architecture explores whether a unified operatorial notation can describe different kinds of grammatical transformation while preserving the distinctions between them. These proposals are part of an ongoing research program.
Formal Classification
The Eight Operatorial Regimes
A classification of transformation patterns within the Δ architecture.
Δ(→)
Directional
Δ(+)
Additive
Δ(><)
Reorientational
Δ(−/+)
Substitutional
Δ(>/<)
Coupling
Δ(−)
Reductive
Δ(~)
Positional Reorganization
Δ(±)
Paradigmatic Flexibility
Computational Resources
Software & Documentation
Python implementation and supporting documentation associated with the Δ architecture.
This website provides an accessible overview and does not replace the full scholarly arguments, examples, or formal constraints of the research.