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cs.LO2025
Transfinite Fixed Points in Alpay Algebra as Ordinal Game Equilibria in Dependent Type Theory
Faruk Alpay, Bugra Kilictas, Taylan Alpay
This paper contributes to the Alpay Algebra by demonstrating that the stable outcome of a self referential process, obtained by iterating a transformation through all ordinal stage…
cs.LO2025
Recursive Semantic Anchoring in ISO 639:2023: A Structural Extension to ISO/TC 37 Frameworks
Bugra Kilictas, Faruk Alpay
ISO 639:2023 unifies the ISO language-code family and introduces contextual metadata, but it lacks a machine-native mechanism for handling dialectal drift and creole mixtures. We p…