3 papers
math.LO2026
Almost free algebras: from the word problem to elimination of quantifiers
Yifan Jia, Heer Tern Koh, Bakh Khoussainov
Term algebras are important objects in computer science and are correspondingly well-studied. A natural generalization is to quotient these algebras by finitely many ground term eq…
math.LO2026
Primitive recursive categoricity spectra of functional structures
Nikolay Bazhenov, Heer Tern Koh, Keng Meng Ng
For the notion of degree of categoricity, we study an analogous notion for punctual structures. We show that such notions coincide for non--categorical injection struct…
math.LO2026
Primitive recursive categoricity spectra
Nikolay Bazhenov, Heer Tern Koh, Keng Meng Ng
We study the primitive recursive analogue of computable categoricity spectra for various natural classes of structures. We show that these notions coincide for all relatively $Î_{…