Stanley Burris

Number theoretic density and logical limit laws

Additive number systems: Background from analysis Counting functions, fundamental identities Density and partition sets The case

The equivalence problem for finite rings

\rho = 1

Asymptotics for logical limit laws: When the growth of the components is in an RT class

The case

Finite axiomatizations for existentially closed posets and semilattices

0 < \rho < 1

Tarski's High School Identities

Monadic second-order limit laws Multiplicative number systems: Background from analysis Counting functions and fundamental identities Density and partition sets The case

Definable principal congruences in varieties of groups and rings

\alpha = 0

Decidable discriminator varieties from unary varieties

The case

On Baker’s finite basis theorem for congruence distributive varieties

0 < \alpha < \infty

FINE SPECTRA AND LIMIT LAWS, II FIRST-ORDER 0-1 LAWS

First-order limit laws Appendix A. Formal power series Appendix B. Refined counting Appendix C. Consequences of

SMALL MODELS OF THE HIGH SCHOOL IDENTITIES

\delta(\mathsf P) = 0