Article ID Journal Published Year Pages File Type
437369 Theoretical Computer Science 2011 17 Pages PDF
Abstract

We investigate families of finite initial segments of standard models for various arithmetics. We give an axiomatization of the theory of sentences true in almost all finite models with addition. We also characterize its complete extensions and relate its infinite models to models of Presburger arithmetic.We also estimate the complexity of complete extensions of the arithmetic with addition and multiplication.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics