Constructing models of small ordered theories with maximal countable spectrum

TL;DR

This paper introduces a method for constructing countable models of small theories and applies it to determine the maximum number of non-isomorphic countable models for linearly ordered theories.

Contribution

It provides a new construction technique for models of small theories and establishes bounds on the number of non-isomorphic models in linearly ordered theories.

Findings

Established the maximal count of non-isomorphic models for linearly ordered theories.

Developed a novel method for constructing models of small theories.

Proved theorems on the spectrum of models in ordered theories.

Abstract

We present a method for constructing countable models of small theories and apply it to prove theorems on the maximal number of countable non-isomorphic models of linearly ordered theories.