Traditional methods for combining theory solvers rely on capabilities of the solvers to produce all implied equalities or a pre-processing step that introduces additional literals into the search space. This paper introduces a combination method that incrementally reconciles models maintained by each theory. We evaluate the practicality and efficiency of this approach.

2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. Introduction History Notation and basic definitions Decidable theories, and computable and decidable models Effective completeness theorem Model completeness and decidability Omitting types and decidability Decidable prime models Computable saturated models and computably saturated models Decidable homogeneous models Vaught's theorem computabl...

We develop machinery to make the Arithmetized Completeness Theorem more effective in the study of many models of I∆0 + BΣ1 + exp, including all countable ones, by passing on to the conservative extension WKL0 of I∆0+BΣ1+exp. Our detailed study of the model theory of WKL ∗ 0 also leads to the simplification and improvement of many results in the model theory of Peano arithmetic and its fragments...

In this paper we shall repair some errors and fill some gaps in the inner model theory of [2]. The problems we shall address affect some quite basic definitions and proofs. We shall be concerned with condensation properties of canonical inner models constructed from coherent sequences ~ E of extenders as in [2]. Condensation results have the general form: if x is definable in a certain way over...

The first-order model-theoretic description of mathematical structures is unable to always uniquely characterize models up to isomorphism when the models are not finite. In this paper I look to ultraproducts of models to remedy this somewhat. By taking the ultraproduct construction over models, we form a new model out of many that preserves all of the first-order logical sentences of “most” of ...

In this paper, the mechanical behavior of three-phase inhomogeneous materials is modeled using the meso-scale model with lattice beams for static and dynamic analyses. The Timoshenko beam theory is applied instead of the classical Euler-Bernoulli beam theory and the mechanical properties of lattice beam connection are derived based on the continuum medium using the non-local continuum theory. T...

This  paper  presents  an attempt  to use Agnew’s General Strain Theory ( GST) (1992) for explanation of the  criminal behavior  differences between  young males and females in Babol, a city in northern part of Iran. General Strain Theory (GST) is essentially regarded as a set of ideas formulated to explain the occurrence of crime as a result of the strain in social life. This study explores th...