There exists a model problem (tilde{L}) such that (16) holds.
By the completeness theorem for first-order logic, there thus exists a model \(\mathcal{M}\) for the language of bounded of arithmetic such that \(\mathcal{M} \models \mathsf{S}^1_2 + \exists x \neg \exists y \varepsilon(2,x,y)\).
A knowledge base (mathcal {K}) is satisfiable (respectively, unsatisfiable) if and only if there exists (respectively, there does not exist) a model for (mathcal {K}).
So far, there does not exist a model for sensor fusion that is generally accepted, and it seems unlikely that one technique or architecture will provide a uniformly superior solution [3].
Then by the Löwenheim-Skolem-Tarski Theorem, there exists a model elementarily equivalent to the model generated by the Completeness Theorem that is of the same size as the world (since by Löwenheim-Skolem-Tarski Theorem T will have models of every infinite size).
If there exists a model, a is credulously accepted.
Adding the atom for a in negated form to the formula decides if a is not skeptically accepted, i.e., if there exists a model, an extension does not contain a.
If heterogeneity existed, a random effects model was adopted; otherwise, a fixed effects model was used.
If heterogeneity existed, a random effect model was used for meta-analysis; otherwise, a fixed effect model was chosen.
If any heterogeneity existed, a random-effects model, which leads to wider CIs than the fixed-effects model, was used for the meta-analysis.
