structures

Satisfaction in Model Theory

Satisfaction in model theory describes the relationship between a structure and a sentence, where the structure makes the sentence true…

4 days ago

Model-Theoretic Consequence

Model-theoretic consequence is a fundamental concept in logic, defining logical implication through the interpretation of formulas in models. It ensures…

4 days ago

Elementary Equivalence in Logic and Mathematics

Elementary equivalence signifies that two structures share all the same first-order sentences. This concept is crucial in model theory for…

4 days ago