Model-Theoretic Validity
Model-theoretic validity refers to the truth of a statement within all possible…
Model-Theoretic Consequence
Model-theoretic consequence is a fundamental concept in logic, defining logical implication through…
Metatheory
Metatheory involves the theoretical analysis of mathematical and logical systems. It examines…
Löwenheim–Skolem Theorem
A fundamental theorem in mathematical logic stating that any countable theory with…
Henkin Semantics
Henkin semantics offers a flexible alternative to standard first-order semantics, allowing quantifiers…
Finite Model Theory
Finite model theory explores structures with finite domains. It investigates properties and…
Elementary Equivalence in Logic and Mathematics
Elementary equivalence signifies that two structures share all the same first-order sentences.…