Definition:Subsignature/Supersignature

Definition

Let $\LL, \LL'$ be signatures for the language of predicate logic.

Let $\LL$ be a subsignature of $\LL'$.

Then $\LL'$ is said to be a supersignature of $\LL$, denoted:

$\LL' \supseteq \LL$

Also see

• Definition:Signature for Predicate Logic

• Definition:Expansion of Structure
• Definition:Reduct of Structure

Sources

• 2009: Kenneth Kunen: The Foundations of Mathematics ... (previous) ... (next): $\text{II}.8$ Further Semantic Notions