What is the name of the set models can be drawn from?

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What is the name of the set models can be drawn from? For example in propositional calculus an assignment function $v : P \rightarrow \{T,V\}$ can be the model of a formula $a$. What is the (generic) name for the superset of all models (in this case the set of all functions with the signature $P \rightarrow \{T,V\}$)? Can I call it the domain?