Full Semantics

Some articles on semantics, full semantics:

First-order Logic - Restrictions, Extensions and Variations - Higher-order Logics
... first-order logic, for which only one semantics is studied, there are several possible semantics for second-order logic ... The most commonly employed semantics for second-order and higher-order logic is known as full semantics ... The combination of additional quantifiers and the full semantics for these quantifiers makes higher-order logic stronger than first-order logic ...

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