Second-order logic
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What is Second-order logic?, Explain Second-order logic, Define Second-order logic
2:35
Computer Science: Monadic Second Order Logic for Dummies
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The Reprobity of Second Order Logic
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What is Second Order Consequences | Explained in 2 min
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Is second-order logic with full semantics effectively checkable?
In logic and mathematics second-order logic is an extension of first-order logic, which itself is an extension of propositional logic. Second-order logic is in turn extended by higher-order logic and type theory.
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Syntax and fragments
Semantics
Expressive power
Deductive systems
Non-reducibility to first-order logic
Metalogical results
History and disputed value
Relation to computational complexity