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Second-order logic

1:10

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