Tag: theorem proving

Inference Rule

An inference rule is a logical structure that permits deriving conclusions from…

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Indirect Proof

An indirect proof, also known as proof by contradiction, involves assuming the…

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Higher-Order Quantifiers

A higher-order quantifier binds variables that range over properties, relations, or functions,…

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Higher-Order Logic

Higher-order logic extends first-order logic by enabling quantification over predicates and other…

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Formal Proof Explained

A formal proof is a rigorous demonstration of truth within a formal…

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First-Order Theory

A first-order theory formalizes mathematical reasoning using first-order logic. It defines relationships…

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Deduction Theorem

The deduction theorem states that if a statement can be derived from…

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Decidable Theory

A theory with a decision procedure, allowing algorithmic determination of truth or…

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Constructive Proof

A constructive proof shows a mathematical object exists by providing a method…

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Absorption Law in Logic

The absorption law states that if P implies Q, then adding a…

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