Tag: proof theory

Cut in Proof Theory

A cut rule in proof theory introduces an intermediate conclusion within a…

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Constructive Mathematics

Constructive mathematics emphasizes mathematical objects that are provably constructible and computable. It…

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Constructive Logic

Constructive logic emphasizes explicit proofs of existence, demanding a concrete construction rather…

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Conservative Extension in Logic and Mathematics

A conservative extension adds new axioms or rules to a theory without…

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Categorical Logic

Categorical logic, rooted in category theory, explores object categorization and the logical…

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Bottom Symbol (⊥) in Logic

The bottom symbol (⊥), also known as the symbol for contradiction or…

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Brouwer-Heyting-Kolmogorov Interpretation

The Brouwer-Heyting-Kolmogorov (BHK) interpretation equates statement truth with proof existence, forming the…

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Provability Predicate

A provability predicate is a mathematical function that determines whether a statement…

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Affine Logics

Affine logics, a specialized branch of linear logic, explore the properties of…

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Abelian Logic

Abelian logic is a specific type of relevance logic. It notably rejects…

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