Cut in Proof Theory
A cut rule in proof theory introduces an intermediate conclusion within a…
Constructive Mathematics
Constructive mathematics emphasizes mathematical objects that are provably constructible and computable. It…
Constructive Logic
Constructive logic emphasizes explicit proofs of existence, demanding a concrete construction rather…
Conservative Extension in Logic and Mathematics
A conservative extension adds new axioms or rules to a theory without…
Categorical Logic
Categorical logic, rooted in category theory, explores object categorization and the logical…
Bottom Symbol (⊥) in Logic
The bottom symbol (⊥), also known as the symbol for contradiction or…
Brouwer-Heyting-Kolmogorov Interpretation
The Brouwer-Heyting-Kolmogorov (BHK) interpretation equates statement truth with proof existence, forming the…
Provability Predicate
A provability predicate is a mathematical function that determines whether a statement…
Affine Logics
Affine logics, a specialized branch of linear logic, explore the properties of…