KnowraProof theoryLinked fromLinked fromThe 25 pages that link to Proof theory, each with the reason it gives.All 25Broader topic 3Related 4Narrower topic 16Compared with 2Mathematical proofNarrower topic: It investigates what proof systems can establish and how their strengths compare.Intuitionistic logicNarrower topic: Its proof-centered interpretation makes proof structure central to the logic.Sequent calculusNarrower topic: Sequent calculi are central tools for analyzing proof structure.Ordinal numberNarrower topic: Ordinal applications are especially influential in proof-theoretic comparisons.Formal proofNarrower topic: It treats derivations themselves as objects of mathematical investigation.ConsistencyNarrower topic: Consistency proofs often analyze derivations rather than the meanings of statements.Modus ponensNarrower topic: Proof theory examines modus ponens as a basic operation in derivations.Constructive mathematicsNarrower topic: It provides tools for analyzing the information carried by constructive proofs.Consistency proofNarrower topic: Consistency proofs often analyze derivations directly rather than interpret them in models.Ordinal analysisNarrower topic: Ordinal analysis is a proof-theoretic method for classifying theories.Disjunction introductionNarrower topic: The rule is studied as part of the structure and behavior of formal proofs.Conjunction introductionNarrower topic: It analyzes conjunction introduction as a component of proof systems.Herbrand's theoremNarrower topic: Herbrand's theorem became a central bridge between proofs and semantic validity.Conjunction eliminationNarrower topic: The rule’s admissibility and proof transformations are questions in proof theory.Craig interpolationNarrower topic: Interpolation became a major structural theorem in proof theory.Kruskal's tree theoremNarrower topic: The theorem became notable for its unusually strong foundational strength.
KnowraProof theoryLinked fromLinked fromThe 25 pages that link to Proof theory, each with the reason it gives.All 25Broader topic 3Related 4Narrower topic 16Compared with 2Mathematical proofNarrower topic: It investigates what proof systems can establish and how their strengths compare.Intuitionistic logicNarrower topic: Its proof-centered interpretation makes proof structure central to the logic.Sequent calculusNarrower topic: Sequent calculi are central tools for analyzing proof structure.Ordinal numberNarrower topic: Ordinal applications are especially influential in proof-theoretic comparisons.Formal proofNarrower topic: It treats derivations themselves as objects of mathematical investigation.ConsistencyNarrower topic: Consistency proofs often analyze derivations rather than the meanings of statements.Modus ponensNarrower topic: Proof theory examines modus ponens as a basic operation in derivations.Constructive mathematicsNarrower topic: It provides tools for analyzing the information carried by constructive proofs.Consistency proofNarrower topic: Consistency proofs often analyze derivations directly rather than interpret them in models.Ordinal analysisNarrower topic: Ordinal analysis is a proof-theoretic method for classifying theories.Disjunction introductionNarrower topic: The rule is studied as part of the structure and behavior of formal proofs.Conjunction introductionNarrower topic: It analyzes conjunction introduction as a component of proof systems.Herbrand's theoremNarrower topic: Herbrand's theorem became a central bridge between proofs and semantic validity.Conjunction eliminationNarrower topic: The rule’s admissibility and proof transformations are questions in proof theory.Craig interpolationNarrower topic: Interpolation became a major structural theorem in proof theory.Kruskal's tree theoremNarrower topic: The theorem became notable for its unusually strong foundational strength.