Statements (58)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:theorem
|
| gptkbp:applies_to |
proof theory
|
| gptkbp:developed_by |
gptkb:Gerhard_Gentzen
|
| gptkbp:establishes |
consistency of logical systems
|
| gptkbp:has_connection_to |
proof assistants
|
| gptkbp:has_implications_for |
computability theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cut-Elimination Theorem
|
| gptkbp:is_applied_in |
gptkb:computer_science
|
| gptkbp:is_aresource_for |
gptkb:constructive_mathematics
category theory axiomatic systems classical logic intuitionistic logic non-classical logics linear logic substructural logics proof theory for arithmetic proof theory for modal logics |
| gptkbp:is_associated_with |
Gentzen's Hauptsatz
|
| gptkbp:is_cited_in |
gptkb:conference
numerous research papers theses and dissertations journals of mathematics |
| gptkbp:is_connected_to |
logical frameworks
|
| gptkbp:is_described_as |
textbooks on logic
|
| gptkbp:is_discussed_in |
gptkb:academic_conferences
philosophy of mathematics logic textbooks logic seminars |
| gptkbp:is_explored_in |
theoretical computer science
research on proof theory foundational logic research |
| gptkbp:is_fundamental_to |
proof normalization
the study of logical deduction |
| gptkbp:is_influential_in |
the development of type theory
|
| gptkbp:is_part_of |
foundational studies in logic
|
| gptkbp:is_related_to |
modal logic
sequent calculus logical consequence proof complexity proof theory techniques proof transformations |
| gptkbp:is_used_in |
knowledge representation
mathematical logic program verification automated theorem proving |
| gptkbp:is_used_to |
simplify proofs
|
| gptkbp:key |
structural proof theory
|
| gptkbp:provides |
normal forms for proofs
|
| gptkbp:was_akey_figure_in |
gptkb:Logic
formal verification logical reasoning mathematical logic theory of computation formal semantics computational logic |
| gptkbp:bfsParent |
gptkb:Jean-Yves_Girard
|
| gptkbp:bfsLayer |
6
|