Takeuti's reduction conjecture
                        
                            GPTKB entity
                        
                    
                Statements (13)
| Predicate | Object | 
|---|---|
| gptkbp:instanceOf | 
                                    
                                        
                                            gptkb:mathematical_concept
                                        
                                         | 
                            
| gptkbp:alsoKnownAs | 
                                    
                                        
                                            gptkb:Takeuti's_conjecture
                                        
                                         | 
                            
| gptkbp:concerns | 
                                    
                                        
                                            gptkb:second-order_logic
                                        
                                         cut-elimination  | 
                            
| gptkbp:field | 
                                    
                                        
                                            
                                            proof theory
                                        
                                        
                                         | 
                            
| gptkbp:proposedBy | 
                                    
                                        
                                            gptkb:Gaisi_Takeuti
                                        
                                         | 
                            
| gptkbp:relatedTo | 
                                    
                                        
                                            gptkb:Gentzen's_consistency_proof
                                        
                                         proof-theoretic ordinal  | 
                            
| gptkbp:status | 
                                    
                                        
                                            
                                            open (as of 2024)
                                        
                                        
                                         | 
                            
| gptkbp:yearProposed | 
                                    
                                        
                                            
                                            1953
                                        
                                        
                                         | 
                            
| gptkbp:bfsParent | 
                                    
                                        
                                            gptkb:Takeuti's_conjecture
                                        
                                         | 
                            
| gptkbp:bfsLayer | 
                                    
                                        
                                            
                                            8
                                        
                                        
                                         | 
                            
| https://www.w3.org/2000/01/rdf-schema#label | 
                                    
                                        
                                            
                                            Takeuti's reduction conjecture
                                        
                                        
                                         |