Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
axiomatic system
|
| gptkbp:allowsComprehensionFor |
Π^1_1 formulas
|
| gptkbp:baseTheory |
gptkb:second-order_arithmetic
|
| gptkbp:consistencyStrength |
stronger than ATR_0
|
| gptkbp:field |
gptkb:logic
gptkb:set_theory |
| gptkbp:fullName |
gptkb:Pi-1-1_Comprehension_Axiom
|
| gptkbp:hasAxiom |
gptkb:Π^1_1_comprehension_axiom
|
| https://www.w3.org/2000/01/rdf-schema#label |
Π^1 1-CA 0
|
| gptkbp:isAxiomSystemFor |
gptkb:second-order_arithmetic
|
| gptkbp:notation |
gptkb:Π^1_1-CA_0
|
| gptkbp:relatedTo |
gptkb:Z_2
gptkb:ATR_0 ACA_0 |
| gptkbp:strengthComparedTo |
stronger than ACA_0
weaker than Z_2 |
| gptkbp:usedIn |
gptkb:reverse_mathematics
|
| gptkbp:uses |
theorems about projective sets
|
| gptkbp:bfsParent |
gptkb:Reverse_Mathematics
gptkb:Subsystems_of_Second_Order_Arithmetic gptkb:reverse_mathematics gptkb:second-order_arithmetic |
| gptkbp:bfsLayer |
7
|