definition 3.93 Computable function, decidable set
open in the book ·
parts/02-mathematical-methods/01-logic-sets.tex:2729
· p. 51
- ground object -- no derivation owed
Rests on
- depends_on definition 3.92 Turing machine ¶
Supports
-
depends_on
proposition A.15
Syntax is computable
¶
- depends_on theorem A.26 Diagonal lemma ¶
-
depends_on
theorem A.17
Representability
¶
-
depends_on
proposition A.28
prop:app-inc-derivability
¶
- depends_on theorem A.29 Second incompleteness theorem ¶
- depends_on theorem A.30 Church, Turing ¶
- depends_on theorem A.26 Diagonal lemma ¶ ↺
- depends_on theorem A.27 Rosser ¶ ↺
-
depends_on
proposition A.28
prop:app-inc-derivability
¶
- depends_on theorem 3.98 Church–Turing ¶
-
depends_on
theorem 3.96
Turing
¶
- depends_on theorem A.30 Church, Turing ¶ ↺
- depends_on theorem 3.98 Church–Turing ¶ ↺
- depends_on theorem 3.97 Rice ¶
- depends_on theorem 3.97 Rice ¶ ↺
- depends_on theorem 3.95 Universal machine ¶
Neighborhood
Every logical edge within two steps of this node.
- declared and complete
- partly declared
- a check failed
- not graded
- declared in the source
- inferred from structure
Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | Turing machine | declared | parts/02-mathematical-methods/01-logic-sets.tex:2736 |
depends_on |
← | Syntax is computable | declared | appendices/A-long-proofs.tex:1967 |
depends_on |
← | Representability | declared | appendices/A-long-proofs.tex:2012 |
depends_on |
← | Church–Turing | declared | parts/02-mathematical-methods/01-logic-sets.tex:2863 |
depends_on |
← | Turing | declared | parts/02-mathematical-methods/01-logic-sets.tex:2783 |
depends_on |
← | Rice | declared | parts/02-mathematical-methods/01-logic-sets.tex:2825 |
depends_on |
← | Universal machine | declared | parts/02-mathematical-methods/01-logic-sets.tex:2766 |