proposition A5.1 Syntax is computable
open in the book ·
appendices/05-incompleteness.tex:58
· p. 2902
Rests on
-
depends_on
definition 7.93
Computable function, decidable set
¶
- depends_on definition 7.92 Turing machine ¶
-
depends_on
definition 7.81
Effective axiomatization
¶
- depends_on definition 7.80 Formal system ¶
- depends_on equation A5.3 eq:app-inc-coding ¶
- proves proof app:incompleteness@proof-1 ¶
Supports
- depends_on theorem A5.12 Diagonal lemma ¶
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 |
→ | Computable function, decidable set | declared | appendices/05-incompleteness.tex:66 |
depends_on |
→ | Effective axiomatization | declared | appendices/05-incompleteness.tex:66 |
depends_on |
→ | eq:app-inc-coding | declared | appendices/05-incompleteness.tex:66 |
depends_on |
← | Diagonal lemma | declared | appendices/05-incompleteness.tex:455 |
proves |
← | app:incompleteness@proof-1 | declared | appendices/05-incompleteness.tex:69 |