Theorems · Theorem · logic and foundations
ComputablePred.halting_problem
∀ (n : ℕ), ¬ComputablePred fun c => (c.eval n).Dom
The Halting problem is not computable
- Defined in
- Mathlib.Computability.Halting
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.ofPredproof · cited by 6,101
- PFunproof · cited by 207
- Part.Domstatement and proof · cited by 145
- Nat.Partrec.Codestatement and proof · cited by 66
- Nat.Partrec.Code.evalstatement and proof · cited by 25
- ComputablePredstatement and proof · cited by 17
- ComputablePred.riceproof · cited by 2
- Nat.Partrec.noneproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- ComputablePred.halting_problem_not_reproof · cited by 0