Theorems · Definition · logic and foundations
Turing.ListBlank
(Γ : Type u_1) → [Inhabited Γ] → Type u_1
A ListBlank Γ is a quotient of List Γ by extension by blanks at the end. This is used to
represent half-tapes of a Turing machine, so that we can pretend that the list continues
infinitely with blanks.
- Defined in
- Mathlib.Computability.TuringMachine.Tape
- Cited by
- 68 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Inhabited
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Turing.BlankRel.setoidproof · cited by 2
Cited by95
Results whose statement or proof uses this declaration.
- Turing.ListBlank.consstatement and proof · cited by 31
- Turing.ListBlank.headstatement and proof · cited by 27
- Turing.ListBlank.tailstatement and proof · cited by 27
- Turing.Tape.mk'statement and proof · cited by 25
- Turing.Tape.moveproof · cited by 25
- Turing.ListBlank.mkstatement · cited by 22
- Turing.ListBlank.mapstatement and proof · cited by 19
- Turing.ListBlank.head_consstatement · cited by 18
- Turing.ListBlank.nthstatement and proof · cited by 17
- Turing.ListBlank.tail_consstatement · cited by 17
- Turing.ListBlank.cons_head_tailstatement · cited by 13
- Turing.TM2to1.addBottomstatement and proof · cited by 12