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Theorems · Definition · logic and foundations

Turing.TM0.step

{Γ : Type u_1} →
  {Λ : Type u_2} →
    [inst : Inhabited Λ] →
      [inst_1 : Inhabited Γ] → Turing.TM0.Machine Γ Λ → Turing.TM0.Cfg Γ Λ → Option (Turing.TM0.Cfg Γ Λ)

Execution semantics of the Turing machine.

Defined in
Mathlib.Computability.TuringMachine.PostTuringMachine
Cited by
6 results in Mathlib
Foundations
Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
InhabitedInhabited
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Turing.TM0.eval · cited by 1TM0.evalTuring.TM1to0.tr_respects · cited by 1TM1to0.tr_respectsTuring.TM0.step_supports · cited by 1TM0.step_supportsTuring.TM0.Machine.map_step · cited by 1Machine.map_stepTuring.TM0.Reaches · cited by 0TM0.ReachesTuring.TM0to1.tr_respects · cited by 0TM0to1.tr_respectsTuring.TM1to0.tr_eval · cited by 0TM1to0.tr_evalTuring.TM0.Machine.map_respects · cited by 0Machine.map_respectsTuring.Tape · cited by 50Turing.TapeTuring.Dir · cited by 30Turing.DirTuring.Tape.move · cited by 25Tape.moveTuring.Tape.head · cited by 17Tape.headTuring.TM0.Stmt · cited by 16TM0.StmtTuring.Tape.write · cited by 14Tape.writeTuring.TM0.Cfg · cited by 10TM0.CfgTuring.TM0.Machine · cited by 5TM0.MachineTM0.stepCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by8

Results whose statement or proof uses this declaration.