Theorems · Definition · logic and foundations

Turing.TM2to1.trNormal

{K : Type u_1} →
  {Γ : K → Type u_2} →
    {Λ : Type u_3} →
      {σ : Type u_4} → Turing.TM2.Stmt Γ Λ σ → Turing.TM1.Stmt (Turing.TM2to1.Γ' K Γ) (Turing.TM2to1.Λ' K Γ Λ σ) σ

The translation of TM2 statements to TM1 statements. Regular actions have direct equivalents, but stack actions are deferred by going to the corresponding go state, so that we can find the appropriate stack top.

Defined in: Mathlib.Computability.TuringMachine.StackTuringMachine
Cited by: 6 results in Mathlib
Foundations: Depth 6 from the axioms · uses no axioms

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

Turing.TM2.Stmtstatement and proof · cited by 51
Turing.TM1.Stmtstatement · cited by 49
Turing.TM2to1.Λ'statement · cited by 22
Turing.TM2to1.Γ'statement · cited by 14
Turing.TM2.Stmt.brecOnproof · cited by 1

Cited by7

Results whose statement or proof uses this declaration.

Turing.TM2to1.trproof · cited by 7
Turing.TM2to1.trNormal_runstatement and proof · cited by 2
Turing.TM2to1.tr_respectsproof · cited by 2
Turing.TM2to1.tr_respects_auxstatement and proof · cited by 1
Turing.TM2to1.tr_respects_aux₃proof · cited by 1
Turing.TM2to1.trNormal.eq_defstatement and proof · cited by 1
Turing.TM2to1.tr_supportsproof · cited by 0