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Theorems · Definition · logic and foundations

Turing.PartrecToTM2.codeSupp

Turing.ToPartrec.Code → Turing.PartrecToTM2.Cont' → Finset Turing.PartrecToTM2.Λ'

The (finite!) set of machine states visited during the course of evaluation of c in continuation k. This is actually closed under forward simulation (see tr_supports), and the existence of this set means that the machine constructed in this section is in fact a proper Turing machine, with a finite set of states.

Defined in
Mathlib.Computability.TuringMachine.ToPartrec
Cited by
16 results in Mathlib
Foundations
Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

Turing.PartrecToTM2.codeSupp_self · cited by 3PartrecToTM2.codeSupp_selfTuring.PartrecToTM2.contSupp_cons₁ · cited by 3PartrecToTM2.contSupp_con…Turing.PartrecToTM2.codeSupp'_supports · cited by 2PartrecToTM2.codeSupp'_su…Turing.PartrecToTM2.trNormal_supports · cited by 2PartrecToTM2.trNormal_sup…Turing.PartrecToTM2.codeSupp_case · cited by 2PartrecToTM2.codeSupp_caseTuring.PartrecToTM2.codeSupp_comp · cited by 2PartrecToTM2.codeSupp_compTuring.PartrecToTM2.codeSupp_cons · cited by 2PartrecToTM2.codeSupp_consTuring.PartrecToTM2.codeSupp_fix · cited by 2PartrecToTM2.codeSupp_fixTuring.PartrecToTM2.contSupp_comp · cited by 2PartrecToTM2.contSupp_compTuring.PartrecToTM2.codeSupp_supports · cited by 1PartrecToTM2.codeSupp_sup…Turing.PartrecToTM2.contSupp_fix · cited by 1PartrecToTM2.contSupp_fixTuring.PartrecToTM2.contSupp_supports · cited by 1PartrecToTM2.contSupp_sup…Turing.PartrecToTM2.codeSupp_succ · cited by 0PartrecToTM2.codeSupp_succTuring.PartrecToTM2.codeSupp_tail · cited by 0PartrecToTM2.codeSupp_tailTuring.PartrecToTM2.codeSupp_zero · cited by 0PartrecToTM2.codeSupp_zeroFinset · cited by 13712FinsetTuring.PartrecToTM2.Λ' · cited by 85PartrecToTM2.Λ'Turing.ToPartrec.Code · cited by 83ToPartrec.CodeTuring.PartrecToTM2.Cont' · cited by 51PartrecToTM2.Cont'Turing.PartrecToTM2.contSupp · cited by 18PartrecToTM2.contSuppTuring.PartrecToTM2.codeSupp' · cited by 13PartrecToTM2.codeSupp'PartrecToTM2.codeSuppCITED BYCITES

Cites6

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Cited by16

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