Documentation Verification Report

Computable

πŸ“ Source: Mathlib/Computability/TuringMachine/Computable.lean

Statistics

MetricCount
DefinitionsComputable, Computable, EvalsTo, EvalsToInTime, FinTM2, Cfg, K, Stmt, decidableEqK, inhabitedCfg, inhabitedStmt, inhabitedΟƒ, initialState, kDecidableEq, kFin, kβ‚€, k₁, m, main, step, Ξ“, Ξ“kβ‚€Fin, Ξ›, Ξ›Fin, Οƒ, ΟƒFin, TM2Computable, outputsFun, toTM2ComputableAux, TM2ComputableAux, inputAlphabet, outputAlphabet, tm, TM2ComputableInPolyTime, outputsFun, time, toTM2ComputableAux, toTM2ComputableInTime, TM2ComputableInTime, outputsFun, time, toTM2Computable, toTM2ComputableAux, TM2Outputs, TM2OutputsInTime, toTM2Outputs, haltList, idComputable, idComputableInPolyTime, idComputableInTime, idComputer, inhabitedEvalsToInTime, inhabitedFinTM2, inhabitedTM2Computable, inhabitedTM2ComputableAux, inhabitedTM2ComputableInPolyTime, inhabitedTM2ComputableInTime, inhabitedTM2EvalsTo, inhabitedTM2Outputs, inhabitedTM2OutputsInTime, initList
61
Theorems0
Total61

Equiv

Definitions

NameCategoryTheorems
Computable πŸ“–MathDef
5 mathmath: ULower.down_computable, Computable.symm, Computable.eqv, Computable.equivβ‚‚, Computable.trans

Turing

Definitions

NameCategoryTheorems
EvalsTo πŸ“–CompOpβ€”
EvalsToInTime πŸ“–CompOpβ€”
FinTM2 πŸ“–CompDataβ€”
TM2Computable πŸ“–CompDataβ€”
TM2ComputableAux πŸ“–CompDataβ€”
TM2ComputableInPolyTime πŸ“–CompDataβ€”
TM2ComputableInTime πŸ“–CompDataβ€”
TM2Outputs πŸ“–CompOpβ€”
TM2OutputsInTime πŸ“–CompOpβ€”
haltList πŸ“–CompOpβ€”
idComputable πŸ“–CompOpβ€”
idComputableInPolyTime πŸ“–CompOpβ€”
idComputableInTime πŸ“–CompOpβ€”
idComputer πŸ“–CompOpβ€”
inhabitedEvalsToInTime πŸ“–CompOpβ€”
inhabitedFinTM2 πŸ“–CompOpβ€”
inhabitedTM2Computable πŸ“–CompOpβ€”
inhabitedTM2ComputableAux πŸ“–CompOpβ€”
inhabitedTM2ComputableInPolyTime πŸ“–CompOpβ€”
inhabitedTM2ComputableInTime πŸ“–CompOpβ€”
inhabitedTM2EvalsTo πŸ“–CompOpβ€”
inhabitedTM2Outputs πŸ“–CompOpβ€”
inhabitedTM2OutputsInTime πŸ“–CompOpβ€”
initList πŸ“–CompOpβ€”

Turing.FinTM2

Definitions

NameCategoryTheorems
Cfg πŸ“–CompOpβ€”
K πŸ“–CompOpβ€”
Stmt πŸ“–CompOpβ€”
decidableEqK πŸ“–CompOpβ€”
inhabitedCfg πŸ“–CompOpβ€”
inhabitedStmt πŸ“–CompOpβ€”
inhabitedΟƒ πŸ“–CompOpβ€”
initialState πŸ“–CompOpβ€”
kDecidableEq πŸ“–CompOpβ€”
kFin πŸ“–CompOpβ€”
kβ‚€ πŸ“–CompOpβ€”
k₁ πŸ“–CompOpβ€”
m πŸ“–CompOpβ€”
main πŸ“–CompOpβ€”
step πŸ“–CompOpβ€”
Ξ“ πŸ“–CompOpβ€”
Ξ“kβ‚€Fin πŸ“–CompOpβ€”
Ξ› πŸ“–CompOpβ€”
Ξ›Fin πŸ“–CompOpβ€”
Οƒ πŸ“–CompOpβ€”
ΟƒFin πŸ“–CompOpβ€”

Turing.TM2Computable

Definitions

NameCategoryTheorems
outputsFun πŸ“–CompOpβ€”
toTM2ComputableAux πŸ“–CompOpβ€”

Turing.TM2ComputableAux

Definitions

NameCategoryTheorems
inputAlphabet πŸ“–CompOpβ€”
outputAlphabet πŸ“–CompOpβ€”
tm πŸ“–CompOpβ€”

Turing.TM2ComputableInPolyTime

Definitions

NameCategoryTheorems
outputsFun πŸ“–CompOpβ€”
time πŸ“–CompOpβ€”
toTM2ComputableAux πŸ“–CompOpβ€”
toTM2ComputableInTime πŸ“–CompOpβ€”

Turing.TM2ComputableInTime

Definitions

NameCategoryTheorems
outputsFun πŸ“–CompOpβ€”
time πŸ“–CompOpβ€”
toTM2Computable πŸ“–CompOpβ€”
toTM2ComputableAux πŸ“–CompOpβ€”

Turing.TM2OutputsInTime

Definitions

NameCategoryTheorems
toTM2Outputs πŸ“–CompOpβ€”

(root)

Definitions

NameCategoryTheorems
Computable πŸ“–MathDef
47 mathmath: Computable.of_eq, ComputablePred.decide, Computable.encode_iff, computablePred_iff_computable_decide, Computable.list_reverse, Computable.option_getD, Computable.encode, Computable.ofNat, Computable.decode, Primrec.to_comp, Computable.sumInr, Nat.Partrec.Code.instCountableSubtypeForallComputable, Computable.option_some_iff, Computable.snd, Computable.sumInl, Computable.vector_ofFn', Computableβ‚‚.comp, Computable.vector_ofFn, Computable.unpair, Computable.vector_head, Computable.comp, Computable.list_length, Computable.nat_rec, Computable.option_casesOn, Nat.Partrec'.vec_iff, Computable.option_some, Computable.vector_toList, Computable.vector_length, ComputablePred.ite, Computable.pair, Computable.nat_casesOn, Computable.succ, Computable.option_map, Computable.fst, Computable.cond, Computable.nat_div2, Partrec.of_eq_tot, Computable.list_ofFn, Computable.const, ComputablePred.computable_iff, Computable.option_bind, Computable.pred, Computable.nat_bodd, Computable.vector_tail, Computable.id, Computable.sumCasesOn, Computable.subtype_mk

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