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  • Learn More about Wolfram Language

TuringMachine

Guides

  • Turing Machine

Tech Notes

  • Exploring One-Sided Turing Machines

Symbols

  • boundaryAxiomsFor
  • cachedProofFor
  • CompressToRunLength
  • DecodeTuringMachineRules
  • FindInductiveProof
  • forAllBody
  • goalFor
  • inductionProofGraph
  • IslandsPanel
  • mergedProofFor
  • MultiwayBothPanel
  • multiwayCloudOverlap
  • multiwayDistance
  • MultiwayEquationalGraph
  • MultiwayGeodesicGraph
  • MultiwayInductiveProofPanel
  • MultiwayNonHaltedStatesLeft
  • MultiwayRuleGraph
  • multiwaySubProofCones
  • multiwaySystemFor
  • MultiwayTokenEventGraph
  • MultiwayTuringMachineFunction
  • MultiwayTuringMachinePlot
  • MultiwayTuringMachineRules
  • NonTerminatingTuringMachineQ
  • OneSidedTuringMachineEvolution
  • OneSidedTuringMachineFind
  • OneSidedTuringMachineFunction
  • OneSidedTuringMachineFunctionPlot
  • OneSidedTuringMachinePlot
  • OneSidedTuringMachineRuntimePlot
  • onesRunDefinitions
  • proofGraph
  • RenderAxiomGrid
  • RenderConfiguration
  • RenderEquation
  • RenderUniversalGoal
  • RuleSpacePanel
  • RunMachine
  • SettingsPanel
  • ShowTapeConfiguration
  • StatementPanel
  • TokenEventPanel
  • transitionAxiomsFor
  • TuringMachineOutput
  • TuringMachineOutputWithStepsFloat
  • TuringMachineOutputWithSteps
  • TuringMachineOutputWithStepsWidthsFloat
  • TuringMachineOutputWithStepsWidths
  • TuringMachineRuleCases
  • TuringMachineRuleCount
  • TuringMachineSteps
  • TuringMachineStepsWidths
  • TuringMachineWidths
  • TuringMachineWorstCasePlot
  • unboundAxiom
  • zerosRunDefinitions
  • $InductiveProofColors
  • $PvsNPStyles

Overviews

  • TuringMachine
WolframInstitute`TuringMachine`
OneSidedTuringMachineFind
​
OneSidedTuringMachineFind
[rule,maxInput,n,{s,k}]
finds all s-state, k-color rules that reproduce the outputs of rule for inputs 1 to maxInput, each within n steps.
​
​
OneSidedTuringMachineFind
[{{input,steps,value},…},{s,k}]
finds the rules matching the given
{input,steps,value}
triples.
​
​
OneSidedTuringMachineFind
[{values},n,{s,k}]
finds the rules producing values for inputs 1, 2, …, each within n steps.
​
Details and Options
▪
A target machine is
{number,s,k}
; the searched family is given by its own
{s,k}
, which defaults to
{2,2}
.
▪
Targets may be specified as a reference rule, as
{input,steps,value}
triples, as
{steps,value}
pairs (with sequential inputs 1, 2, …), or as a bare list of output
values
.
▪
A list of
values
must be wrapped in an extra list to distinguish it from a
{number,s,k}
rule triple, e.g.
OneSidedTuringMachineFind[{Range[100]+1},200]
.
▪
An optional final argument restricts the search to a specific list of rule numbers.
​
Examples  
(2)
Basic Examples  
(1)
Rule 1500's own s=2, k=2 family reproduces its behavior on inputs 1 and 2, so the search contains the rule itself:
In[1]:=
MemberQ
OneSidedTuringMachineFind
[{{1,3,3},{2,1,3}},{2,2}],1500
Out[1]=
True
Scope  
(1)

SeeAlso
OneSidedTuringMachineFunction
 
▪
TuringMachineRuleCount
 
▪
TuringMachineOutput
RelatedGuides
▪
TuringMachine
""

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