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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`InductiveProofs`
boundaryAxiomsFor
​
boundaryAxiomsFor[ru]
returns the boundary axioms of Turing machine ru as a list of
ForAll
-quantified equations: the rules that describe what happens when the head reaches the boundary marker of the (one-sided) tape.
​
Details and Options
▪
ru is a machine number (interpreted as an s=2, k=2 machine).
▪
The boundary axioms are used together with
transitionAxiomsFor
and
unboundAxiom
to state the full rewrite system for the induction proof.
​
Examples  
(1)
Basic Examples  
(1)
Render the boundary axioms of machine 453, together with the unbound axiom:
In[1]:=
RenderAxiomGrid
Join
boundaryAxiomsFor
[453],
unboundAxiom

Out[1]=
s
⊳
=
s
⊳
s
⊳
=
s
⊳
s
⊳
=
s
SeeAlso
transitionAxiomsFor
 
▪
unboundAxiom
 
▪
RenderAxiomGrid
 
▪
FindInductiveProof
RelatedGuides
▪
TuringMachine
""

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