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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`
inductionProofGraph
​
inductionProofGraph[p]
builds the token-event proof graph (the fused base and step cases) for an inductive proof association p.
​
Details and Options
▪
p is a proof association as returned by
FindInductiveProof
,
mergedProofFor
, or
cachedProofFor
.
▪
Base-case and step-case token-event graphs are laid out side by side and joined through an induction node and a universally-quantified goal node.
▪
The following options can be given:
option
default
description
"GraftDerived"
True
graft each derived-axiom sub-proof onto its use site;
False
shows derived axioms as given (green) axioms
"MergeAsAxiom"
False
color grafted use sites as axioms rather than derived theorems
"LemmaComponents"
All
which lemma-case components to include
▪
Vertices carry equation-box or event-disc shapes; use
proofGraph
for a laid-out, styled rendering.
​
Examples  
(1)
Basic Examples  
(1)
Build the proof graph for the binary-incrementer machine 453:
In[1]:=
inductionProofGraph

cachedProofFor
[453]
Out[1]=
SeeAlso
proofGraph
 
▪
cachedProofFor
 
▪
FindInductiveProof
 
▪
MultiwayInductiveProofPanel
RelatedGuides
▪
TuringMachine
""

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