Wolfram Language Paclet Repository

Community-contributed installable additions to the Wolfram Language

Primary Navigation

    • Cloud & Deployment
    • Core Language & Structure
    • Data Manipulation & Analysis
    • Engineering Data & Computation
    • External Interfaces & Connections
    • Financial Data & Computation
    • Geographic Data & Computation
    • Geometry
    • Graphs & Networks
    • Higher Mathematical Computation
    • Images
    • Knowledge Representation & Natural Language
    • Machine Learning
    • Notebook Documents & Presentation
    • Scientific and Medical Data & Computation
    • Social, Cultural & Linguistic Data
    • Strings & Text
    • Symbolic & Numeric Computation
    • System Operation & Setup
    • Time-Related Computation
    • User Interface Construction
    • Visualization & Graphics
    • Random Paclet
    • Alphabetical List
  • Using Paclets
    • Get Started
    • Download Definition Notebook
  • 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`InductiveProofs`
MultiwayBothPanel
​
MultiwayBothPanel
[ru]
renders side-by-side faded multiway token-event cones for the base and step cases of the Turing machine ru, captioned with the induction rule.
​
Details and Options
▪
The left cone grows from the base statement (P₀) and the right from the step statement (Pₘ ⟹ Pₘ₊₁); the caption states the induction schema that combines them.
▪
Options include
"BaseSteps"
(default 6),
"StepSteps"
(default 8),
"Axioms"
(
"Raw"
or the proof's axioms),
"WellFormedOnly"
,
"Oriented"
,
"FadeOpacity"
,
"MaxStates"
, and
"Height"
.
​
Examples  
(1)
Basic Examples  
(1)
The base and step cones for the binary-incrementer machine 453:
In[1]:=
MultiwayBothPanel
[453]
Out[1]=
SeeAlso
MultiwayTokenEventGraph
 
▪
TokenEventPanel
 
▪
MultiwayInductiveProofPanel
RelatedGuides
▪
TuringMachine
""

© 2026 Wolfram. All rights reserved.

  • Legal & Privacy Policy
  • Contact Us
  • WolframAlpha.com
  • WolframCloud.com