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`
DecodeTuringMachineRules
​
DecodeTuringMachineRules[number,s,k]
decodes the Turing machine number (with s states and k colors) into a list of symbolic transition rules of the form
{state,symbol}{newState,writeSymbol,direction}
.
​
Details and Options
▪
States are the symbols
qA
,
qB
,
qC
,
qD
; tape colors are
s0
,
s1
,
s2
,
s3
. These are the alphabet the rest of the inductive-proof machinery reasons over.
▪
direction is
1
or
-1
.
▪
The decoding wraps the
TuringMachineFromNumber
resource function and relabels its integer states and colors with these symbols.
​
Examples  
(1)
Basic Examples  
(1)
Decode the two-state, two-color binary-incrementer machine 453:
In[1]:=
DecodeTuringMachineRules
[453,2,2]
Out[1]=
{{qA,s1}{qA,s0,-1},{qA,s0}{qB,s1,1},{qB,s1}{qA,s0,-1},{qB,s0}{qB,s0,1}}
SeeAlso
RunMachine
 
▪
CompressToRunLength
 
▪
FindInductiveProof
 
▪
TuringMachineRuleCases
RelatedGuides
▪
TuringMachine
""

© 2026 Wolfram. All rights reserved.

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