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TuringMachine

Guides

  • TuringMachine

Tech Notes

  • Exploring One-Sided Turing Machines

Symbols

  • MultiwayNonHaltedStatesLeft
  • MultiwayTuringMachineFunction
  • MultiwayTuringMachineRules
  • NonTerminatingTuringMachineQ
  • OneSidedTuringMachineFind
  • OneSidedTuringMachineFunction
  • OneSidedTuringMachinePlot
  • TuringMachineOutput
  • TuringMachineOutputWithStepsFloat
  • TuringMachineOutputWithSteps
  • TuringMachineOutputWithStepsWidthsFloat
  • TuringMachineOutputWithStepsWidths
  • TuringMachineRuleCases
  • TuringMachineRuleCount
  • TuringMachineSteps
  • TuringMachineStepsWidths
  • TuringMachineWidths

Overviews

  • TuringMachine
WolframInstitute`TuringMachine`
MultiwayTuringMachineRules
​
MultiwayTuringMachineRules
[rules,s,k]
gives an association mapping each
{state,symbol}
to a list of transition triples
{nextState,writeSymbol,direction}
.
​
​
MultiwayTuringMachineRules
[rules]
assumes 2 states and 2 symbols.
​
Details and Options
▪
A multiway machine is given by a list of integer rule numbers; each rule contributes its transitions, and the union is what makes the machine nondeterministic.
▪
A
{state,symbol}
that maps to more than one triple is a branching point: the machine can take any of those transitions. This is the multivalued counterpart of
TuringMachineRuleCases
.
Examples  
(0)
SeeAlso
TuringMachineRuleCases
 
▪
MultiwayTuringMachineFunction
 
▪
MultiwayNonHaltedStatesLeft
RelatedGuides
▪
TuringMachine
The transition table of the multiway machine built from rules 12 and 13 (2 states, 2 colors) — the
{2,0}
cell carries two transitions:
In[1]:=
MultiwayTuringMachineRules
[{12,13},2,2]
Out[1]=
{{1,0}{{1,0,-1}},{1,1}{{1,0,-1}},{2,0}{{2,0,-1},{2,0,1}},{2,1}{{1,0,1}}}
""

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