The Wolfram System is the tool that has made possible Stephen Wolfram's exploration of the computational universe, and the emerging field of Wolfram Science (NKS). Whether for modeling, algorithm discovery, or basic NKS, the Wolfram Language has immediate built-in capabilities for the systematic study of a broad range of computational systems.

CellularAutomaton — general cellular automaton in 1D, 2D, etc.

TuringMachine — general Turing machine in 1D, 2D, etc.

SubstitutionSystem — general string, array, etc. substitution system in 1D, 2D, etc.

ShiftRegisterSequence — sequence from a linear or nonlinear feedback shift register

ThueMorse  ▪  RudinShapiro

expr/.rule — apply a rule

NestList — iteratively apply a function or evolution rule

NestWhileList — iterate while checking for looping or termination

StringReplace, StringReplaceList — rewrite, substitution, and multiway systems

ArrayFlatten — flatten out steps in 2D substitution systems etc.

Groupings — generate all possible trees applying binary etc. operators to a list

RulePlot — visualize rules and evolutions of computational systems

ArrayPlot, ListPlot — visualize arrays of data

GraphPlot, TreePlot — visualize networks

AnglePath, AnglePath3D — generate paths from 2D, 3D angles

FindSequenceFunction — find functional forms for integer sequences

Boolean Functions »

BooleanFunction  ▪  BooleanTable  ▪  BooleanConvert  ▪  ...