Substitution Systems in the Wolfram Physics Project

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Substitution Systems in the Wolfram Physics Project

String substitution systems are an important simplified case of Wolfram models, particularly relevant in studying phenomena related to quantum mechanics.

Basic Evolution

SubstitutionSystem

— evolution of string substitution systems

RulePlot

— visualization of substitution system rule

□	SubstitutionSystemPlot

— neighbor-independent substitution system visualization

Alternate Updating Orders

□	SequentialSubstitutionSystem

— update at each position in left-right order

□	PrioritizedSubstitutionSystem

— update at specified positions

Causal Graphs, etc.

□	SubstitutionSystemCausalGraph

— generate a causal graph for a substitution system

□	SubstitutionSystemCausalEvolution

— evolution including causal information

□	SubstitutionSystemCausalPlot

— visualize evolution including causal information

Rules & Initial Conditions

□	EnumerateSubstitutionSystemRules

— enumerate rules with a given signature

□	RandomSubstitutionSystemRule

— random rule with a given signature

□	EnumerateRuleSignatures

— enumerate signatures involving given number of elements

□	StringTuples

— enumerate possible tuples of a given set of characters

Causal Invariance, etc.

□	CausalInvariantQ

— test if a rule is causal invariant

□	StringOverlapsQ

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□	StringOverlaps

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□	OverlapFreeStringTuples

Multiway Substitution Systems »

□	MultiwaySystem

— multiway evolution and properties

RelatedGuides

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Wolfram Physics Project Functions

RelatedLinks

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Wolfram Physics Project Home Page

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Hands-On Introduction to the Wolfram Physics Project

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Wolfram Physics Project: Technical Introduction

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