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<!DOCTYPE html>
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<title>Tyche Documentation — Tyche v1.0.1 documentation</title>
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<section id="tyche-documentation">
<h1>Tyche Documentation<a class="headerlink" href="#tyche-documentation" title="Permalink to this heading">¶</a></h1>
<p>Tyche is a Python library to support the representation of, and the reasoning about, aleatoric information.
Aleatoric information is information that has an independent probability of being true each time it is observed
(i.e., each observation is treated as a roll of the dice). For example, every text message that people send _may_
include emojis, with a different probability for each individual that sent the message. Tyche provides functionality
to reason about this aleatoric information using aleatoric description logic. This allows the probability of truth
of logical statements to be efficiently queried, and allows the probability of the tendencies of individuals to
be learnt through observation.</p>
<p><strong>GitHub:</strong> <a class="reference external" href="https://github.com/TycheLibrary/Tyche">github.com/TycheLibrary/Tyche</a></p>
<p><strong>Tyche Paper:</strong></p>
<ul class="simple">
<li><p>“Tyche: A library for probabilistic reasoning and belief modelling in Python”
by Padraig Lamont (2022): <a class="reference external" href="https://doi.org/10.1007/978-3-031-22695-3_27">link</a>
and <a class="reference external" href="https://arxiv.org/abs/2208.09838">old arXiv link</a></p></li>
</ul>
<p><strong>Related Publications:</strong></p>
<ul class="simple">
<li><p>“Aleatoric Description Logic for Probabilistic Reasoning” by
Tim French and Thomas Smoker (2021):
<a class="reference external" href="https://arxiv.org/abs/2108.13036">arXiv link</a></p></li>
<li><p>“A modal aleatoric calculus for probabilistic reasoning” by
Tim French, Andrew Gozzard and Mark Reynolds (2018):
<a class="reference external" href="https://arxiv.org/abs/1812.11741">arXiv link</a></p></li>
</ul>
<section id="table-of-contents">
<h2>Table of Contents<a class="headerlink" href="#table-of-contents" title="Permalink to this heading">¶</a></h2>
<div class="toctree-wrapper compound">
<ul>
<li class="toctree-l1"><a class="reference internal" href="language.html">tyche.language</a><ul>
<li class="toctree-l2"><a class="reference internal" href="language.html#tyche.language.TycheLanguageException">TycheLanguageException</a></li>
<li class="toctree-l2"><a class="reference internal" href="language.html#tyche.language.RoleDist">RoleDist</a></li>
<li class="toctree-l2"><a class="reference internal" href="language.html#tyche.language.ExclusiveRoleDist">ExclusiveRoleDist</a></li>
<li class="toctree-l2"><a class="reference internal" href="language.html#tyche.language.IndependentRoleDist">IndependentRoleDist</a></li>
<li class="toctree-l2"><a class="reference internal" href="language.html#tyche.language.TycheContext">TycheContext</a></li>
<li class="toctree-l2"><a class="reference internal" href="language.html#tyche.language.EmptyContext">EmptyContext</a></li>
<li class="toctree-l2"><a class="reference internal" href="language.html#tyche.language.ADLNode">ADLNode</a></li>
<li class="toctree-l2"><a class="reference internal" href="language.html#tyche.language.Atom">Atom</a></li>
<li class="toctree-l2"><a class="reference internal" href="language.html#tyche.language.Concept">Concept</a></li>
<li class="toctree-l2"><a class="reference internal" href="language.html#tyche.language.Constant">Constant</a></li>
<li class="toctree-l2"><a class="reference internal" href="language.html#tyche.language.Role">Role</a></li>
<li class="toctree-l2"><a class="reference internal" href="language.html#tyche.language.ConstantRole">ConstantRole</a></li>
<li class="toctree-l2"><a class="reference internal" href="language.html#tyche.language.ReferenceBackedRole">ReferenceBackedRole</a></li>
<li class="toctree-l2"><a class="reference internal" href="language.html#tyche.language.Conditional">Conditional</a></li>
<li class="toctree-l2"><a class="reference internal" href="language.html#tyche.language.ConditionalWithoutElse">ConditionalWithoutElse</a></li>
<li class="toctree-l2"><a class="reference internal" href="language.html#tyche.language.Given">Given</a></li>
<li class="toctree-l2"><a class="reference internal" href="language.html#tyche.language.Expectation">Expectation</a></li>
<li class="toctree-l2"><a class="reference internal" href="language.html#tyche.language.Exists">Exists</a></li>
<li class="toctree-l2"><a class="reference internal" href="language.html#tyche.language.LeastFixedPoint">LeastFixedPoint</a></li>
</ul>
</li>
<li class="toctree-l1"><a class="reference internal" href="individuals.html">tyche.individuals</a><ul>
<li class="toctree-l2"><a class="reference internal" href="individuals.html#tyche.individuals.TycheIndividualsException">TycheIndividualsException</a></li>
<li class="toctree-l2"><a class="reference internal" href="individuals.html#tyche.individuals.TycheAccessorStore">TycheAccessorStore</a></li>
<li class="toctree-l2"><a class="reference internal" href="individuals.html#tyche.individuals.ConceptFunctionSymbolReference">ConceptFunctionSymbolReference</a></li>
<li class="toctree-l2"><a class="reference internal" href="individuals.html#tyche.individuals.RoleFunctionSymbolReference">RoleFunctionSymbolReference</a></li>
<li class="toctree-l2"><a class="reference internal" href="individuals.html#tyche.individuals.IndividualPropertyDecorator">IndividualPropertyDecorator</a></li>
<li class="toctree-l2"><a class="reference internal" href="individuals.html#tyche.individuals.TycheConceptDecorator">TycheConceptDecorator</a></li>
<li class="toctree-l2"><a class="reference internal" href="individuals.html#tyche.individuals.TycheRoleDecorator">TycheRoleDecorator</a></li>
<li class="toctree-l2"><a class="reference internal" href="individuals.html#tyche.individuals.concept">concept</a></li>
<li class="toctree-l2"><a class="reference internal" href="individuals.html#tyche.individuals.role">role</a></li>
<li class="toctree-l2"><a class="reference internal" href="individuals.html#tyche.individuals.LearningStrategy">LearningStrategy</a></li>
<li class="toctree-l2"><a class="reference internal" href="individuals.html#tyche.individuals.ConceptLearningStrategy">ConceptLearningStrategy</a></li>
<li class="toctree-l2"><a class="reference internal" href="individuals.html#tyche.individuals.RoleLearningStrategy">RoleLearningStrategy</a></li>
<li class="toctree-l2"><a class="reference internal" href="individuals.html#tyche.individuals.DirectConceptLearningStrategy">DirectConceptLearningStrategy</a></li>
<li class="toctree-l2"><a class="reference internal" href="individuals.html#tyche.individuals.StatisticalConceptLearningStrategy">StatisticalConceptLearningStrategy</a></li>
<li class="toctree-l2"><a class="reference internal" href="individuals.html#tyche.individuals.BayesRuleLearningStrategy">BayesRuleLearningStrategy</a></li>
<li class="toctree-l2"><a class="reference internal" href="individuals.html#tyche.individuals.StatisticalRoleLearningStrategy">StatisticalRoleLearningStrategy</a></li>
<li class="toctree-l2"><a class="reference internal" href="individuals.html#tyche.individuals.Individual">Individual</a></li>
<li class="toctree-l2"><a class="reference internal" href="individuals.html#tyche.individuals.IdentityIndividual">IdentityIndividual</a></li>
</ul>
</li>
<li class="toctree-l1"><a class="reference internal" href="distributions.html">tyche.distributions</a><ul>
<li class="toctree-l2"><a class="reference internal" href="distributions.html#tyche.distributions.TycheDistributionsException">TycheDistributionsException</a></li>
<li class="toctree-l2"><a class="reference internal" href="distributions.html#tyche.distributions.ProbDist">ProbDist</a></li>
<li class="toctree-l2"><a class="reference internal" href="distributions.html#tyche.distributions.ContinuousProbDist">ContinuousProbDist</a></li>
<li class="toctree-l2"><a class="reference internal" href="distributions.html#tyche.distributions.LinearTransformContinuousProbDist">LinearTransformContinuousProbDist</a></li>
<li class="toctree-l2"><a class="reference internal" href="distributions.html#tyche.distributions.TruncatedContinuousProbDist">TruncatedContinuousProbDist</a></li>
<li class="toctree-l2"><a class="reference internal" href="distributions.html#tyche.distributions.UniformDist">UniformDist</a></li>
<li class="toctree-l2"><a class="reference internal" href="distributions.html#tyche.distributions.NormalDist">NormalDist</a></li>
</ul>
</li>
<li class="toctree-l1"><a class="reference internal" href="probability.html">tyche.probability</a><ul>
<li class="toctree-l2"><a class="reference internal" href="probability.html#tyche.probability.TycheProbabilityException">TycheProbabilityException</a></li>
<li class="toctree-l2"><a class="reference internal" href="probability.html#tyche.probability.random_probability">random_probability</a></li>
<li class="toctree-l2"><a class="reference internal" href="probability.html#tyche.probability.uncertain_bayes_rule">uncertain_bayes_rule</a></li>
</ul>
</li>
<li class="toctree-l1"><a class="reference internal" href="references.html">tyche.references</a><ul>
<li class="toctree-l2"><a class="reference internal" href="references.html#tyche.references.TycheReferencesException">TycheReferencesException</a></li>
<li class="toctree-l2"><a class="reference internal" href="references.html#tyche.references.SymbolReference">SymbolReference</a></li>
<li class="toctree-l2"><a class="reference internal" href="references.html#tyche.references.BakedSymbolReference">BakedSymbolReference</a></li>
<li class="toctree-l2"><a class="reference internal" href="references.html#tyche.references.FieldSymbolReference">FieldSymbolReference</a></li>
<li class="toctree-l2"><a class="reference internal" href="references.html#tyche.references.FunctionSymbolReference">FunctionSymbolReference</a></li>
<li class="toctree-l2"><a class="reference internal" href="references.html#tyche.references.GuardedSymbolReference">GuardedSymbolReference</a></li>
</ul>
</li>
</ul>
</div>
</section>
<section id="indices-and-tables">
<h2>Indices and tables<a class="headerlink" href="#indices-and-tables" title="Permalink to this heading">¶</a></h2>
<ul class="simple">
<li><p><a class="reference internal" href="genindex.html"><span class="std std-ref">Index</span></a></p></li>
<li><p><a class="reference internal" href="py-modindex.html"><span class="std std-ref">Module Index</span></a></p></li>
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