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  <title>The Archive of Formal Proofs - Index by Topic</title>
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<p> </p>
<h1>Index by Topic</h1>
<p> </p>

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<h2>Computer Science</h2>

<h3>Automata and Formal Languages</h3>

<div class="list">
<a href="entries/KBPs.shtml">KBPs</a> &nbsp;
<a href="entries/Regular-Sets.shtml">Regular-Sets</a> &nbsp;
<a href="entries/Presburger-Automata.shtml">Presburger-Automata</a> &nbsp;
<a href="entries/Functional-Automata.shtml">Functional-Automata</a> &nbsp;
<a href="entries/Statecharts.shtml">Statecharts</a> &nbsp;
<a href="entries/Tree-Automata.shtml">Tree-Automata</a> &nbsp;
</div>

<h3>Algorithms</h3>

<div class="list">
<a href="entries/DPT-SAT-Solver.shtml">DPT-SAT-Solver</a> &nbsp;
<a href="entries/Depth-First-Search.shtml">Depth-First-Search</a> &nbsp;
<a href="entries/FFT.shtml">FFT</a> &nbsp;
<a href="entries/Gauss-Jordan-Elim-Fun.shtml">Gauss-Jordan-Elim-Fun</a> &nbsp;
<a href="entries/GraphMarkingIBP.shtml">GraphMarkingIBP</a> &nbsp;
<a href="entries/SATSolverVerification.shtml">SATSolverVerification</a> &nbsp;
<a href="entries/Transitive-Closure.shtml">Transitive-Closure</a> &nbsp;
<a href="entries/MuchAdoAboutTwo.shtml">MuchAdoAboutTwo</a> &nbsp;

<strong>Distributed:</strong>&nbsp;<a href="entries/DiskPaxos.shtml">DiskPaxos</a> &nbsp;
<a href="entries/GenClock.shtml">GenClock</a> &nbsp;
<a href="entries/ClockSynchInst.shtml">ClockSynchInst</a> &nbsp;
</div>

<h3>Data Structures</h3>

<div class="list">
<a href="entries/AVL-Trees.shtml">AVL-Trees</a> &nbsp;
<a href="entries/BDD.shtml">BDD</a> &nbsp;
<a href="entries/BinarySearchTree.shtml">BinarySearchTree</a> &nbsp;
<a href="entries/Binomial-Queues.shtml">Binomial-Queues</a> &nbsp;
<a href="entries/Binomial-Heaps.shtml">Binomial-Heaps</a> &nbsp;
<a href="entries/Finger-Trees.shtml">Finger-Trees</a> &nbsp;
<a href="entries/FinFun.shtml">FinFun</a> &nbsp;
<a href="entries/Collections.shtml">Collections</a> &nbsp;
<a href="entries/FileRefinement.shtml">FileRefinement</a> &nbsp;
<a href="entries/List-Index.shtml">List-Index</a> &nbsp;
<a href="entries/List-Infinite.shtml">List-Infinite</a> &nbsp;
<a href="entries/Matrix.shtml">Matrix</a> &nbsp;
<a href="entries/Huffman.shtml">Huffman</a> &nbsp;
<a href="entries/Lazy-Lists-II.shtml">Lazy-Lists-II</a> &nbsp;
</div>

<h3>Functional Programming</h3>

<div class="list">
<a href="entries/Coinductive.shtml">Coinductive</a> &nbsp;
<a href="entries/Stream-Fusion.shtml">Stream-Fusion</a> &nbsp;
</div>

<h3>Programming Languages</h3>

<div class="list">

<strong>Language Definitions:</strong>&nbsp;<a href="entries/LightweightJava.shtml">LightweightJava</a> &nbsp;
<a href="entries/CoreC++.shtml">CoreC++</a> &nbsp;
<a href="entries/FeatherweightJava.shtml">FeatherweightJava</a> &nbsp;
<a href="entries/Jinja.shtml">Jinja</a> &nbsp;
<a href="entries/JinjaThreads.shtml">JinjaThreads</a> &nbsp;
<a href="entries/Locally-Nameless-Sigma.shtml">Locally-Nameless-Sigma</a> &nbsp;
<a href="entries/AutoFocus-Stream.shtml">AutoFocus-Stream</a> &nbsp;
<a href="entries/Simpl.shtml">Simpl</a> &nbsp;

<strong>Lambda Calculi:</strong>&nbsp;<a href="entries/POPLmark-deBruijn.shtml">POPLmark-deBruijn</a> &nbsp;
<a href="entries/Lam-ml-Normalization.shtml">Lam-ml-Normalization</a> &nbsp;

<strong>Type Systems:</strong>&nbsp;<a href="entries/MiniML.shtml">MiniML</a> &nbsp;
<a href="entries/VolpanoSmith.shtml">VolpanoSmith</a> &nbsp;

<strong>Logics:</strong>&nbsp;<a href="entries/MonoBoolTranAlgebra.shtml">MonoBoolTranAlgebra</a> &nbsp;
<a href="entries/Simpl.shtml">Simpl</a> &nbsp;
<a href="entries/Abstract-Hoare-Logics.shtml">Abstract-Hoare-Logics</a> &nbsp;
<a href="entries/BytecodeLogicJmlTypes.shtml">BytecodeLogicJmlTypes</a> &nbsp;
<a href="entries/DataRefinementIBP.shtml">DataRefinementIBP</a> &nbsp;
<a href="entries/SIFPL.shtml">SIFPL</a> &nbsp;
<a href="entries/TLA.shtml">TLA</a> &nbsp;

<strong>Compiling:</strong>&nbsp;<a href="entries/Compiling-Exceptions-Correctly.shtml">Compiling-Exceptions-Correctly</a> &nbsp;
<a href="entries/NormByEval.shtml">NormByEval</a> &nbsp;

<strong>Static Analysis:</strong>&nbsp;<a href="entries/RIPEMD-160-SPARK.shtml">RIPEMD-160-SPARK</a> &nbsp;
<a href="entries/Program-Conflict-Analysis.shtml">Program-Conflict-Analysis</a> &nbsp;
<a href="entries/Shivers-CFA.shtml">Shivers-CFA</a> &nbsp;
<a href="entries/Slicing.shtml">Slicing</a> &nbsp;
<a href="entries/HRB-Slicing.shtml">HRB-Slicing</a> &nbsp;

<strong>Transformations:</strong>&nbsp;<a href="entries/WorkerWrapper.shtml">WorkerWrapper</a> &nbsp;

<strong>Misc:</strong>&nbsp;<a href="entries/JiveDataStoreModel.shtml">JiveDataStoreModel</a> &nbsp;
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<h3>Security</h3>

<div class="list">
<a href="entries/VolpanoSmith.shtml">VolpanoSmith</a> &nbsp;
<a href="entries/SIFPL.shtml">SIFPL</a> &nbsp;
<a href="entries/HotelKeyCards.shtml">HotelKeyCards</a> &nbsp;
<a href="entries/RSAPSS.shtml">RSAPSS</a> &nbsp;
<a href="entries/InformationFlowSlicing.shtml">InformationFlowSlicing</a> &nbsp;
</div>

<h2>Logic</h2>

<div class="list">
<a href="entries/Presburger-Automata.shtml">Presburger-Automata</a> &nbsp;
<a href="entries/Verified-Prover.shtml">Verified-Prover</a> &nbsp;
<a href="entries/Completeness.shtml">Completeness</a> &nbsp;
<a href="entries/Ordinal.shtml">Ordinal</a> &nbsp;
<a href="entries/Ordinals_and_Cardinals.shtml">Ordinals_and_Cardinals</a> &nbsp;
<a href="entries/FOL-Fitting.shtml">FOL-Fitting</a> &nbsp;
<a href="entries/SequentInvertibility.shtml">SequentInvertibility</a> &nbsp;
<a href="entries/LinearQuantifierElim.shtml">LinearQuantifierElim</a> &nbsp;
<a href="entries/Nat-Interval-Logic.shtml">Nat-Interval-Logic</a> &nbsp;
<a href="entries/Recursion-Theory-I.shtml">Recursion-Theory-I</a> &nbsp;
<a href="entries/Free-Boolean-Algebra.shtml">Free-Boolean-Algebra</a> &nbsp;
</div>

<h3>Rewriting</h3>

<div class="list">
<a href="entries/Abstract-Rewriting.shtml">Abstract-Rewriting</a> &nbsp;
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<h2>Mathematics</h2>

<h3>Algebra</h3>

<div class="list">
<a href="entries/PseudoHoops.shtml">PseudoHoops</a> &nbsp;
<a href="entries/LatticeProperties.shtml">LatticeProperties</a> &nbsp;
<a href="entries/Gauss-Jordan-Elim-Fun.shtml">Gauss-Jordan-Elim-Fun</a> &nbsp;
<a href="entries/Free-Groups.shtml">Free-Groups</a> &nbsp;
<a href="entries/CofGroups.shtml">CofGroups</a> &nbsp;
<a href="entries/Group-Ring-Module.shtml">Group-Ring-Module</a> &nbsp;
<a href="entries/Robbins-Conjecture.shtml">Robbins-Conjecture</a> &nbsp;
<a href="entries/Valuation.shtml">Valuation</a> &nbsp;
</div>

<h3>Analysis</h3>

<div class="list">
<a href="entries/Lower_Semicontinuous.shtml">Lower_Semicontinuous</a> &nbsp;
<a href="entries/Cauchy.shtml">Cauchy</a> &nbsp;
<a href="entries/Integration.shtml">Integration</a> &nbsp;
<a href="entries/Polynomials.shtml">Polynomials</a> &nbsp;
</div>

<h3>Number Theory</h3>

<div class="list">
<a href="entries/Fermat3_4.shtml">Fermat3_4</a> &nbsp;
<a href="entries/Perfect-Number-Thm.shtml">Perfect-Number-Thm</a> &nbsp;
<a href="entries/SumSquares.shtml">SumSquares</a> &nbsp;
</div>

<h3>Social Choice Theory</h3>

<div class="list">
<a href="entries/ArrowImpossibilityGS.shtml">ArrowImpossibilityGS</a> &nbsp;
<a href="entries/SenSocialChoice.shtml">SenSocialChoice</a> &nbsp;
</div>

<h3>Geometry</h3>

<div class="list">
<a href="entries/General-Triangle.shtml">General-Triangle</a> &nbsp;
</div>

<h3>Topology</h3>

<div class="list">
<a href="entries/Topology.shtml">Topology</a> &nbsp;
</div>

<h3>Graph Theory</h3>

<div class="list">
<a href="entries/Max-Card-Matching.shtml">Max-Card-Matching</a> &nbsp;
<a href="entries/Flyspeck-Tame.shtml">Flyspeck-Tame</a> &nbsp;
</div>

<h3>Combinatorics</h3>

<div class="list">
<a href="entries/Marriage.shtml">Marriage</a> &nbsp;
<a href="entries/Ramsey-Infinite.shtml">Ramsey-Infinite</a> &nbsp;
</div>

<h3>Category Theory</h3>

<div class="list">
<a href="entries/Category.shtml">Category</a> &nbsp;
<a href="entries/Category2.shtml">Category2</a> &nbsp;
</div>

<h3>Misc</h3>

<div class="list">
<a href="entries/FunWithFunctions.shtml">FunWithFunctions</a> &nbsp;
<a href="entries/FunWithTilings.shtml">FunWithTilings</a> &nbsp;
</div>


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