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GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it

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 PatternClass 
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 A permutation pattern class package 
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2.3
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05/07/2017
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Ruth Hoffmann
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Steve Linton
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Michael Albert
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Ruth Hoffmann
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Email: mailto:[email protected]
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Homepage: TODO
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Address: TODO
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Steve Linton
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Email: mailto:[email protected]
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Homepage: http://sal.host.cs.st-andrews.ac.uk/
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Address: Steve Linton
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School of Computer Science,
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University of St. Andrews,
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North Haugh,
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St. Andrews,
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Fife,
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KY16 9SS,
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SCOTLAND
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Michael Albert
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Email: mailto:[email protected]
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Homepage: http://www.cs.otago.ac.nz/staff/michael.html
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Address: Michael Albert
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Department of Computer Science,
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University of Otago,
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PO Box 56,
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DUNEDIN 9054,
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New Zealand,
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Contents (PatternClass)
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1 Introduction
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2 Token Passing Networks
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2.1 Specific TPN
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2.1-1 Parstacks
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2.1-2 Seqstacks
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2.1-3 BufferAndStack
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3 Permutation Encoding
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3.1 Encoding and Decoding
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3.1-1 RankEncoding
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3.1-2 RankDecoding
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3.1-3 SequencesToRatExp
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4 From Networks to Automata
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4.1 Functions
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4.1-1 GraphToAut
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4.1-2 ConstrainedGraphToAut
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5 From Automata to Networks
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5.1 Functions
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5.1-1 IsStarClosed
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5.1-2 Is2StarReplaceable
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5.1-3 IsStratified
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5.1-4 IsPossibleGraphAut
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6 Pattern Classes
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6.1 Transducers
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6.1-1 Transducer
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6.1-2 DeletionTransducer
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6.1-3 TransposedTransducer
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6.1-4 InvolvementTransducer
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6.1-5 CombineAutTransducer
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6.2 From Class to Basis and vice versa
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6.2-1 BasisAutomaton
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6.2-2 ClassAutomaton
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6.2-3 BoundedClassAutomaton
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6.2-4 ClassAutFromBaseEncoding
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6.2-5 ClassAutFromBase
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6.2-6 ExpandAlphabet
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6.3 Direct Sum of Regular Classes
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6.3-1 ClassDirectSum
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6.4 Statistical Inspections
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6.4-1 Spectrum
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6.4-2 NumberAcceptedWords
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6.4-3 AutStateTransitionMatrix
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6.4-4 AcceptedWords
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6.4-5 AcceptedWordsR
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7 Some Permutation Essentials
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7.1 Complement
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7.1-1 PermComplement
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7.2 Rank Encoding
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7.2-1 IsRankEncoding
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8 Properties of Permutations
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8.1 Intervals in Permutations
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8.1-1 IsInterval
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8.2 Simplicity
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8.2-1 IsSimplePerm
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8.3 Point Deletion in Simple Permutations
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8.3-1 OnePointDelete
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8.3-2 TwoPointDelete
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8.3-3 PointDeletion
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8.4 Block-Decomposition
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8.4-1 Inflation
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8.4-2 BlockDecomposition
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8.5 Plus-Decomposability
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8.5-1 IsPlusDecomposable
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8.6 Minus-Decomposability
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8.6-1 IsMinusDecomposable
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8.7 Sums of Permutations
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8.7-1 PermDirectSum
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8.7-2 PermSkewSum
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9 Regular Languages of Sets of Permutations
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9.1 Inversions in Permutations
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9.1-1 InversionAut
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9.1-2 InversionAutOfClass
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9.2 Plus- and Minus-(In)Decomposablilty
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9.2-1 PlusDecomposableAut
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9.2-2 PlusIndecomposableAut
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9.2-3 MinusDecomposableAut
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9.2-4 MinusIndecomposableAut
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9.3 Language of all non-simple permutations
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9.3-1 LengthBoundAut
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9.3-2 ShiftAut
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9.3-3 NextGap
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9.3-4 GapAut
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9.3-5 SumAut
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9.3-6 GapSumAut
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9.3-7 NonSimpleAut
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9.4 Simplicity
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9.4-1 SimplePermAut
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9.5 Exceptionality
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9.5-1 IsExceptionalPerm
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9.5-2 ExceptionalBoundedAutomaton
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10 Miscellaneous functions
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10.1 Permutation Inclusion Set
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10.1-1 InbetweenPermAutomaton
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10.1-2 InbetweenPermSet
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10.1-3 IsSubPerm
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10.2 Automaton Manipulation
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10.2-1 LoopFreeAut
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10.2-2 LoopVertexFreeAut
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