From e3484a33d7823164f30c01cb20157df01f68542e Mon Sep 17 00:00:00 2001
From: Markus Pfeiffer <markus.pfeiffer@morphism.de>
Date: Wed, 7 Jun 2017 08:51:12 +0100
Subject: [PATCH] Add some notes on aligning GAP with MMT

---
 source/alignment.txt | 289 +++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 289 insertions(+)
 create mode 100644 source/alignment.txt

diff --git a/source/alignment.txt b/source/alignment.txt
new file mode 100644
index 0000000..b286328
--- /dev/null
+++ b/source/alignment.txt
@@ -0,0 +1,289 @@
+// Some attempts at generating alignments for GAP - MMT
+
+// I use "Maybe" to signify that there are not guarantees as to
+// what the return 
+// it I want to keep note of expected return filters.
+
+BASE_URI = http://www.gap-system.org/lib/
+
+// this is not quite a set, because it's "homogeneous" as in things
+// in a collection can only be in the same family
+// The filter IsListOrCollection is implied by IsCollection (and that
+// sohuld also be reflected in the GAP export)
+?coll?IsListOrCollection : IsObject -> Bool
+?coll?IsCollection : IsObject -> Bool
+
+// This is more general than groups...
+?coll?Size : IsCollection -> Natural or infinity
+
+// How do we create, say, permutations or matrices?
+
+// this becomes a permutation group if one lumps permutations
+// in
+?grp?Group : List Stuff -> Maybe IsGroup
+
+// GroupWithGenerators, (part of) 
+// GAP export:
+//  IsCollection -> Maybe IsGroup
+//  IsCollection -> IsMultiplicativeElementWithInverse -> Maybe IsGroup
+?grp?GroupWithGenerators : IsCollection -> Maybe IsGroup
+?grp?GroupWithGenerators : IsCollection -> IsMultiplicativeElementWithInverse -> Maybe IsGroup
+
+
+(Can we query all symbols that come out of the GAP export that have
+ "IsGroup" as one argument filter?
+ Things are applicable, like "Size")
+
+?grp?GeneratorsOfGroup : IsGroup -> IsListOrCollection
+
+?grp?NaturalHomomorphism : IsGroup -> IsGroup -> IsGroup
+
+?grp?RationalClasses : IsGroup -> List IsRationalClass
+
+// This is a generated thing, and a mutable attribute...
+?grp?ComputedPRumps : IsGroup -> IsPosInt -> Maybe IsGroup
+?grp?PRump : IsGroup -> IsPosInt -> IsGroup
+
+?grp?IsPSolvable : IsGroup -> IsPosInt -> Bool
+
+
+
+?grp?SylowSubgroupOp : IsGroup -> IsPosInt -> IsGroup
+?grp?SylowSubgroup : IsGroup -> IsPosInt -> IsGroup
+
+?grp?Normalizer : IsGroup -> IsGroup -> IsGroup
+
+?grp?Agemo : IsGroup -> IsPosInt -> IsGroup
+?grp?Agemo : IsGroup -> IsPosInt -> IsPosInt -> IsGroup
+?grp?AgemoOp : IsGroup -> IsPosInt -> IsGroup
+
+constant RepresentativesPerfectSubgroupsï¿¼
+constant IsomorphismFpGroupByCompositionSeriesï¿¼
+constant RightTransversalï¿¼
+constant NormalClosureInParentï¿¼
+constant IsomorphismFpGroupByGeneratorsNCï¿¼
+constant ConjugateSubgroupï¿¼
+constant CanComputeSizeAnySubgroupï¿¼
+constant CanComputeSizeAnySubgroup_st0ï¿¼
+constant IsSolvableGroupï¿¼
+constant NormalClosureOpï¿¼
+constant GrowthFunctionOfGroupï¿¼
+constant IsRightTransversalï¿¼
+constant IsRightTransversal_st0ï¿¼
+constant IsRightTransversal_st1ï¿¼
+constant IsPNilpotentOpï¿¼
+constant RightTransversalInParentï¿¼
+constant IndependentGeneratorsOfAbelianGroupï¿¼
+constant IsRightTransversalRepï¿¼
+constant IsRightTransversalRep_st0ï¿¼
+constant IsRightTransversalRep_st1ï¿¼
+constant IsRightTransversalRep_st2ï¿¼
+constant IsRightTransversalRep_st3ï¿¼
+constant IsRightTransversalRep_st4ï¿¼
+constant ComputedHallSubgroupsï¿¼
+constant IsFinitelyGeneratedGroupï¿¼
+constant ConjugateGroupï¿¼
+constant IsPGroupï¿¼
+constant RankPGroupï¿¼
+constant MaximalSubgroupsï¿¼
+constant IsConjugateï¿¼
+constant PrefrattiniSubgroupï¿¼
+constant AbelianInvariantsï¿¼
+constant IsSubsetLocallyFiniteGroupï¿¼
+constant CosetTableNormalClosureï¿¼
+constant MinimalGeneratingSetï¿¼
+constant HallSystemï¿¼
+constant IsPSolvableOpï¿¼
+constant PrimePowerComponentsï¿¼
+constant IsPolycyclicGroupï¿¼
+constant CoreInParentï¿¼
+constant ComplementSystemï¿¼
+constant CommutatorFactorGroupï¿¼
+constant GeneratorsSmallestï¿¼
+constant Index
+constant PRumpOp
+constant IsSporadicSimpleGroup
+constant CosetTableï¿¼
+constant ConjugacyClassesSubgroupsï¿¼
+constant OmegaOpï¿¼
+constant IsSubnormalï¿¼
+constant IsAlmostSimpleGroupï¿¼
+constant AsSubgroupï¿¼
+constant IndexInParentï¿¼
+constant ConjugacyClassesPerfectSubgroupsï¿¼
+constant KnowsHowToDecomposeï¿¼
+constant SylowSystemï¿¼
+constant FrattiniSubgroupï¿¼
+constant IsGroupOfFamilyï¿¼
+constant IsomorphismPermGroupï¿¼
+constant JenningsSeriesï¿¼
+constant CanEasilyTestMembershipï¿¼
+constant DerivedSeriesOfGroupï¿¼
+constant PCoreï¿¼
+constant IndexOpï¿¼
+constant IsElementaryAbelianï¿¼
+constant IsomorphismFpGroupBySubnormalSeriesï¿¼
+constant IsomorphismFpGroupï¿¼
+constant PCoreOpï¿¼
+constant NormalSubgroupsï¿¼
+constant NormalClosureï¿¼
+constant LowIndexSubgroupsï¿¼
+constant LargestElementGroupï¿¼
+constant IsNormalï¿¼
+constant RadicalGroupï¿¼
+constant IsMonomialGroupï¿¼
+constant ConjugateSubgroupsï¿¼
+constant FactorGroupNCï¿¼
+constant DerivedSubgroupï¿¼
+constant IsCyclicï¿¼
+constant IsCharacteristicSubgroupï¿¼
+constant IsNormalOpï¿¼
+constant ClassMultiplicationCoefficientï¿¼
+constant ComputedPCentralSeriessï¿¼
+constant IndexInWholeGroupï¿¼
+constant CanComputeIndexï¿¼
+constant UpperCentralSeriesOfGroupï¿¼
+constant Exponentï¿¼
+constant IntermediateSubgroupsï¿¼
+constant CentralizerModuloï¿¼
+constant MaximalAbelianQuotientï¿¼
+constant SubnormalSeriesï¿¼
+constant NrConjugacyClassesInSupergroupï¿¼
+constant Coreï¿¼
+constant ElementaryAbelianSeriesLargeStepsï¿¼
+constant MinimalNormalSubgroupsï¿¼
+constant LowerCentralSeriesOfGroupï¿¼
+constant NrConjugacyClassesï¿¼
+constant RightTransversalOpï¿¼
+constant HallSubgroupOpï¿¼
+constant Isomorphism
+constant ClosureGroupï¿¼
+constant Socleï¿¼
+
+constant PowerMapOfGroupï¿¼
+
+constant MaximalSubgroupClassRepsï¿¼
+
+constant NormalIntersectionï¿¼
+
+constant CommutatorLengthï¿¼
+
+constant ChiefSeriesThroughï¿¼
+
+constant NormalizerOpï¿¼
+
+constant ComputedPCoresï¿¼
+
+constant MaximalNormalSubgroupsï¿¼
+
+constant LatticeSubgroupsï¿¼
+
+constant IsSupersolvableGroupï¿¼
+
+constant IsomorphismSpecialPcGroupï¿¼
+
+constant IsomorphismPcGroupï¿¼
+
+constant HirschLengthï¿¼
+
+constant AsGroupï¿¼
+
+constant PCentralSeriesOpï¿¼
+
+constant NormalHallSubgroupsï¿¼
+
+constant PCentralSeriesï¿¼
+
+constant RepresentativesSimpleSubgroupsï¿¼
+
+constant ComputedOmegasï¿¼
+
+constant IsPNilpotentï¿¼
+
+constant SylowComplementOpï¿¼
+
+constant GroupByGeneratorsï¿¼
+
+constant ComputedIsPNilpotentsï¿¼
+
+constant IsNilpotentGroupï¿¼
+
+constant CommutatorSubgroupï¿¼
+
+constant GroupStringï¿¼
+
+constant SylowComplementï¿¼
+
+constant HallSubgroupï¿¼
+
+constant SubnormalSeriesInParentï¿¼
+
+constant PerfectResiduumï¿¼
+
+constant SmallGeneratingSetï¿¼
+
+constant PrimePGroupï¿¼
+
+constant ChiefSeriesï¿¼
+
+constant FittingSubgroupï¿¼
+
+constant NormalMaximalSubgroupsï¿¼
+
+constant CoreOpï¿¼
+
+constant CompositionSeriesï¿¼
+
+constant EulerianFunctionï¿¼
+
+constant NormalizerInParentï¿¼
+
+constant InvariantFormï¿¼
+
+constant DerivedLengthï¿¼
+
+constant NilpotencyClassOfGroupï¿¼
+
+constant SubnormalSeriesOpï¿¼
+
+constant ElementaryAbelianSeriesï¿¼
+
+constant SupersolvableResiduumï¿¼
+
+constant ConjugacyClassesMaximalSubgroupsï¿¼
+
+constant IsSimpleGroupï¿¼
+
+constant IndexNCï¿¼
+
+constant ChiefSeriesUnderActionï¿¼
+
+constant IndependentGeneratorExponentsï¿¼
+
+constant Factorizationï¿¼
+
+constant IsPerfectGroupï¿¼
+
+constant IsomorphismFpGroupByChiefSeriesï¿¼
+
+constant ConjugacyClassesï¿¼
+
+constant IsInfiniteAbelianizationGroupï¿¼
+
+constant IsGroupï¿¼definitionï¿¼
+
+constant PrimePowerComponentï¿¼
+
+constant Omegaï¿¼
+
+constant ComputedIsPSolvablesï¿¼
+
+constant PClassPGroupï¿¼
+
+constant ElementTestFunctionï¿¼
+
+constant IsNormalInParentï¿¼
+
+constant DimensionsLoewyFactorsï¿¼
+
+constant GroupWithGenerators
-- 
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