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PropertyT.jl/test/1703.09680.jl

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2019-02-21 16:31:38 +01:00
@testset "1703.09680 Examples" begin
@testset "SL(2,Z)" begin
N = 2
G = MatrixSpace(Nemo.ZZ, N,N)
S = Groups.gens(G)
S = [S; inv.(S)]
rm("SL($N,Z)", recursive=true, force=true)
sett = PropertyT.Settings("SL($N,Z)", G, S, solver(20000, accel=20); upper_bound=0.1)
@test PropertyT.check_property_T(sett) == false
end
@testset "SL(3,Z)" begin
N = 3
G = MatrixSpace(Nemo.ZZ, N,N)
S = Groups.gens(G)
S = [S; inv.(S)]
rm("SL($N,Z)", recursive=true, force=true)
sett = PropertyT.Settings("SL($N,Z)", G, S, solver(1000, accel=20); upper_bound=0.1)
@test PropertyT.check_property_T(sett) == true
end
@testset "SAut(F₂)" begin
N = 2
G = SAut(FreeGroup(N))
S = Groups.gens(G)
S = [S; inv.(S)]
rm("SAut(F$N)", recursive=true, force=true)
sett = PropertyT.Settings("SAut(F$N)", G, S, solver(20000);
upper_bound=0.15, warmstart=false)
@test PropertyT.check_property_T(sett) == false
end
end