35.43/9.01 YES 35.43/9.01 property Termination 35.43/9.01 has value True 35.43/9.01 for SRS ( [c, c, a] -> [c, a, b], [b, b, b] -> [a, a, a], [b, b, a] -> [c, c, a], [c, a, a] ->= [a, a, a], [b, a, a] ->= [c, c, c], [b, c, b] ->= [c, b, a]) 35.43/9.01 reason 35.43/9.01 remap for 6 rules 35.43/9.01 property Termination 35.43/9.01 has value True 35.43/9.01 for SRS ( [0, 0, 1] -> [0, 1, 2], [2, 2, 2] -> [1, 1, 1], [2, 2, 1] -> [0, 0, 1], [0, 1, 1] ->= [1, 1, 1], [2, 1, 1] ->= [0, 0, 0], [2, 0, 2] ->= [0, 2, 1]) 35.43/9.01 reason 35.43/9.01 Matrix { monotone = Strict, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 35.43/9.01 interpretation 35.43/9.01 0 St / 1 0 1 0 \ 35.43/9.01 | 0 1 1 1 | 35.43/9.01 | 0 1 1 0 | 35.43/9.01 \ 0 0 0 1 / 35.43/9.01 1 St / 1 0 0 0 \ 35.43/9.01 | 0 1 1 1 | 35.43/9.01 | 0 1 1 0 | 35.43/9.01 \ 0 0 0 1 / 35.43/9.01 2 St / 1 1 1 0 \ 35.43/9.01 | 0 1 1 1 | 35.43/9.01 | 0 1 1 0 | 35.43/9.01 \ 0 0 0 1 / 35.43/9.01 [0, 0, 1] -> [0, 1, 2] 35.43/9.01 lhs rhs ge gt 35.43/9.01 St / 1 3 3 1 \ St / 1 3 3 1 \ True False 35.43/9.01 | 0 4 4 4 | | 0 4 4 4 | 35.43/9.01 | 0 4 4 3 | | 0 4 4 3 | 35.43/9.01 \ 0 0 0 1 / \ 0 0 0 1 / 35.43/9.01 [2, 2, 2] -> [1, 1, 1] 35.43/9.01 lhs rhs ge gt 35.43/9.01 St / 1 7 7 4 \ St / 1 0 0 0 \ True True 35.43/9.01 | 0 4 4 4 | | 0 4 4 4 | 35.43/9.01 | 0 4 4 3 | | 0 4 4 3 | 35.43/9.01 \ 0 0 0 1 / \ 0 0 0 1 / 35.43/9.01 [2, 2, 1] -> [0, 0, 1] 35.43/9.01 lhs rhs ge gt 35.43/9.01 St / 1 6 6 4 \ St / 1 3 3 1 \ True True 35.43/9.01 | 0 4 4 4 | | 0 4 4 4 | 35.43/9.01 | 0 4 4 3 | | 0 4 4 3 | 35.43/9.01 \ 0 0 0 1 / \ 0 0 0 1 / 35.43/9.01 [0, 1, 1] ->= [1, 1, 1] 35.43/9.01 lhs rhs ge gt 35.43/9.01 St / 1 2 2 1 \ St / 1 0 0 0 \ True True 35.43/9.01 | 0 4 4 4 | | 0 4 4 4 | 35.43/9.01 | 0 4 4 3 | | 0 4 4 3 | 35.43/9.01 \ 0 0 0 1 / \ 0 0 0 1 / 35.43/9.01 [2, 1, 1] ->= [0, 0, 0] 35.43/9.01 lhs rhs ge gt 35.43/9.01 St / 1 4 4 3 \ St / 1 3 4 1 \ True True 35.43/9.01 | 0 4 4 4 | | 0 4 4 4 | 35.43/9.01 | 0 4 4 3 | | 0 4 4 3 | 35.43/9.01 \ 0 0 0 1 / \ 0 0 0 1 / 35.43/9.01 [2, 0, 2] ->= [0, 2, 1] 35.43/9.02 lhs rhs ge gt 35.43/9.02 St / 1 6 6 3 \ St / 1 4 4 2 \ True True 35.43/9.02 | 0 4 4 4 | | 0 4 4 4 | 35.43/9.02 | 0 4 4 3 | | 0 4 4 3 | 35.43/9.02 \ 0 0 0 1 / \ 0 0 0 1 / 35.43/9.02 property Termination 35.43/9.02 has value True 35.43/9.02 for SRS ( [0, 0, 1] -> [0, 1, 2]) 35.43/9.02 reason 35.43/9.02 weights 35.43/9.02 Map [(0, 1/1)] 35.43/9.02 35.43/9.02 property Termination 35.43/9.02 has value True 35.43/9.02 for SRS ( ) 35.43/9.02 reason 35.43/9.02 has no strict rules 35.43/9.02 35.43/9.02 ************************************************** 35.43/9.02 summary 35.43/9.02 ************************************************** 35.43/9.02 SRS with 6 rules on 3 letters Remap { tracing = False} 35.43/9.02 SRS with 6 rules on 3 letters Matrix { monotone = Strict, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 35.43/9.02 SRS with 1 rules on 3 letters weights 35.43/9.02 SRS with 0 rules on 0 letters has no strict rules 35.43/9.02 35.43/9.02 ************************************************** 35.43/9.02 (6, 3)\Matrix{\Natural}{4}(1, 3)\Weight(0, 0)[] 35.43/9.02 ************************************************** 35.43/9.03 let { done = Worker No_Strict_Rules;mo = Pre (Or_Else Count (IfSizeLeq 10000 GLPK Fail));wop = Or_Else (Worker (Weight { modus = mo})) Pass;weighted = \ m -> And_Then m wop;when_small = \ m -> And_Then (Worker (SizeAtmost 100)) m;when_medium = \ m -> And_Then (Worker (SizeAtmost 10000)) m;tiling = \ m w -> weighted (And_Then (Worker (Tiling { method = m,width = w})) (Worker Remap));matrix = \ mo dom dim bits -> weighted (Worker (Matrix { monotone = mo,domain = dom,dim = dim,bits = bits}));kbo = \ b -> weighted (Worker (KBO { bits = b,solver = Minisatapi}));method = Apply wop (Tree_Search_Preemptive 0 done ([ ] <> ([ when_medium (kbo 1), when_medium (And_Then (Worker Mirror) (kbo 1))] <> ((for [ 3, 4] (\ d -> when_small (matrix Strict Natural d 3))) <> (for [ 2, 3, 5, 8] (\ w -> tiling Overlap w))))))} 35.43/9.03 in Apply (Worker Remap) method 35.76/9.10 EOF