8.26/2.15 YES 8.26/2.15 property Termination 8.26/2.15 has value True 8.26/2.15 for SRS ( [c, c, c] -> [a, b, c], [b, a, c] -> [b, c, b], [a, b, a] ->= [c, a, c], [b, b, c] ->= [a, b, b], [c, a, b] ->= [b, c, c], [a, b, c] ->= [b, b, b]) 8.26/2.15 reason 8.26/2.15 remap for 6 rules 8.26/2.15 property Termination 8.26/2.15 has value True 8.26/2.15 for SRS ( [0, 0, 0] -> [1, 2, 0], [2, 1, 0] -> [2, 0, 2], [1, 2, 1] ->= [0, 1, 0], [2, 2, 0] ->= [1, 2, 2], [0, 1, 2] ->= [2, 0, 0], [1, 2, 0] ->= [2, 2, 2]) 8.26/2.15 reason 8.26/2.15 Matrix { monotone = Strict, domain = Natural, bits = 3, dim = 3, solver = Minisatapi, verbose = False, tracing = False} 8.26/2.15 interpretation 8.26/2.15 0 St / 1 1 1 \ 8.26/2.15 | 1 0 0 | 8.26/2.15 \ 0 0 1 / 8.26/2.15 1 St / 1 1 2 \ 8.26/2.15 | 1 0 1 | 8.26/2.15 \ 0 0 1 / 8.26/2.15 2 St / 1 1 0 \ 8.26/2.15 | 1 0 0 | 8.26/2.15 \ 0 0 1 / 8.26/2.15 [0, 0, 0] -> [1, 2, 0] 8.26/2.15 lhs rhs ge gt 8.26/2.15 St / 3 2 4 \ St / 3 2 4 \ True False 8.26/2.15 | 2 1 2 | | 2 1 2 | 8.26/2.15 \ 0 0 1 / \ 0 0 1 / 8.26/2.15 [2, 1, 0] -> [2, 0, 2] 8.26/2.16 lhs rhs ge gt 8.26/2.16 St / 3 2 5 \ St / 3 2 1 \ True True 8.26/2.16 | 2 1 3 | | 2 1 1 | 8.26/2.16 \ 0 0 1 / \ 0 0 1 / 8.26/2.16 [1, 2, 1] ->= [0, 1, 0] 8.26/2.16 lhs rhs ge gt 8.26/2.16 St / 3 2 7 \ St / 3 2 6 \ True True 8.26/2.16 | 2 1 4 | | 2 1 3 | 8.26/2.16 \ 0 0 1 / \ 0 0 1 / 8.26/2.16 [2, 2, 0] ->= [1, 2, 2] 8.26/2.16 lhs rhs ge gt 8.26/2.16 St / 3 2 2 \ St / 3 2 2 \ True False 8.26/2.16 | 2 1 1 | | 2 1 1 | 8.26/2.16 \ 0 0 1 / \ 0 0 1 / 8.26/2.16 [0, 1, 2] ->= [2, 0, 0] 8.26/2.16 lhs rhs ge gt 8.26/2.16 St / 3 2 4 \ St / 3 2 3 \ True True 8.26/2.16 | 2 1 2 | | 2 1 2 | 8.26/2.16 \ 0 0 1 / \ 0 0 1 / 8.26/2.16 [1, 2, 0] ->= [2, 2, 2] 8.26/2.16 lhs rhs ge gt 8.26/2.16 St / 3 2 4 \ St / 3 2 0 \ True True 8.26/2.16 | 2 1 2 | | 2 1 0 | 8.26/2.16 \ 0 0 1 / \ 0 0 1 / 8.26/2.16 property Termination 8.26/2.16 has value True 8.26/2.16 for SRS ( [0, 0, 0] -> [1, 2, 0], [2, 2, 0] ->= [1, 2, 2]) 8.26/2.16 reason 8.26/2.16 weights 8.26/2.16 Map [(0, 2/1)] 8.26/2.16 8.26/2.16 property Termination 8.26/2.16 has value True 8.26/2.16 for SRS ( ) 8.26/2.16 reason 8.26/2.16 has no strict rules 8.26/2.16 8.26/2.16 ************************************************** 8.26/2.16 summary 8.26/2.16 ************************************************** 8.26/2.16 SRS with 6 rules on 3 letters Remap { tracing = False} 8.26/2.16 SRS with 6 rules on 3 letters Matrix { monotone = Strict, domain = Natural, bits = 3, dim = 3, solver = Minisatapi, verbose = False, tracing = False} 8.26/2.16 SRS with 2 rules on 3 letters weights 8.26/2.16 SRS with 0 rules on 0 letters has no strict rules 8.26/2.16 8.26/2.16 ************************************************** 8.26/2.16 (6, 3)\Matrix{\Natural}{3}(2, 3)\Weight(0, 0)[] 8.26/2.16 ************************************************** 8.26/2.16 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))))))} 8.26/2.16 in Apply (Worker Remap) method 8.52/2.20 EOF