45.23/11.42 YES 45.23/11.42 property Termination 45.23/11.42 has value True 45.23/11.42 for SRS ( [a, c, a] -> [c, b, b], [a, a, b] -> [b, c, c], [a, c, a] -> [a, b, b], [c, a, a] ->= [a, c, c], [c, a, a] ->= [b, b, b], [c, b, c] ->= [a, c, a]) 45.23/11.42 reason 45.23/11.42 remap for 6 rules 45.23/11.42 property Termination 45.23/11.42 has value True 45.23/11.42 for SRS ( [0, 1, 0] -> [1, 2, 2], [0, 0, 2] -> [2, 1, 1], [0, 1, 0] -> [0, 2, 2], [1, 0, 0] ->= [0, 1, 1], [1, 0, 0] ->= [2, 2, 2], [1, 2, 1] ->= [0, 1, 0]) 45.23/11.42 reason 45.23/11.42 Matrix { monotone = Strict, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 45.23/11.42 interpretation 45.23/11.42 0 St / 1 1 0 1 \ 45.23/11.42 | 0 1 1 1 | 45.23/11.42 | 0 1 1 0 | 45.23/11.42 \ 0 0 0 1 / 45.23/11.42 1 St / 1 1 1 1 \ 45.23/11.42 | 0 1 1 1 | 45.23/11.42 | 0 1 1 0 | 45.23/11.42 \ 0 0 0 1 / 45.23/11.42 2 St / 1 0 0 1 \ 45.23/11.42 | 0 1 1 1 | 45.23/11.42 | 0 1 1 0 | 45.23/11.42 \ 0 0 0 1 / 45.23/11.42 [0, 1, 0] -> [1, 2, 2] 45.23/11.42 lhs rhs ge gt 45.23/11.42 St / 1 5 4 6 \ St / 1 4 4 6 \ True False 45.23/11.42 | 0 4 4 4 | | 0 4 4 4 | 45.23/11.42 | 0 4 4 3 | | 0 4 4 3 | 45.23/11.42 \ 0 0 0 1 / \ 0 0 0 1 / 45.23/11.42 [0, 0, 2] -> [2, 1, 1] 45.23/11.42 lhs rhs ge gt 45.23/11.42 St / 1 3 3 6 \ St / 1 3 3 4 \ True True 45.23/11.42 | 0 4 4 4 | | 0 4 4 4 | 45.23/11.42 | 0 4 4 3 | | 0 4 4 3 | 45.23/11.42 \ 0 0 0 1 / \ 0 0 0 1 / 45.23/11.42 [0, 1, 0] -> [0, 2, 2] 45.23/11.42 lhs rhs ge gt 45.23/11.42 St / 1 5 4 6 \ St / 1 2 2 5 \ True True 45.23/11.42 | 0 4 4 4 | | 0 4 4 4 | 45.23/11.42 | 0 4 4 3 | | 0 4 4 3 | 45.23/11.42 \ 0 0 0 1 / \ 0 0 0 1 / 45.23/11.42 [1, 0, 0] ->= [0, 1, 1] 45.23/11.42 lhs rhs ge gt 45.23/11.42 St / 1 6 5 7 \ St / 1 5 5 6 \ True True 45.23/11.42 | 0 4 4 4 | | 0 4 4 4 | 45.23/11.42 | 0 4 4 3 | | 0 4 4 3 | 45.23/11.42 \ 0 0 0 1 / \ 0 0 0 1 / 45.23/11.42 [1, 0, 0] ->= [2, 2, 2] 45.23/11.42 lhs rhs ge gt 45.23/11.42 St / 1 6 5 7 \ St / 1 0 0 3 \ True True 45.23/11.42 | 0 4 4 4 | | 0 4 4 4 | 45.23/11.42 | 0 4 4 3 | | 0 4 4 3 | 45.23/11.42 \ 0 0 0 1 / \ 0 0 0 1 / 45.23/11.42 [1, 2, 1] ->= [0, 1, 0] 45.23/11.42 lhs rhs ge gt 45.23/11.42 St / 1 5 5 6 \ St / 1 5 4 6 \ True False 45.23/11.42 | 0 4 4 4 | | 0 4 4 4 | 45.23/11.42 | 0 4 4 3 | | 0 4 4 3 | 45.23/11.42 \ 0 0 0 1 / \ 0 0 0 1 / 45.23/11.42 property Termination 45.23/11.42 has value True 45.23/11.42 for SRS ( [0, 1, 0] -> [1, 2, 2], [1, 2, 1] ->= [0, 1, 0]) 45.23/11.42 reason 45.23/11.42 weights 45.23/11.43 Map [(0, 1/1), (1, 3/1)] 45.23/11.43 45.23/11.43 property Termination 45.23/11.43 has value True 45.23/11.43 for SRS ( ) 45.23/11.43 reason 45.23/11.43 has no strict rules 45.23/11.43 45.23/11.43 ************************************************** 45.23/11.43 summary 45.23/11.43 ************************************************** 45.23/11.43 SRS with 6 rules on 3 letters Remap { tracing = False} 45.23/11.43 SRS with 6 rules on 3 letters Matrix { monotone = Strict, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 45.23/11.43 SRS with 2 rules on 3 letters weights 45.23/11.43 SRS with 0 rules on 0 letters has no strict rules 45.23/11.43 45.23/11.43 ************************************************** 45.23/11.43 (6, 3)\Matrix{\Natural}{4}(2, 3)\Weight(0, 0)[] 45.23/11.43 ************************************************** 45.23/11.44 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))))))} 45.23/11.44 in Apply (Worker Remap) method 45.33/11.51 EOF