8.31/2.11 YES 8.31/2.11 property Termination 8.31/2.11 has value True 8.31/2.11 for SRS ( [b, b, b, b] -> [a, a, b, b], [a, b, a, a] -> [b, a, a, b]) 8.31/2.11 reason 8.31/2.11 remap for 2 rules 8.31/2.11 property Termination 8.31/2.11 has value True 8.31/2.11 for SRS ( [0, 0, 0, 0] -> [1, 1, 0, 0], [1, 0, 1, 1] -> [0, 1, 1, 0]) 8.31/2.11 reason 8.31/2.11 DP transform 8.31/2.11 property Termination 8.31/2.11 has value True 8.31/2.11 for SRS ( [0, 0, 0, 0] ->= [1, 1, 0, 0], [1, 0, 1, 1] ->= [0, 1, 1, 0], [0#, 0, 0, 0] |-> [1#, 1, 0, 0], [0#, 0, 0, 0] |-> [1#, 0, 0], [1#, 0, 1, 1] |-> [0#, 1, 1, 0], [1#, 0, 1, 1] |-> [1#, 1, 0], [1#, 0, 1, 1] |-> [1#, 0], [1#, 0, 1, 1] |-> [0#]) 8.31/2.11 reason 8.31/2.11 remap for 8 rules 8.31/2.11 property Termination 8.31/2.11 has value True 8.31/2.11 for SRS ( [0, 0, 0, 0] ->= [1, 1, 0, 0], [1, 0, 1, 1] ->= [0, 1, 1, 0], [2, 0, 0, 0] |-> [3, 1, 0, 0], [2, 0, 0, 0] |-> [3, 0, 0], [3, 0, 1, 1] |-> [2, 1, 1, 0], [3, 0, 1, 1] |-> [3, 1, 0], [3, 0, 1, 1] |-> [3, 0], [3, 0, 1, 1] |-> [2]) 8.31/2.11 reason 8.31/2.11 weights 8.31/2.11 Map [(0, 1/7), (1, 1/7)] 8.31/2.11 8.31/2.11 property Termination 8.31/2.11 has value True 8.31/2.11 for SRS ( [0, 0, 0, 0] ->= [1, 1, 0, 0], [1, 0, 1, 1] ->= [0, 1, 1, 0], [2, 0, 0, 0] |-> [3, 1, 0, 0], [3, 0, 1, 1] |-> [2, 1, 1, 0]) 8.31/2.11 reason 8.31/2.11 EDG has 1 SCCs 8.31/2.11 property Termination 8.31/2.11 has value True 8.31/2.12 for SRS ( [2, 0, 0, 0] |-> [3, 1, 0, 0], [3, 0, 1, 1] |-> [2, 1, 1, 0], [0, 0, 0, 0] ->= [1, 1, 0, 0], [1, 0, 1, 1] ->= [0, 1, 1, 0]) 8.31/2.12 reason 8.31/2.12 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 8.37/2.13 interpretation 8.37/2.13 0 / 9A 9A 9A \ 8.37/2.13 | 6A 6A 9A | 8.37/2.13 \ 6A 6A 6A / 8.37/2.13 1 / 6A 9A 9A \ 8.37/2.13 | 6A 9A 9A | 8.37/2.13 \ 6A 9A 9A / 8.37/2.13 2 / 1A 1A 1A \ 8.37/2.13 | 1A 1A 1A | 8.37/2.13 \ 1A 1A 1A / 8.37/2.13 3 / 1A 1A 1A \ 8.37/2.13 | 1A 1A 1A | 8.37/2.13 \ 1A 1A 1A / 8.37/2.13 [2, 0, 0, 0] |-> [3, 1, 0, 0] 8.37/2.13 lhs rhs ge gt 8.37/2.13 / 28A 28A 28A \ / 25A 25A 25A \ True True 8.37/2.13 | 28A 28A 28A | | 25A 25A 25A | 8.37/2.13 \ 28A 28A 28A / \ 25A 25A 25A / 8.37/2.13 [3, 0, 1, 1] |-> [2, 1, 1, 0] 8.37/2.13 lhs rhs ge gt 8.37/2.13 / 25A 28A 28A \ / 25A 25A 28A \ True False 8.37/2.13 | 25A 28A 28A | | 25A 25A 28A | 8.37/2.13 \ 25A 28A 28A / \ 25A 25A 28A / 8.37/2.13 [0, 0, 0, 0] ->= [1, 1, 0, 0] 8.37/2.13 lhs rhs ge gt 8.37/2.13 / 36A 36A 36A \ / 33A 33A 33A \ True False 8.37/2.13 | 33A 33A 33A | | 33A 33A 33A | 8.37/2.13 \ 33A 33A 33A / \ 33A 33A 33A / 8.37/2.13 [1, 0, 1, 1] ->= [0, 1, 1, 0] 8.37/2.13 lhs rhs ge gt 8.37/2.13 / 33A 36A 36A \ / 33A 33A 36A \ True False 8.37/2.13 | 33A 36A 36A | | 33A 33A 36A | 8.37/2.13 \ 33A 36A 36A / \ 30A 30A 33A / 8.37/2.13 property Termination 8.37/2.13 has value True 8.37/2.13 for SRS ( [3, 0, 1, 1] |-> [2, 1, 1, 0], [0, 0, 0, 0] ->= [1, 1, 0, 0], [1, 0, 1, 1] ->= [0, 1, 1, 0]) 8.37/2.13 reason 8.37/2.13 weights 8.37/2.13 Map [(3, 1/1)] 8.37/2.13 8.37/2.13 property Termination 8.37/2.13 has value True 8.37/2.13 for SRS ( [0, 0, 0, 0] ->= [1, 1, 0, 0], [1, 0, 1, 1] ->= [0, 1, 1, 0]) 8.37/2.13 reason 8.37/2.13 EDG has 0 SCCs 8.37/2.13 8.37/2.13 ************************************************** 8.37/2.13 summary 8.37/2.13 ************************************************** 8.37/2.13 SRS with 2 rules on 2 letters Remap { tracing = False} 8.37/2.13 SRS with 2 rules on 2 letters DP transform 8.37/2.13 SRS with 8 rules on 4 letters Remap { tracing = False} 8.37/2.13 SRS with 8 rules on 4 letters weights 8.37/2.13 SRS with 4 rules on 4 letters EDG 8.37/2.13 SRS with 4 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 8.37/2.14 SRS with 3 rules on 4 letters weights 8.37/2.14 SRS with 2 rules on 2 letters EDG 8.37/2.14 8.37/2.14 ************************************************** 8.37/2.14 (2, 2)\Deepee(8, 4)\Weight(4, 4)\Matrix{\Arctic}{3}(3, 4)\Weight(2, 2)\EDG[] 8.37/2.14 ************************************************** 9.06/2.37 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;tiling = \ m w -> weighted (And_Then (Worker (Tiling { method = m,width = w})) (Worker Remap));when_small = \ m -> And_Then (Worker (SizeAtmost 100)) m;when_medium = \ m -> And_Then (Worker (SizeAtmost 10000)) m;solver = Minisatapi;qpi = \ dim bits -> weighted (when_small (Worker (QPI { tracing = True,dim = dim,bits = bits,solver = solver})));matrix = \ dom dim bits -> weighted (when_small (Worker (Matrix { monotone = Weak,domain = dom,dim = dim,bits = bits,tracing = False,solver = solver})));kbo = \ b -> weighted (when_small (Worker (KBO { bits = b,solver = solver})));mb = Worker (Matchbound { method = RFC,max_size = 100000});remove = First_Of ([ Worker (Weight { modus = mo})] <> ([ Seq [ qpi 2 4, qpi 3 4, qpi 4 4], Seq [ qpi 5 4, qpi 6 3, qpi 7 3]] <> ([ matrix Arctic 4 3, matrix Natural 4 3] <> [ kbo 1, And_Then (Worker Mirror) (kbo 1)])));remove_tile = Seq [ remove, tiling Overlap 3];dp = As_Transformer (Apply (And_Then (Worker (DP { tracing = False})) (Worker Remap)) (Apply wop (Branch (Worker (EDG { tracing = False})) remove_tile)));noh = [ Timeout 10 (Worker (Enumerate { closure = Forward})), Timeout 10 (Worker (Enumerate { closure = Backward}))];yeah = Tree_Search_Preemptive 0 done [ Worker (Weight { modus = mo}), mb, And_Then (Worker Mirror) mb, dp, And_Then (Worker Mirror) dp]} 9.06/2.37 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 9.34/2.43 EOF