| Back: | ⟨a, b | abbabaaab=ba⟩ |
|---|
Solved by morph:2/0,3/1,3/1,5/1. (See Morphocompletion.)
Checking up to 20 rules for overlaps.
Rewriting system is not complete: arenaTotalLimit
| # | Rule |
|---|---|
| 1. | abbabaaab ⇒ ba |
| 2. | abbabaaba ⇒ bababaaab |
| 3. | bababaaabbbabaaab ⇒ abbabaabba |
| 4. | abbabaaaabbabaabba ⇒ baababaaabbbabaaab |
| 5. | bababaaabbbabaaba ⇒ abbabaabbababaaab |
| 6. | baababaaabbbabaaabbaaab ⇒ abbabaaaabbababa |
| 7. | abbabaaaabbabaaaabbababa ⇒ baaababaaabbbabaaabbaaab |
| 8. | baababaaabbbabaaabbaaba ⇒ abbabaaaabbababababaaab |
| 9. | bababaaabbaaabbbabaaabbaaab ⇒ abbaabbabaaaabbababa |
| 10. | baababaaabbbabaaabbbabaaab ⇒ abbabaaaabbabaabbba |
| ... |
Collecting factors up to length 4 / frequency 3:
| [2/0] | ba | 66 | lf:55,lp:6,ls:5,rf:46,rp:4,rs:5,re:1,lsrp:3,lprs:4 |
|---|---|---|---|
| [2/1] | ab | 63 | lf:54,lp:4,ls:5,rf:47,rp:6,rs:5,lsrp:4,lprs:3 |
| [2/2] | aa | 48 | lf:48,rf:35 |
| [3/0] | aba | 34 | lf:30,ls:4,rf:25,rs:2 |
| [3/1] | aab | 31 | lf:26,ls:5,rf:18,rs:5 |
| [3/2] | baa | 29 | lf:26,lp:3,rf:18,rp:2 |
Considering [length 2 / frequency 0] ba=c.
Checking up to 20 rules for overlaps.
Rewriting system is not complete: roundsLimit
| # | Rule |
|---|---|
| 1. | ba ⇒ c |
| 2. | abccac ⇒ cccaab |
| 3. | cbccaac ⇒ bca |
| 4. | abccaac ⇒ ca |
| 5. | bcccaac ⇒ cbccaca |
| 6. | cbccacccaac ⇒ bcccaca |
| 7. | bcccacccaac ⇒ cbccacccaca |
| 8. | cbccacccacccaac ⇒ bcccacccaca |
| 9. | cbccaab ⇒ bc |
| 10. | abccaab ⇒ c |
| 11. | bcccaab ⇒ cbccac |
| 12. | cbccacccaab ⇒ bcccac |
| 13. | bcccacccaab ⇒ cbccacccac |
| 14. | cbccacccacccaab ⇒ bcccacccac |
| 15. | cccaabbccaac ⇒ abccabca |
| 16. | cccaabbccacccaac ⇒ abccabcccaca |
| 17. | cccaabbccaab ⇒ abccabc |
| 18. | cccaabbccacccaab ⇒ abccabcccac |
| 19. | abccaaabccabc ⇒ caccaabbccaab |
| 20. | bcaccaabbccaab ⇒ cbccaaabccabc |
| ... |
Collecting factors up to length 5 / frequency 3:
| [2/0] | cc | 57 | lf:53,lp:4,rf:34,rp:1,a:2 |
|---|---|---|---|
| [2/1] | ca | 36 | lf:36,rf:32,rp:2,rs:8,re:1,a:2 |
| [2/2] | ab | 33 | lf:20,lp:4,ls:9,rf:13,rp:4,rs:2,lsrp:2,lprs:2,a:2 |
| [3/0] | cca | 35 | lf:35,rf:23,a:2 |
| [3/1] | bcc | 24 | lf:20,lp:4,rf:17,rp:4,a:2 |
| [3/2] | aab | 24 | lf:15,ls:9,rf:4,rs:2,a:2 |
| [4/0] | caab | 23 | lf:14,ls:9,rf:3,rs:2,a:2 |
| [4/1] | ccaa | 23 | lf:23,rf:4,a:2 |
| [4/2] | ccca | 22 | lf:18,lp:4,rf:11,rp:1,a:5 |
Considering [length 3 / frequency 1] bcc=d.
Checking up to 20 rules for overlaps.
Rewriting system is not complete: roundsLimit
| # | Rule |
|---|---|
| 1. | dcaad ⇒ cdaccc |
| 2. | cdaad ⇒ dc |
| 3. | dcaac ⇒ cdaca |
| 4. | adaccc ⇒ cccaad |
| 5. | adaca ⇒ cccaac |
| 6. | adaad ⇒ ccc |
| 7. | cdacccaad ⇒ dcaccc |
| 8. | adaac ⇒ ca |
| 9. | cdacccaac ⇒ dcaca |
| 10. | cdaacdaac ⇒ da |
| 11. | dcaab ⇒ cdac |
| 12. | dccaab ⇒ cdaacdac |
| 13. | cccaab ⇒ adac |
| 14. | adaab ⇒ c |
| 15. | cdaacdaab ⇒ d |
| 16. | bc ⇒ cdaab |
| 17. | cdaabdc ⇒ ddaad |
| 18. | ba ⇒ c |
| 19. | cdaabdaad ⇒ bdc |
| ... |
Collecting factors up to length 4 / frequency 3:
| [2/0] | ad | 20 | lf:10,lp:5,ls:5,rf:3,rp:1,rs:2,lprs:1,a:3 |
|---|---|---|---|
| [2/1] | aa | 18 | lf:18,rf:5,a:3 |
| [2/2] | cd | 16 | lf:9,lp:7,rf:6,rp:5,a:4 |
| [3/0] | cda | 16 | lf:9,lp:7,rf:6,rp:5,a:4 |
| [3/1] | aab | 12 | lf:7,ls:5,rf:1,rs:1,a:3 |
| [3/2] | daa | 11 | lf:11,rf:3,a:3 |
Considering [length 3 / frequency 1] aab=e.
Checking up to 20 rules for overlaps.
Rewriting system is not complete: roundsLimit
| # | Rule |
|---|---|
| 1. | cded ⇒ ddec |
| 2. | cdec ⇒ d |
| 3. | dcedece ⇒ cdc |
| 4. | eccedece ⇒ c |
| 5. | cccedece ⇒ eccedecc |
| 6. | cdeeccedecc ⇒ dccedece |
| 7. | ad ⇒ eccedec |
| 8. | ac ⇒ ecce |
| 9. | aecd ⇒ eeccecedecedecec |
| 10. | aeccd ⇒ eeccecedecedec |
| 11. | aecce ⇒ ea |
| 12. | aeccc ⇒ eeccecedece |
| 13. | aab ⇒ e |
| 14. | bd ⇒ ddecec |
| 15. | be ⇒ cab |
| 16. | bc ⇒ cde |
| 17. | ba ⇒ c |
| ... |
Collecting factors up to length 7 / frequency 2:
| [2/0] | ec | 13 | lf:11,lp:1,ls:1,rf:21,rp:3,rs:5,a:2 |
|---|---|---|---|
| [2/1] | cc | 12 | lf:9,lp:1,ls:2,rf:8,rs:1,lprs:1,a:11 |
| [3/0] | aec | 8 | lf:4,lp:4,a:16 |
| [3/1] | ecc | 8 | lf:6,lp:1,ls:1,rf:7,rp:3,rs:1,a:11 |
| [4/0] | aecc | 6 | lf:3,lp:3,a:16 |
| [4/1] | dece | 6 | lf:3,ls:3,rf:6,rs:2,a:10 |
| [5/0] | edece | 6 | lf:3,ls:3,rf:5,rs:2,a:15 |
| [5/1] | cedec | 4 | lf:4,rf:8,rs:2,a:13 |
| [6/0] | cedece | 6 | lf:3,ls:3,rf:5,rs:2,a:15 |
| [6/1] | ccedec | 3 | lf:3,rf:3,rs:1,a:13 |
Considering [length 5 / frequency 1] cedec=f.
Rewriting system is complete. See ⟨a, b | abbabaaab=ba⟩.