| Back: | ⟨a, b | aabbaaab=ba⟩ |
|---|
Solved by morph:2/2,2/1. (See Morphocompletion.)
Checking up to 20 rules for overlaps.
Rewriting system is not complete: arenaTotalLimit
| # | Rule |
|---|---|
| 1. | babaaab ⇒ aabbaba |
| 2. | aabbaaab ⇒ ba |
| 3. | aabbabaabaaab ⇒ babaaaaabbaba |
| 4. | aabbaaaaabbaba ⇒ baabaaab |
| 5. | baabaaababbaaab ⇒ aabbaaaaabbabba |
| 6. | aabbaaaaabaabbaba ⇒ baabaaabaab |
| 7. | aabbabababaabaaab ⇒ babababaaaaabbaba |
| 8. | aabbababaaaaabbaba ⇒ bababaabaaab |
| 9. | baabaaabaababbaaab ⇒ aabbaaaaabaabbabba |
| 10. | aabbaaaaabaabaabbaba ⇒ baabaaabaabaab |
| 11. | aabbababaaaaabaabbaba ⇒ bababaabaaabaab |
| ... |
Collecting factors up to length 7 / frequency 4:
| [2/0] | aa | 61 | lf:53,lp:8,rf:39,rp:3 |
|---|---|---|---|
| [2/1] | ab | 52 | lf:46,ls:6,rf:35,rs:5 |
| [2/2] | ba | 51 | lf:43,lp:3,ls:5,rf:38,rp:8,rs:6,re:1,lsrp:5,lprs:3 |
| [2/3] | bb | 15 | lf:15,rf:9 |
| [3/0] | aab | 44 | lf:30,lp:8,ls:6,rf:22,rp:3,rs:5,lsrp:3,lprs:5 |
| [3/1] | aba | 30 | lf:25,ls:5,rf:21,rs:3,a:1 |
| [3/2] | baa | 24 | lf:22,lp:2,rf:19,rp:3 |
| [3/3] | aaa | 23 | lf:23,rf:17 |
| [4/0] | aabb | 21 | lf:13,lp:8,rf:7,rp:3 |
| [4/1] | baba | 20 | lf:14,lp:1,ls:5,rf:11,rp:4,rs:3,lsrp:2,lprs:1,a:1 |
| [4/2] | aaab | 19 | lf:13,ls:6,rf:9,rs:2 |
| [4/3] | abba | 15 | lf:15,rf:9,rs:2 |
| [5/0] | aabba | 21 | lf:13,lp:8,rf:7,rp:3 |
| [5/1] | baaab | 14 | lf:8,ls:6,rf:5,rs:2 |
| [5/2] | bbaba | 14 | lf:9,ls:5,rf:3,rs:3,a:1 |
| [5/3] | abbab | 9 | lf:9,rf:5,a:1 |
| [6/0] | abbaba | 14 | lf:9,ls:5,rf:3,rs:3,a:1 |
| [6/1] | aabbab | 13 | lf:9,lp:4,rf:5,rp:1,a:1 |
| [6/2] | abaaab | 8 | lf:5,ls:3,rf:5,rs:2,a:1 |
| [6/3] | aabbaa | 8 | lf:4,lp:4,rf:2,rp:2 |
Considering [length 2 / frequency 2] ba=c.
Checking up to 20 rules for overlaps.
Rewriting system is not complete: roundsLimit
| # | Rule |
|---|---|
| 1. | ba ⇒ c |
| 2. | cabcca ⇒ bccaac |
| 3. | cabcccca ⇒ bccccaac |
| 4. | aabcc ⇒ ccaab |
| 5. | cabcaac ⇒ bca |
| 6. | cabcccaac ⇒ bccca |
| 7. | cabcccccaac ⇒ bccccca |
| 8. | aacabcc ⇒ ccaacab |
| 9. | bccaab ⇒ cabcc |
| 10. | bccccaab ⇒ cabcccc |
| 11. | aabcaac ⇒ ca |
| 12. | aabcbca ⇒ ccaacbcaac |
| 13. | aacacabcc ⇒ ccaacacab |
| 14. | bccaacab ⇒ cacabcc |
| 15. | cabcaab ⇒ bc |
| 16. | cabcccaab ⇒ bccc |
| 17. | cabcccccaab ⇒ bccccc |
| 18. | bccaacbcaac ⇒ cabcbca |
| 19. | aabcaab ⇒ c |
| 20. | ccaacbcaab ⇒ aabcbc |
| ... |
Collecting factors up to length 6 / frequency 7:
| [2/0] | ca | 41 | lf:30,lp:8,ls:3,rf:20,rp:5,rs:5,re:1,lprs:3,a:2 |
|---|---|---|---|
| [2/1] | ab | 30 | lf:22,ls:8,rf:8,rs:3,a:2 |
| [2/2] | cc | 30 | lf:26,lp:1,ls:3,rf:25,rp:4,rs:5,lsrp:3,a:5 |
| [2/3] | aa | 27 | lf:21,lp:6,rf:8,rp:1,a:2 |
| [2/4] | bc | 25 | lf:21,lp:4,rf:16,rp:8,rs:2,re:1,a:2 |
| [2/5] | ac | 16 | lf:11,ls:5,rf:8,rs:3,a:4 |
| [2/6] | cb | 3 | lf:3,rf:3,a:10 |
| [3/0] | aab | 22 | lf:11,lp:4,ls:7,rf:2,rp:1,rs:1,lsrp:1,lprs:1,a:2 |
| [3/1] | cab | 20 | lf:11,lp:8,ls:1,rf:6,rp:3,rs:2,a:3 |
| [3/2] | bcc | 20 | lf:13,lp:4,ls:3,rf:9,rp:6,rs:2,lprs:2,a:5 |
| [3/3] | aac | 17 | lf:10,lp:2,ls:5,rf:6,rs:3,a:4 |
| [3/4] | caa | 15 | lf:15,rf:7,a:2 |
| [3/5] | abc | 14 | lf:14,rf:5,a:2 |
| [3/6] | cca | 14 | lf:11,lp:1,ls:2,rf:8,rp:4,rs:2,a:5 |
| [4/0] | cabc | 18 | lf:10,lp:8,rf:4,rp:3,a:3 |
| [4/1] | caab | 14 | lf:7,ls:7,rf:1,rs:1,a:2 |
| [4/2] | caac | 13 | lf:8,ls:5,rf:6,rs:3,a:4 |
| [4/3] | abcc | 12 | lf:9,ls:3,rf:3,rs:2,a:5 |
| [4/4] | ccaa | 10 | lf:9,lp:1,rf:6,rp:4,a:5 |
| [4/5] | aabc | 8 | lf:4,lp:4,rf:1,rp:1,a:2 |
| [4/6] | bcca | 8 | lf:4,lp:3,ls:1,rf:1,rp:1,lsrp:1,a:7 |
| [5/0] | cabcc | 16 | lf:8,lp:6,ls:2,rf:3,rp:2,rs:2,re:1,a:7 |
| [5/1] | ccaab | 8 | lf:4,ls:4,rf:1,rp:1,rs:1,re:1,a:5 |
| [5/2] | ccaac | 8 | lf:5,lp:1,ls:2,rf:5,rp:3,rs:2,a:8 |
| [5/3] | bcaab | 6 | lf:3,ls:3,a:2 |
| [5/4] | bcaac | 6 | lf:3,ls:3,rf:1,rs:1,a:4 |
| [5/5] | bccaa | 6 | lf:3,lp:3,rf:1,rp:1,a:7 |
| [5/6] | abccc | 5 | lf:5,rf:1,a:9 |
Considering [length 2 / frequency 1] ab=d.
Rewriting system is complete. See ⟨a, b | aabbaaab=ba⟩.