| Back: | ⟨a, b | abaabaaaab=a⟩ |
|---|
Solved by morph:3/1,4/0. (See Morphocompletion.)
Checking up to 20 rules for overlaps.
Rewriting system is not complete: rulesLimit
| # | Rule |
|---|---|
| 1. | aaaaabb ⇒ abaabaa |
| 2. | aaabaaaab ⇒ abaabaaaa |
| 3. | abaabaaaab ⇒ a |
| 4. | aaaaababbaab ⇒ abaabaabaaba |
| 5. | aaaaababaaaab ⇒ aaaaabaaabbaa |
| 6. | abaabaabaabaaaa ⇒ aaaaab |
| 7. | aaaaababbbaabaaaa ⇒ aaaaabab |
| 8. | abaabaabaababaabaa ⇒ aaaaababb |
| ... |
Collecting factors up to length 7 / frequency 4:
| [2/0] | aa | 52 | lf:44,lp:5,ls:3,rf:28,rp:4,rs:3,lprp:2,lsrp:3,lprs:3 |
|---|---|---|---|
| [2/1] | ab | 32 | lf:25,lp:3,ls:4,rf:15,rp:3,rs:2,lsrp:2,lprs:1 |
| [2/2] | ba | 20 | lf:20,rf:12,rs:1 |
| [2/3] | bb | 5 | lf:4,ls:1,rf:2,rs:1,a:5 |
| [3/0] | aaa | 30 | lf:23,lp:5,ls:2,rf:15,rp:4,rs:1,lprp:2,lsrp:2,lprs:1 |
| [3/1] | aab | 22 | lf:18,ls:4,rf:10,rs:1 |
| [3/2] | aba | 21 | lf:18,lp:3,rf:11,rp:3,rs:1 |
| [3/3] | baa | 17 | lf:16,ls:1,rf:9,rs:2 |
| [4/0] | aaaa | 19 | lf:13,lp:4,ls:2,rf:9,rp:4,rs:1,lprp:2,lsrp:2 |
| [4/1] | abaa | 18 | lf:14,lp:3,ls:1,rf:8,rp:3,rs:1 |
| [4/2] | aaba | 13 | lf:13,rf:8,rs:1 |
| [4/3] | aaab | 12 | lf:8,lp:1,ls:3,rf:5,rs:1 |
| [5/0] | abaab | 11 | lf:8,lp:3,rf:5,rp:3 |
| [5/1] | aaaab | 10 | lf:7,ls:3,rf:4,rs:1 |
| [5/2] | aabaa | 10 | lf:9,ls:1,rf:5,rs:1 |
| [5/3] | baaba | 9 | lf:9,rf:5,rs:1 |
| [6/0] | abaaba | 11 | lf:8,lp:3,rf:5,rp:3,rs:1 |
| [6/1] | baabaa | 9 | lf:8,ls:1,rf:4,rs:1 |
| [6/2] | aaaaab | 8 | lf:4,lp:4,rf:4,rp:4,rs:1,re:1,lprp:2,a:2 |
| [6/3] | abaaaa | 7 | lf:5,ls:2,rf:1,rs:1 |
Considering [length 3 / frequency 1] aab=c.
Checking up to 20 rules for overlaps.
Rewriting system is not complete: roundsLimit
| # | Rule |
|---|---|
| 1. | ccaac ⇒ aa |
| 2. | aab ⇒ c |
| 3. | aaaac ⇒ ccccaaaa |
| 4. | aacaac ⇒ ccaaaa |
| 5. | abcaac ⇒ a |
| 6. | aaacb ⇒ abcaa |
| 7. | acaacb ⇒ a |
| 8. | aaaccb ⇒ abcccccaa |
| 9. | acaaccb ⇒ abcccaa |
| 10. | aaacab ⇒ abcccaaac |
| 11. | acaacab ⇒ abcaaac |
| 12. | aaaccab ⇒ abcccccccaaac |
| 13. | acaaccab ⇒ abcccccaaac |
| 14. | acaacacb ⇒ abcaccaa |
| 15. | abcaaaa ⇒ acaac |
| 16. | abcccaaaa ⇒ aaac |
| 17. | abcccccaaaa ⇒ acaacc |
| 18. | abcccccccaaaa ⇒ aaacc |
| 19. | abcaccccaaaa ⇒ acaacac |
| 20. | abcccaccccaaaa ⇒ aaacac |
| ... |
Collecting factors up to length 6 / frequency 7:
| [2/0] | aa | 52 | lf:39,lp:7,ls:6,rf:28,rp:4,rs:7,re:1,lsrp:3,lprs:4,a:1 |
|---|---|---|---|
| [2/1] | ac | 31 | lf:22,lp:5,ls:4,rf:16,rp:3,rs:8,lprs:2,a:2 |
| [2/2] | cc | 26 | lf:25,lp:1,rf:25,rp:2,rs:2,a:3 |
| [2/3] | ab | 24 | lf:12,lp:7,ls:5,rf:8,rp:8,lsrp:4,a:1 |
| [2/4] | ca | 21 | lf:21,rf:16,a:2 |
| [2/5] | cb | 10 | lf:5,ls:5,a:8 |
| [2/6] | bc | 7 | lf:7,rf:8,a:2 |
| [3/0] | aaa | 29 | lf:18,lp:5,ls:6,rf:11,rp:3,rs:2,lsrp:3,lprs:1,a:4 |
| [3/1] | aac | 19 | lf:14,lp:1,ls:4,rf:10,rs:6,a:2 |
| [3/2] | abc | 14 | lf:7,lp:7,rf:8,rp:8,a:2 |
| [3/3] | aca | 14 | lf:9,lp:5,rf:5,rp:3,a:4 |
| [3/4] | caa | 14 | lf:14,rf:13,rs:4,a:2 |
| [3/5] | ccc | 14 | lf:14,rf:15,rp:1,a:6 |
| [3/6] | cca | 10 | lf:9,lp:1,rf:8,rp:1,a:3 |
| [4/0] | aaaa | 14 | lf:7,lp:1,ls:6,rf:2,rs:2,lprs:1,a:4 |
| [4/1] | acaa | 11 | lf:6,lp:5,rf:3,rp:3,a:4 |
| [4/2] | caac | 11 | lf:8,ls:3,rf:3,rs:1,a:2 |
| [4/3] | aaac | 10 | lf:5,lp:4,ls:1,rf:7,rp:3,rs:5,re:1,lprs:2,a:6 |
| [4/4] | abcc | 8 | lf:4,lp:4,rf:5,rp:5,a:6 |
| [4/5] | cccc | 8 | lf:8,rf:9,rp:1,a:7 |
| [4/6] | ccaa | 7 | lf:6,lp:1,rf:8,rp:1,rs:3,a:3 |
| [5/0] | caaaa | 12 | lf:6,ls:6,rf:2,rs:2,a:4 |
| [5/1] | acaac | 12 | lf:6,lp:5,ls:1,rf:3,rp:3,rs:1,re:1,a:4 |
| [5/2] | abccc | 8 | lf:4,lp:4,rf:5,rp:5,a:6 |
| [5/3] | ccaaa | 5 | lf:5,rf:5,rp:1,a:5 |
| [5/4] | cccaa | 5 | lf:5,rf:6,rs:2,a:6 |
| [5/5] | aacab | 4 | lf:2,ls:2,a:9 |
| [5/6] | abcaa | 4 | lf:2,lp:2,rf:2,rp:2,rs:1,re:1,a:2 |
Considering [length 4 / frequency 0] aaaa=d.
Rewriting system is complete. See ⟨a, b | abaabaaaab=a⟩.