| Back: | ⟨a, b | abbabaaab=aa⟩ |
|---|
Solved by morph:5/3,4/2. (See Morphocompletion.)
Checking up to 20 rules for overlaps.
Rewriting system is not complete: rulesLimit
| # | Rule |
|---|---|
| 1. | abbabaaab ⇒ aa |
| 2. | abbabaaaa ⇒ aababaaab |
| 3. | aaaaabbbabaaab ⇒ aaaaaba |
| 4. | aaaaabbbabaaaa ⇒ aaaaabababaaab |
| 5. | aaabaaabbbabaaab ⇒ aaabaaaba |
| 6. | aababaaabbbabaaab ⇒ aababaaaba |
| 7. | aaabaaababbbabaaab ⇒ aaabaaababa |
| 8. | aababaaababbbabaaab ⇒ aababaaababa |
| ... |
Collecting factors up to length 7 / frequency 4:
| [2/0] | aa | 48 | lf:40,lp:6,ls:2,rf:28,rp:8,rs:1,re:1,lprp:6,lsrp:2 |
|---|---|---|---|
| [2/1] | ab | 38 | lf:30,lp:2,ls:6,rf:20,rs:2,lprs:1 |
| [2/2] | ba | 24 | lf:24,rf:18,rs:5 |
| [2/3] | bb | 14 | lf:14 |
| [3/0] | aaa | 28 | lf:22,lp:4,ls:2,rf:14,rp:4,lprp:4,lsrp:1 |
| [3/1] | aab | 24 | lf:16,lp:2,ls:6,rf:13,rp:3,rs:2,lprp:2,lsrp:2 |
| [3/2] | aba | 16 | lf:16,rf:18,rs:5 |
| [3/3] | baa | 12 | lf:12,rf:6 |
| [4/0] | aaab | 22 | lf:14,lp:2,ls:6,rf:10,rp:2,rs:2,lprp:2,lsrp:2 |
| [4/1] | baaa | 12 | lf:12,rf:6 |
| [4/2] | abaa | 12 | lf:12,rf:6 |
| [4/3] | aaaa | 10 | lf:6,lp:2,ls:2,rf:4,rp:2,lprp:2,lsrp:1,a:1 |
| [5/0] | baaab | 16 | lf:10,ls:6,rf:6,rs:2 |
| [5/1] | abaaa | 12 | lf:12,rf:6 |
| [5/2] | babaa | 10 | lf:10,rf:4 |
| [5/3] | bbaba | 8 | lf:8 |
| [6/0] | abaaab | 16 | lf:10,ls:6,rf:6,rs:2 |
| [6/1] | babaaa | 10 | lf:10,rf:4 |
| [6/2] | bbabaa | 8 | lf:8 |
| [6/3] | bbbaba | 6 | lf:6,a:2 |
Considering [length 5 / frequency 3] bbaba=c.
Checking up to 20 rules for overlaps.
Rewriting system is not complete: roundsLimit
| # | Rule |
|---|---|
| 1. | ccaab ⇒ ca |
| 2. | cccacaac ⇒ caa |
| 3. | acaab ⇒ aa |
| 4. | caaba ⇒ ccacaac |
| 5. | accacaac ⇒ aaa |
| 6. | caaaab ⇒ cccacaaa |
| 7. | bbaba ⇒ c |
| 8. | cababa ⇒ ccaac |
| 9. | aaaba ⇒ acacaac |
| 10. | ccacaacba ⇒ cacaac |
| 11. | caacacaac ⇒ cccacaaaa |
| 12. | aaaaab ⇒ accacaaa |
| 13. | aababa ⇒ acaac |
| 14. | acacaacba ⇒ aacaac |
| 15. | cccacccacaaaa ⇒ caaacaac |
| 16. | cccacccacccacaaa ⇒ caaacaacb |
| 17. | aaacacaac ⇒ accacaaaa |
| 18. | caaacaacba ⇒ cccacaaacaac |
| 19. | accacccacaaaa ⇒ aaaacaac |
| 20. | aaaacaacba ⇒ accacaaacaac |
| ... |
Collecting factors up to length 6 / frequency 7:
| [2/0] | aa | 45 | lf:37,lp:5,ls:3,rf:37,rp:4,rs:7,re:1,lsrp:1,lprs:2,a:2 |
|---|---|---|---|
| [2/1] | ac | 37 | lf:29,lp:4,ls:4,rf:31,rp:5,rs:10,lsrp:1,lprs:2,a:2 |
| [2/2] | ca | 36 | lf:31,lp:5,rf:30,rp:5,rs:1,re:1,a:2 |
| [2/3] | cc | 23 | lf:18,lp:5,rf:11,rp:5,a:3 |
| [2/4] | ba | 21 | lf:12,ls:9,a:1 |
| [2/5] | ab | 15 | lf:11,ls:4,a:1 |
| [2/6] | cb | 4 | lf:4,rf:1,rs:1,a:10 |
| [3/0] | aaa | 22 | lf:15,lp:4,ls:3,rf:13,rp:2,rs:5,re:1,lsrp:1,lprs:2,a:6 |
| [3/1] | caa | 21 | lf:17,lp:4,rf:20,rp:3,rs:1,re:1,a:2 |
| [3/2] | aca | 17 | lf:15,lp:2,rf:17,rp:2,a:2 |
| [3/3] | aac | 16 | lf:12,ls:4,rf:17,rp:1,rs:10,a:4 |
| [3/4] | cac | 13 | lf:13,rf:9,rp:1,a:6 |
| [3/5] | cca | 13 | lf:11,lp:2,rf:8,rp:2,a:3 |
| [3/6] | aba | 12 | lf:7,ls:5,a:1 |
| [4/0] | caac | 14 | lf:9,lp:1,ls:4,rf:11,rs:10,a:4 |
| [4/1] | acaa | 13 | lf:12,lp:1,rf:16,rp:1,a:2 |
| [4/2] | ccac | 11 | lf:10,lp:1,rf:7,rp:1,a:7 |
| [4/3] | aaaa | 10 | lf:6,lp:2,ls:2,rf:3,rp:1,rs:2,lsrp:1,a:11 |
| [4/4] | ccca | 10 | lf:7,lp:3,rf:3,rp:3,a:9 |
| [4/5] | caca | 9 | lf:9,rf:9,rp:1,a:6 |
| [4/6] | caaa | 8 | lf:5,lp:2,ls:1,rf:8,rp:2,rs:2,lsrp:1,lprs:1,a:11 |
| [5/0] | acaac | 12 | lf:8,ls:4,rf:10,rp:1,rs:9,re:1,a:4 |
| [5/1] | cccac | 10 | lf:7,lp:3,rf:3,rp:3,a:9 |
| [5/2] | cacaa | 9 | lf:9,rf:9,rp:1,a:6 |
| [5/3] | aacba | 8 | lf:4,ls:4,a:10 |
| [5/4] | ccaca | 7 | lf:6,lp:1,rf:7,rp:1,a:7 |
| [5/5] | caaaa | 6 | lf:3,lp:1,ls:2,rf:2,rs:2,a:11 |
| [5/6] | ababa | 4 | lf:2,ls:2,a:4 |
Considering [length 4 / frequency 2] ccac=d.
Rewriting system is complete. See ⟨a, b | abbabaaab=aa⟩.