| Back: | ⟨a, b | ababbaba=1⟩ |
|---|
Solved by morph:2/0,3/0. (See Morphocompletion.)
Checking up to 20 rules for overlaps.
Rewriting system is not complete: rulesLimit
| # | Rule |
|---|---|
| 1. | babaa ⇒ aabab |
| 2. | bbaba ⇒ ababb |
| 3. | baabab ⇒ ababba |
| 4. | aababbab ⇒ 1 |
| 5. | baaaabab ⇒ ababbaaa |
| 6. | bbaaabab ⇒ ababbbaa |
| 7. | baaaaaabab ⇒ ababbaaaaa |
| 8. | baabaaabab ⇒ ababbaabaa |
| 9. | bbaaaaabab ⇒ ababbbaaaa |
| 10. | aababababbab ⇒ baba |
| 11. | baaaaaaaabab ⇒ ababbaaaaaaa |
| 12. | baaaabaaabab ⇒ ababbaaaabaa |
| 13. | baabaaaaabab ⇒ ababbaabaaaa |
| 14. | bbaaaaaaabab ⇒ ababbbaaaaaa |
| 15. | bbaaabaaabab ⇒ ababbbaaabaa |
| ... |
Collecting factors up to length 7 / frequency 4:
| [2/0] | aa | 51 | lf:48,lp:2,ls:1,rf:35,rp:1,rs:10,lsrp:1,a:5 |
|---|---|---|---|
| [2/1] | ab | 49 | lf:36,ls:13,rf:31,rp:12,rs:1,lsrp:11,a:1 |
| [2/2] | ba | 45 | lf:36,lp:8,ls:1,rf:30,rp:1,rs:2,lprs:1,a:1 |
| [2/3] | bb | 12 | lf:7,lp:5,rf:16,rs:1,lprs:1,a:1 |
| [3/0] | bab | 33 | lf:19,lp:1,ls:13,rf:14,rp:1,rs:1,lsrp:1,lprs:1,a:1 |
| [3/1] | aaa | 30 | lf:30,rf:20,rs:6,a:11 |
| [3/2] | baa | 24 | lf:16,lp:7,ls:1,rf:14,rs:4,lprs:2,a:8 |
| [3/3] | aba | 22 | lf:21,ls:1,rf:18,rp:12,rs:1,lsrp:1,a:1 |
| [4/0] | abab | 26 | lf:15,ls:11,rf:13,rp:12,rs:1,lsrp:11,a:1 |
| [4/1] | aaba | 19 | lf:17,lp:2,rf:5,rp:1,a:5 |
| [4/2] | aaaa | 18 | lf:18,rf:12,rs:5,a:12 |
| [4/3] | baaa | 16 | lf:12,lp:4,rf:8,rs:1,lprs:1,a:11 |
| [5/0] | aabab | 26 | lf:13,lp:2,ls:11,rf:1,rp:1,rs:1,re:1,a:5 |
| [5/1] | aaaba | 12 | lf:12,rf:2,a:11 |
| [5/2] | baaaa | 11 | lf:7,lp:4,rf:6,rs:2,a:12 |
| [5/3] | aaaaa | 11 | lf:11,rf:6,rs:3,a:15 |
| [6/0] | aaabab | 20 | lf:10,ls:10,a:11 |
| [6/1] | baaaaa | 7 | lf:5,lp:2,rf:3,rs:1,lprs:1,a:15 |
| [6/2] | aaaaba | 7 | lf:7,rf:1,a:12 |
| [6/3] | aaaaaa | 6 | lf:6,rf:3,rs:2,a:15 |
Considering [length 2 / frequency 0] aa=c.
Checking up to 20 rules for overlaps.
Rewriting system is not complete: roundsLimit
| # | Rule |
|---|---|
| 1. | ca ⇒ ac |
| 2. | aa ⇒ c |
| 3. | cbab ⇒ babc |
| 4. | cbabc ⇒ babcc |
| 5. | cbaba ⇒ babac |
| 6. | cbabb ⇒ babcb |
| 7. | abcbab ⇒ abbabc |
| 8. | babcba ⇒ abcbab |
| 9. | bbaba ⇒ ababb |
| 10. | bbabcbc ⇒ a |
| 11. | cbbabcb ⇒ a |
| 12. | ababba ⇒ bbabc |
| 13. | abbabcb ⇒ 1 |
| 14. | babbabc ⇒ 1 |
| 15. | babbabcc ⇒ c |
| ... |
Collecting factors up to length 6 / frequency 7:
| [2/0] | ba | 26 | lf:19,lp:3,ls:4,rf:9,rp:4,lsrp:1,a:3 |
|---|---|---|---|
| [2/1] | ab | 23 | lf:18,lp:3,ls:2,rf:11,rp:3,rs:1,lprp:1,lsrp:1,a:3 |
| [2/2] | cb | 17 | lf:10,lp:5,ls:2,rf:2,rs:1,lprs:1,a:15 |
| [2/3] | bc | 12 | lf:9,ls:3,rf:6,rs:3,a:12 |
| [2/4] | bb | 11 | lf:8,lp:2,ls:1,rf:3,rp:1,rs:1,lprs:1,a:3 |
| [2/5] | cc | 2 | lf:1,ls:1,rf:1,rs:1,a:34 |
| [2/6] | ac | 0 | rf:2,rp:1,rs:2,re:1,a:2 |
| [3/0] | bab | 20 | lf:15,lp:3,ls:2,rf:8,rp:4,rs:1,lsrp:10,lprs:1,a:3 |
| [3/1] | cba | 11 | lf:6,lp:4,ls:1,rf:1,a:15 |
| [3/2] | abc | 11 | lf:8,lp:1,ls:2,rf:6,rp:1,rs:3,lprs:1,a:12 |
| [3/3] | bba | 10 | lf:7,lp:2,ls:1,rf:2,rp:1,lsrp:1,a:3 |
| [3/4] | abb | 7 | lf:5,lp:1,ls:1,rf:2,rp:1,rs:1,a:3 |
| [3/5] | bcb | 7 | lf:5,ls:2,rf:2,rs:1,a:15 |
| [3/6] | aba | 6 | lf:3,lp:1,ls:2,rf:2,rp:1,lsrp:1,a:3 |
| [4/0] | babc | 10 | lf:7,lp:1,ls:2,rf:5,rp:3,rs:3,re:1,lsrp:10,a:12 |
| [4/1] | bbab | 8 | lf:6,lp:2,rf:2,rp:1,a:3 |
| [4/2] | cbab | 8 | lf:4,lp:3,ls:1,rf:1,rs:1,a:15 |
| [4/3] | abcb | 8 | lf:5,lp:1,ls:2,rf:2,rp:1,rs:1,a:15 |
| [4/4] | babb | 7 | lf:4,lp:2,ls:1,rf:1,rs:1,a:3 |
| [4/5] | abba | 6 | lf:4,lp:1,ls:1,rf:1,rp:1,a:12 |
| [4/6] | baba | 4 | lf:2,ls:2,rf:1,rp:1,lsrp:10,a:3 |
| [5/0] | bbabc | 7 | lf:5,lp:1,ls:1,rf:2,rp:1,rs:2,re:1,a:12 |
| [5/1] | babcb | 7 | lf:4,lp:1,ls:2,rf:1,rp:1,rs:1,re:1,a:22 |
| [5/2] | babba | 6 | lf:3,lp:2,ls:1,a:12 |
| [5/3] | abbab | 4 | lf:3,lp:1,rf:1,rp:1,a:15 |
| [5/4] | abcba | 4 | lf:2,lp:1,ls:1,rf:1,rp:1,lsrp:10,a:15 |
| [5/5] | ababb | 2 | lf:1,lp:1,rf:1,rp:1,rs:1,re:1,a:3 |
| [5/6] | cbbab | 2 | lf:1,lp:1,a:28 |
Considering [length 3 / frequency 0] bab=d.
Rewriting system is complete. See ⟨a, b | ababbaba=1⟩.