| Back: | ⟨a, b | abbaabaab=ba⟩ |
|---|
Solved by morph:3/1,2/5. (See Morphocompletion.)
Checking up to 20 rules for overlaps.
Rewriting system is not complete: arenaTotalLimit
| # | Rule |
|---|---|
| 1. | abbaabaab ⇒ ba |
| 2. | babaabaab ⇒ abbaababa |
| 3. | abbaabaaabbaababa ⇒ baabaabaab |
| 4. | baaabbbaabaababaab ⇒ ababbaabaaabbaabba |
| 5. | baabaabaabbbaabaab ⇒ abbaabaaabbaababba |
| 6. | babaabaaabbaababa ⇒ abbaaabbaababaaab |
| 7. | ababbaabaaabbaababba ⇒ baaabbbaabaab |
| 8. | abbaabaaabbaaabbaababa ⇒ baabaabaababaab |
| ... |
Collecting factors up to length 7 / frequency 4:
| [2/0] | ba | 46 | lf:38,lp:4,ls:4,rf:29,rp:4,rs:4,re:1,lsrp:3,lprs:3 |
|---|---|---|---|
| [2/1] | ab | 46 | lf:38,lp:4,ls:4,rf:29,rp:4,rs:4,lsrp:3,lprs:3 |
| [2/2] | aa | 32 | lf:32,rf:25 |
| [2/3] | bb | 14 | lf:14,rf:11 |
| [3/0] | aab | 30 | lf:26,ls:4,rf:20,rs:4 |
| [3/1] | baa | 28 | lf:26,lp:2,rf:20,rp:3 |
| [3/2] | aba | 26 | lf:22,lp:1,ls:3,rf:15,rp:1,rs:1 |
| [3/3] | abb | 15 | lf:12,lp:3,rf:10,rp:3 |
| [4/0] | baab | 25 | lf:20,lp:1,ls:4,rf:15,rp:2,rs:3 |
| [4/1] | aaba | 15 | lf:15,rf:11 |
| [4/2] | abba | 14 | lf:10,lp:3,ls:1,rf:9,rp:3,rs:2 |
| [4/3] | abaa | 13 | lf:13,rf:9 |
| [5/0] | baaba | 16 | lf:15,lp:1,rf:11,rp:2 |
| [5/1] | abaab | 13 | lf:9,ls:4,rf:6,rs:3 |
| [5/2] | abbaa | 12 | lf:9,lp:3,rf:7,rp:3 |
| [5/3] | aabaa | 10 | lf:10,rf:7 |
| [6/0] | baabaa | 11 | lf:10,lp:1,rf:7,rp:2 |
| [6/1] | abbaab | 11 | lf:8,lp:3,rf:6,rp:2 |
| [6/2] | bbaaba | 10 | lf:10,rf:6 |
| [6/3] | aabaab | 9 | lf:6,ls:3,rf:5,rs:2 |
Considering [length 3 / frequency 1] baa=c.
Checking up to 20 rules for overlaps.
Rewriting system is not complete: arenaTotalLimit
| # | Rule |
|---|---|
| 1. | cbccbbcccbccbc ⇒ bcbcccbcccbccb |
| 2. | cbccbbcccbcccbcbc ⇒ bcccbbcccbcccbccb |
| 3. | cbccbbcccbcccbccb ⇒ bc |
| 4. | cbccbbcccbcbcbcccbcccbccb ⇒ bcbcccbcccbccbcbbcccbccbc |
| 5. | bcbcccbcccbccbcbbcccbcccbccb ⇒ cbccbbcccbcbc |
| 6. | bcbcccbcccbccbbccbbcccbcccbccb ⇒ cbccbbcccbccbbc |
| 7. | bcccbbcccbcccbccbcbbcccbcccbccb ⇒ cbccbbcccbcccbbc |
| 8. | ca ⇒ abccc |
| 9. | ba ⇒ abccb |
| 10. | aabccbbcccbcbc ⇒ cbcccbcccbccbcbbcccbcccbccb |
| 11. | aabccbbcccbccbc ⇒ cbcccbcccbccb |
| 12. | aabccbbcccbccbbc ⇒ cbcccbcccbccbbccbbcccbcccbccb |
| 13. | aabccbbcccbcccbcbc ⇒ cccbbcccbcccbccb |
| 14. | aabccbbcccbcccbccb ⇒ c |
| ... |
Collecting factors up to length 6 / frequency 7:
| [2/0] | cc | 78 | lf:78,rf:68,rp:1,rs:1,a:2 |
|---|---|---|---|
| [2/1] | bc | 74 | lf:65,lp:3,ls:6,rf:51,rp:4,rs:5,re:1,lsrp:2,lprs:3,a:2 |
| [2/2] | cb | 73 | lf:63,lp:4,ls:6,rf:52,rp:6,rs:7,lsrp:3,lprs:2,a:2 |
| [2/3] | bb | 15 | lf:15,rf:11,a:4 |
| [2/4] | aa | 10 | lf:5,lp:5,a:56 |
| [2/5] | ab | 5 | lf:5,rf:2,rp:2,a:2 |
| [3/0] | ccb | 56 | lf:50,ls:6,rf:41,rs:7,a:2 |
| [3/1] | cbc | 51 | lf:42,lp:4,ls:5,rf:34,rp:6,rs:2,lsrp:2,lprs:1,a:4 |
| [3/2] | bcc | 51 | lf:50,lp:1,rf:41,rp:1,a:2 |
| [3/3] | ccc | 28 | lf:28,rf:26,rp:1,rs:1,a:4 |
| [3/4] | bbc | 16 | lf:15,ls:1,rf:11,rs:2,a:4 |
| [3/5] | cbb | 15 | lf:15,rf:11,a:4 |
| [3/6] | bcb | 11 | lf:9,lp:2,rf:5,rp:2,a:6 |
| [4/0] | cbcc | 34 | lf:30,lp:4,rf:29,rp:6,a:4 |
| [4/1] | ccbc | 33 | lf:31,ls:2,rf:25,rs:1,a:4 |
| [4/2] | bccc | 29 | lf:28,lp:1,rf:25,rp:1,rs:1,a:4 |
| [4/3] | bccb | 28 | lf:22,ls:6,rf:16,rs:7,a:2 |
| [4/4] | cccb | 28 | lf:28,rf:25,rp:1,a:4 |
| [4/5] | cbbc | 16 | lf:15,ls:1,rf:11,rs:2,a:4 |
| [4/6] | bbcc | 14 | lf:14,rf:9,a:4 |
| [5/0] | bcccb | 29 | lf:28,lp:1,rf:24,rp:1,a:4 |
| [5/1] | cccbc | 27 | lf:27,rf:22,a:4 |
| [5/2] | cbccb | 26 | lf:16,lp:4,ls:6,rf:14,rp:3,rs:6,lsrp:3,lprs:2,a:4 |
| [5/3] | ccbcc | 23 | lf:23,rf:21,a:4 |
| [5/4] | ccbbc | 14 | lf:13,ls:1,rf:9,rs:2,a:4 |
| [5/5] | cbbcc | 14 | lf:14,rf:9,a:4 |
| [5/6] | cbccc | 14 | lf:14,rf:15,rp:3,a:4 |
Considering [length 2 / frequency 5] ab=d.
Rewriting system is complete. See ⟨a, b | abbaabaab=ba⟩.