| Back: | ⟨a, b | abaaab=aaba⟩ |
|---|
Solved by morph:3/3,3/0. (See Morphocompletion.)
Checking up to 20 rules for overlaps.
Rewriting system is not complete: rulesLimit
| # | Rule |
|---|---|
| 1. | abaaab ⇒ aaba |
| 2. | abaaaaba ⇒ aabaaaab |
| 3. | aaaabaaaabb ⇒ abaaaaaba |
| 4. | ababaaaaaba ⇒ aabaaaaabab |
| 5. | abaabaaaaaba ⇒ aabaaaaabaab |
| 6. | aabaaaabbaaab ⇒ aaabaaaabba |
| 7. | abaaaaabaaaab ⇒ aabaaaaabaa |
| 8. | aabaaaaababaab ⇒ ababaaaaaaba |
| 9. | aabaaaaabbaaab ⇒ aabaaaaababa |
| ... |
Collecting factors up to length 7 / frequency 4:
| [2/0] | aa | 50 | lf:46,lp:4,rf:41,rp:7,rs:1,lprp:2 |
|---|---|---|---|
| [2/1] | ab | 35 | lf:25,lp:5,ls:5,rf:21,rp:2,rs:3,lsrp:1,lprs:3 |
| [2/2] | ba | 22 | lf:19,ls:3,rf:18,rs:5 |
| [2/3] | bb | 4 | lf:3,ls:1,rf:1,a:3 |
| [3/0] | aaa | 29 | lf:28,lp:1,rf:24,rp:1 |
| [3/1] | aab | 26 | lf:18,lp:3,ls:5,rf:16,rp:6,rs:2,lprp:1,lsrp:3 |
| [3/2] | aba | 25 | lf:17,lp:5,ls:3,rf:17,rp:2,rs:4,lprs:1 |
| [3/3] | baa | 14 | lf:14,rf:10,rs:1 |
| [4/0] | aaab | 17 | lf:13,ls:4,rf:9,rp:1,rs:1,lsrp:1 |
| [4/1] | abaa | 16 | lf:12,lp:4,rf:10,rp:1,rs:1,lprs:1 |
| [4/2] | aaba | 16 | lf:10,lp:3,ls:3,rf:13,rp:6,rs:3,re:1,lprp:1,lsrp:3,lprs:1 |
| [4/3] | aaaa | 16 | lf:15,lp:1,rf:15,a:1 |
| [5/0] | abaaa | 13 | lf:10,lp:3,rf:8,rp:1 |
| [5/1] | aaaab | 12 | lf:10,lp:1,ls:1,rf:8,rs:1,a:1 |
| [5/2] | baaaa | 9 | lf:9,rf:8,a:1 |
| [5/3] | aabaa | 9 | lf:6,lp:3,rf:8,rp:5,rs:1,lprp:1,a:1 |
| [6/0] | abaaaa | 11 | lf:9,lp:2,rf:8,rp:1,a:1 |
| [6/1] | aaaaba | 10 | lf:6,lp:1,ls:3,rf:6,rs:2,lprs:1,a:1 |
| [6/2] | aabaaa | 9 | lf:6,lp:3,rf:6,rp:5,lprp:1,a:1 |
| [6/3] | baaaab | 5 | lf:4,ls:1,rf:2,rs:1,a:1 |
Considering [length 3 / frequency 3] baa=c.
Checking up to 20 rules for overlaps.
Rewriting system is not complete: roundsLimit
| # | Rule |
|---|---|
| 1. | baa ⇒ c |
| 2. | acab ⇒ aaba |
| 3. | acac ⇒ aaca |
| 4. | ccab ⇒ caba |
| 5. | ccac ⇒ caca |
| 6. | acaaba ⇒ aacaab |
| 7. | acaaca ⇒ aacaac |
| 8. | cacaab ⇒ bacaac |
| 9. | ccaaba ⇒ bacaac |
| 10. | ccaaca ⇒ cacaac |
| 11. | aaacaab ⇒ acaac |
| 12. | abacaac ⇒ aacaaab |
| 13. | acaaaba ⇒ aacaacb |
| 14. | acaaaca ⇒ aacaacc |
| 15. | caacaab ⇒ ccaac |
| 16. | cacaacb ⇒ baccaac |
| 17. | cbacaac ⇒ cacaaab |
| 18. | ccaaaba ⇒ cacaacb |
| 19. | ccaaaca ⇒ cacaacc |
| 20. | aaacaacb ⇒ accaac |
| ... |
Collecting factors up to length 6 / frequency 7:
| [2/0] | ca | 33 | lf:26,lp:3,ls:4,rf:23,rp:6,rs:2,lsrp:2,a:2 |
|---|---|---|---|
| [2/1] | ac | 33 | lf:23,lp:6,ls:4,rf:28,rp:2,rs:8,lprs:1,a:2 |
| [2/2] | aa | 28 | lf:25,lp:2,ls:1,rf:24,rp:7,a:1 |
| [2/3] | ab | 16 | lf:10,lp:1,ls:5,rf:5,rs:3,lprs:1,a:2 |
| [2/4] | cc | 12 | lf:6,lp:6,rf:5,rp:1,rs:2,lprs:1,a:3 |
| [2/5] | ba | 12 | lf:7,lp:1,ls:4,rf:5,rp:3,rs:2,lsrp:1,a:1 |
| [2/6] | cb | 6 | lf:3,lp:1,ls:2,rf:2,rs:2,a:19 |
| [3/0] | aca | 27 | lf:17,lp:6,ls:4,rf:14,rp:1,rs:2,lprs:10,a:2 |
| [3/1] | caa | 17 | lf:16,lp:1,rf:15,a:6 |
| [3/2] | aac | 13 | lf:11,ls:2,rf:18,rp:6,rs:8,lsrp:1,a:4 |
| [3/3] | cca | 12 | lf:6,lp:6,rf:3,rp:1,a:3 |
| [3/4] | aba | 10 | lf:5,lp:1,ls:4,rf:2,rs:2,a:2 |
| [3/5] | aab | 10 | lf:7,ls:3,rf:4,rp:1,rs:3,a:2 |
| [3/6] | cac | 8 | lf:4,lp:2,ls:2,rf:5,rp:5,lsrp:10,a:4 |
| [4/0] | acaa | 15 | lf:11,lp:4,rf:12,rp:1,a:6 |
| [4/1] | aaca | 11 | lf:7,ls:4,rf:6,rp:6,rs:1,re:1,lsrp:2,a:4 |
| [4/2] | caac | 10 | lf:7,lp:1,ls:2,rf:12,rs:8,lprs:1,a:7 |
| [4/3] | ccaa | 8 | lf:4,lp:4,rf:3,rp:1,a:8 |
| [4/4] | caab | 8 | lf:5,ls:3,rf:1,rs:1,a:6 |
| [4/5] | aaba | 8 | lf:4,ls:4,rf:1,rp:1,rs:1,re:1,a:2 |
| [4/6] | aaac | 6 | lf:4,lp:2,a:12 |
| [5/0] | acaac | 8 | lf:5,lp:1,ls:2,rf:9,rp:1,rs:5,re:1,lprs:10,a:7 |
| [5/1] | acaab | 8 | lf:4,lp:1,ls:3,rf:1,rs:1,lprs:10,a:6 |
| [5/2] | aaaca | 8 | lf:4,lp:2,ls:2,a:12 |
| [5/3] | caaca | 6 | lf:3,lp:1,ls:2,a:7 |
| [5/4] | ccaaa | 4 | lf:2,lp:2,a:26 |
| [5/5] | cacaa | 4 | lf:2,lp:2,rf:4,rp:4,a:9 |
| [5/6] | caacb | 4 | lf:2,ls:2,rf:2,rs:2,a:19 |
Considering [length 3 / frequency 0] aca=d.
Rewriting system is complete. See ⟨a, b | abaaab=aaba⟩.