| Back: | ⟨a, b | aabaab=ababa⟩ |
|---|
Solved by morph:2/0,4/0. (See Morphocompletion.)
Checking up to 20 rules for overlaps.
Rewriting system is not complete: arenaTotalLimit
| # | Rule |
|---|---|
| 1. | aabaab ⇒ ababa |
| 2. | aabababa ⇒ ababaaab |
| 3. | ababaaababaab ⇒ ababaaabbaba |
| 4. | ababaabaaababaab ⇒ ababaabaaabbaba |
| 5. | ababaaabbabaaab ⇒ ababaababaaabba |
| 6. | ababababaaaababaab ⇒ ababababaaaabbaba |
| 7. | ababaabaaabbabaaab ⇒ ababababaabaaabba |
| 8. | ababaaabbabaababa ⇒ ababaababaaabbaaab |
| ... |
Collecting factors up to length 7 / frequency 4:
| [2/0] | ab | 52 | lf:40,lp:6,ls:6,rf:37,rp:8,rs:2,lprp:6,lsrp:6,lprs:1 |
|---|---|---|---|
| [2/1] | ba | 36 | lf:34,ls:2,rf:35,rs:6 |
| [2/2] | aa | 28 | lf:26,lp:2,rf:21 |
| [2/3] | bb | 3 | lf:3,rf:6,a:2 |
| [3/0] | aba | 39 | lf:31,lp:6,ls:2,rf:29,rp:8,rs:4,lprp:6,lsrp:2,lprs:3 |
| [3/1] | aab | 25 | lf:17,lp:2,ls:6,rf:12,rs:2,lprs:1 |
| [3/2] | bab | 17 | lf:17,rf:17 |
| [3/3] | baa | 15 | lf:15,rf:12 |
| [4/0] | abab | 20 | lf:14,lp:6,rf:14,rp:8,lprp:6 |
| [4/1] | baba | 19 | lf:17,ls:2,rf:17,rs:4 |
| [4/2] | abaa | 15 | lf:15,rf:11 |
| [4/3] | baab | 11 | lf:7,ls:4,rf:4 |
| [5/0] | ababa | 22 | lf:14,lp:6,ls:2,rf:14,rp:8,rs:1,re:1,lprp:6,lsrp:2 |
| [5/1] | babaa | 12 | lf:12,rf:9,a:1 |
| [5/2] | abaab | 11 | lf:7,ls:4,rf:4 |
| [5/3] | baaab | 9 | lf:7,ls:2,rf:7,rs:2,a:1 |
| [6/0] | ababaa | 14 | lf:9,lp:5,rf:9,rp:5,lprp:4,a:1 |
| [6/1] | babaab | 9 | lf:6,ls:3,rf:4,a:2 |
| [6/2] | abaaab | 9 | lf:7,ls:2,rf:6,rs:1,a:1 |
| [6/3] | aababa | 7 | lf:5,lp:1,ls:1,rf:2,a:1 |
Considering [length 2 / frequency 0] ab=c.
Checking up to 20 rules for overlaps.
Rewriting system is not complete: roundsLimit
| # | Rule |
|---|---|
| 1. | ab ⇒ c |
| 2. | acac ⇒ cca |
| 3. | accca ⇒ ccaac |
| 4. | ccaacb ⇒ acccc |
| 5. | accccca ⇒ ccaaccac |
| 6. | ccacaacb ⇒ acaacccc |
| 7. | ccccaaacb ⇒ acaacaacccc |
| 8. | ccaaccacb ⇒ acccccc |
| 9. | accccccca ⇒ ccaaccaccac |
| 10. | ccccaacaacb ⇒ acaacaacaacccc |
| 11. | ccacaaccacb ⇒ acaacccccc |
| 12. | ccccaccaaacb ⇒ acaacaacaacaacccc |
| 13. | ccccaaaccacb ⇒ acaacaacccccc |
| 14. | ccaaccaccacb ⇒ acccccccc |
| 15. | accccccccca ⇒ ccaaccaccaccac |
| 16. | ccccaacaaccacb ⇒ acaacaacaacccccc |
| 17. | ccacaaccaccacb ⇒ acaacccccccc |
| 18. | ccccaaaccaccacb ⇒ acaacaacccccccc |
| 19. | ccaaccaccaccacb ⇒ acccccccccc |
| 20. | accccccccccca ⇒ ccaaccaccaccaccac |
| ... |
Collecting factors up to length 6 / frequency 7:
| [2/0] | cc | 82 | lf:69,lp:13,rf:81,rp:6,rs:13,lprs:13,a:2 |
|---|---|---|---|
| [2/1] | ac | 46 | lf:39,lp:6,ls:1,rf:47,rp:13,rs:5,lprs:5,a:2 |
| [2/2] | ca | 43 | lf:38,ls:5,rf:35,rs:1,a:2 |
| [2/3] | cb | 26 | lf:13,ls:13,a:4 |
| [2/4] | aa | 19 | lf:19,rf:24,a:3 |
| [3/0] | cca | 44 | lf:32,lp:7,ls:5,rf:16,rp:6,rs:1,re:1,lsrp:5,a:2 |
| [3/1] | ccc | 43 | lf:37,lp:6,rf:52,rs:13,lprs:6,a:3 |
| [3/2] | acb | 26 | lf:13,ls:13,a:4 |
| [3/3] | acc | 24 | lf:19,lp:5,rf:23,rp:4,a:3 |
| [3/4] | cac | 19 | lf:18,ls:1,rf:10,rs:4,a:2 |
| [3/5] | aac | 15 | lf:15,rf:24,rs:1,a:3 |
| [3/6] | caa | 15 | lf:15,rf:24,a:3 |
| [4/0] | cccc | 32 | lf:26,lp:6,rf:39,rs:13,lprs:6,a:4 |
| [4/1] | ccac | 20 | lf:17,lp:3,rf:10,rs:4,a:5 |
| [4/2] | cacb | 16 | lf:8,ls:8,a:7 |
| [4/3] | ccca | 16 | lf:11,ls:5,a:3 |
| [4/4] | acca | 14 | lf:14,rf:10,a:5 |
| [4/5] | ccaa | 14 | lf:10,lp:4,rf:5,rp:5,a:3 |
| [4/6] | caac | 11 | lf:11,rf:24,rs:1,a:3 |
| [5/0] | cccca | 20 | lf:10,lp:6,ls:4,a:5 |
| [5/1] | ccccc | 16 | lf:16,rf:26,rs:8,a:5 |
| [5/2] | ccacb | 16 | lf:8,ls:8,a:7 |
| [5/3] | accac | 13 | lf:13,rf:10,rs:4,a:5 |
| [5/4] | ccaac | 10 | lf:6,lp:4,rf:5,rp:5,rs:1,re:1,a:3 |
| [5/5] | acccc | 8 | lf:4,lp:4,rf:13,rp:4,rs:5,re:1,a:4 |
| [5/6] | aacca | 8 | lf:8,rf:4,a:5 |
Considering [length 4 / frequency 0] cccc=d.
Rewriting system is complete. See ⟨a, b | aabaab=ababa⟩.