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a, b | ab=1, aabb=1

Monoid presentation of length 6

Properties

Completion parameters

Complete rewriting system

  1. ab ⇒ 1

Right Cayley graph (truncated)

Left Cayley graph (truncated)

Other isomorphic instances

108 total

Length:Presentation:
6a, b | ab=1, abab=1
6a, b | ab=1, aab=a
6a, b | ab=1, aba=a
8a, b | aab=a, aabb=1
8a, b | aba=a, aabb=1
8a, b | aba=a, abab=1
8a, b | ab=1, aaabbb=1
8a, b | ab=1, aababb=1
8a, b | ab=1, aabbab=1
8a, b | ab=1, ababab=1
8a, b | ab=1, aaabb=a
8a, b | ab=1, aabab=a
8a, b | ab=1, aabba=a
8a, b | ab=1, abaab=a
8a, b | ab=1, ababa=a
8a, b | ab=1, aaab=aa
8a, b | ab=1, aaba=aa
8a, b | ab=1, aabb=ab
8a, b | ab=1, abaa=aa
8a, b | ab=1, abab=ab
8a, b | ab=1, abba=ba
8a, b | ab=1, baba=ba
8a, b | ab=1, aba=aab
10a, b | aaab=aa, aabb=1
10a, b | aaba=aa, aabb=1
10a, b | aaba=aa, baba=1
10a, b | aaba=aa, bbaa=1
10a, b | abab=ab, baba=1
10a, b | abab=ab, bbaa=1
10a, b | abba=ab, bbaa=1
10a, b | aabb=1, aaabbb=1
10a, b | aabb=1, aabbab=1
10a, b | abab=1, aababb=1
10a, b | abab=1, ababab=1
10a, b | aab=a, aaabbb=1
10a, b | aab=a, aababb=1
10a, b | aba=a, aaabbb=1
10a, b | aba=a, aababb=1
10a, b | aba=a, aabbab=1
10a, b | aba=a, abaabb=1
10a, b | aba=a, ababab=1
10a, b | ab=1, aaaabbbb=1
10a, b | ab=1, aaababbb=1
10a, b | ab=1, aaabbabb=1
10a, b | ab=1, aaabbbab=1
10a, b | ab=1, aabababb=1
10a, b | ab=1, aababbab=1
10a, b | ab=1, aabbaabb=1
10a, b | ab=1, aabbabab=1
10a, b | ab=1, abaabbab=1
10a, b | ab=1, abababab=1
10a, b | ab=1, aaaabbb=a
10a, b | ab=1, aaababb=a
10a, b | ab=1, aaabbab=a
10a, b | ab=1, aaabbba=a
10a, b | ab=1, aabaabb=a
10a, b | ab=1, aababab=a
10a, b | ab=1, aababba=a
10a, b | ab=1, aabbaab=a
10a, b | ab=1, aabbaba=a
10a, b | ab=1, aabbbab=b
10a, b | ab=1, abaabab=a
10a, b | ab=1, abaabba=a
10a, b | ab=1, ababaab=a
10a, b | ab=1, abababa=a
10a, b | ab=1, aaaabb=aa
10a, b | ab=1, aaabab=aa
10a, b | ab=1, aaabba=aa
10a, b | ab=1, aaabbb=ab
10a, b | ab=1, aabaab=aa
10a, b | ab=1, aababa=aa
10a, b | ab=1, aababb=ab
10a, b | ab=1, aabbaa=aa
10a, b | ab=1, aabbab=ab
10a, b | ab=1, aabbba=ba
10a, b | ab=1, abaaab=aa
10a, b | ab=1, abaaba=aa
10a, b | ab=1, ababaa=aa
10a, b | ab=1, ababab=ab
10a, b | ab=1, ababba=ba
10a, b | ab=1, abbaab=ba
10a, b | ab=1, abbaba=ba
10a, b | ab=1, baabba=ba
10a, b | ab=1, bababa=ba
10a, b | ab=1, aaaab=aaa
10a, b | ab=1, aaaba=aaa
10a, b | ab=1, aaabb=aab
10a, b | ab=1, aaabb=aba
10a, b | ab=1, aabaa=aaa
10a, b | ab=1, aabab=aab
10a, b | ab=1, aabab=aba
10a, b | ab=1, aabba=aab
10a, b | ab=1, aabba=aba
10a, b | ab=1, abaaa=aaa
10a, b | ab=1, abaab=aab
10a, b | ab=1, abaab=aba
10a, b | ab=1, ababa=aab
10a, b | ab=1, ababa=aba
10a, b | ab=1, abbaa=baa
10a, b | ab=1, abbba=bba
10a, b | ab=1, baaba=baa
10a, b | ab=1, babaa=baa
10a, b | ab=1, aaba=aaab
10a, b | ab=1, abaa=aaab
10a, b | ab=1, abaa=aaba
10a, b | ab=1, abab=aabb
10a, b | ab=1, baab=abba
10a, b | ab=1, baba=abba