Certificate for #20616 ⟨a, b | ab=aa, bbaaaa=a

Completion settings:

[1] ab=aa

Axiom: ab=aa.

Defines rule #1.

Referenced by [3].

[2] bbaaaa=a

Axiom: bbaaaa=a.

Referenced by [3], [4], [5], [6].

[3] aaaaaaa=aa

Overlap of [1] ab=aa with [2] bbaaaa=a:

a b bbaaaa

Critical pair: aa=aabaaaa.

Reduce RHS:

[1]a(ab)aaaa
aaaaaaa

Flip LHS and RHS.

Referenced by [4].

[4] bbaa=aaaa

Overlap of [2] bbaaaa=a with [3] aaaaaaa=aa:

bb aaaa aaaaaaa

Critical pair: bbaa=aaaa.

Referenced by [5].

[5] aaaaaa=a

Overlap of [2] bbaaaa=a with [4] bbaa=aaaa:

bbaaaa bbaa

Critical pair: aaaaaa=a.

Defines rule #3.

Referenced by [6].

[6] bba=aaa

Overlap of [2] bbaaaa=a with [5] aaaaaa=a:

bb aaaa aaaaaa

Critical pair: bba=aaa.

Defines rule #2.