Certificate for #18732 ⟨a, b | aaa=a, abbabb=a

Completion settings:

[1] aaa=a

Axiom: aaa=a.

Defines rule #1.

Referenced by [4].

[2] abbabb=a

Axiom: abbabb=a.

Referenced by [3], [4].

[3] abba=aabb

Overlap of [2] abbabb=a with [2] abbabb=a:

abb abb abbabb

Critical pair: abba=aabb.

Defines rule #2.

Referenced by [4].

[4] abbbb=aa

Overlap of [2] abbabb=a with [3] abba=aabb:

abb abb abba

Critical pair: abbaabb=aa.

Reduce LHS:

[3](abba)abb
[3]a(abba)bb
[1](aaa)bbbb
abbbb

Defines rule #3.