Certificate for #15531 ⟨a, b | aaa=bb, abbbb=a

Completion settings:

[1] aaa=bb

Axiom: aaa=bb.

Defines rule #1.

Referenced by [3], [4].

[2] abbbb=a

Axiom: abbbb=a.

Defines rule #3.

Referenced by [4].

[3] bba=abb

Overlap of [1] aaa=bb with [1] aaa=bb:

a aa aaa

Critical pair: abb=bba.

Flip LHS and RHS.

Defines rule #2.

[4] bbbbbb=bb

Overlap of [1] aaa=bb with [2] abbbb=a:

aa a abbbb

Critical pair: aaa=bbbbbb.

Reduce LHS:

[1](aaa)
bb

Flip LHS and RHS.

Defines rule #4.