Certificate for #5348 ⟨a, b | aaa=bb, abb=bb⟩

Back:⟨a, b | aaa=bb, abb=bb⟩

Completion settings:

[1] aaa=bb

Axiom: aaa=bb.

Defines rule #1.

Referenced by [3], [4].

[2] abb=bb

Axiom: abb=bb.

Defines rule #2.

Referenced by [3], [4].

[3] bba=bb

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

a aa aaa

Critical pair: abb=bba.

Reduce LHS:

[2](abb)
⇒ bb

Flip LHS and RHS.

Defines rule #3.

[4] bbbb=bb

Overlap of [1] aaa=bb with [2] abb=bb:

aa a abb

Critical pair: aabb=bbbb.

Reduce LHS:

[2]a(abb)
[2]⇒ (abb)
⇒ bb

Flip LHS and RHS.

Defines rule #4.