Certificate for #19725 ⟨a, b | aba=b, aabab=bb⟩

Back:⟨a, b | aba=b, aabab=bb⟩

Completion settings:

[1] aba=b

Axiom: aba=b.

Defines rule #1.

Referenced by [2], [3].

[2] abb=bb

Axiom: aabab=bb.

Reduce LHS:

[1]a(aba)b
⇒ abb

Defines rule #2.

Referenced by [3].

[3] bba=bb

Overlap of [1] aba=b with [1] aba=b:

ab a aba

Critical pair: abb=bba.

Reduce LHS:

[2](abb)
⇒ bb

Flip LHS and RHS.

Defines rule #3.