Certificate for #19555 ⟨a, b | aab=b, abbaa=bb

Completion settings:

[1] aab=b

Axiom: aab=b.

Defines rule #1.

Referenced by [3], [4].

[2] abbaa=bb

Axiom: abbaa=bb.

Referenced by [3].

[3] abb=bbaa

Overlap of [1] aab=b with [2] abbaa=bb:

a ab abbaa

Critical pair: abb=bbaa.

Defines rule #3.

Referenced by [4].

[4] bbaaaa=bb

Overlap of [1] aab=b with [3] abb=bbaa:

a ab abb

Critical pair: abbaa=bb.

Reduce LHS:

[3](abb)aa
bbaaaa

Defines rule #2.