Certificate for #10833 ⟨a, b | aaba=abb, bbbb=1⟩

Back:⟨a, b | aaba=abb, bbbb=1⟩

Completion settings:

[1] abb=aaba

Axiom: aaba=abb.

Flip LHS and RHS.

Defines rule #1.

Referenced by [3].

[2] bbbb=1

Axiom: bbbb=1.

Defines rule #3.

Referenced by [3].

[3] aabaaba=a

Overlap of [1] abb=aaba with [2] bbbb=1:

a bb bbbb

Critical pair: a=aababb.

Reduce RHS:

[1]aab(abb)
⇒ aabaaba

Flip LHS and RHS.

Defines rule #2.