Certificate for #8079 ⟨a, b | aaa=1, baab=abb⟩

Back:⟨a, b | aaa=1, baab=abb⟩

Completion settings:

[1] aaa=1

Axiom: aaa=1.

Defines rule #1.

Referenced by [3], [4].

[2] baab=abb

Axiom: baab=abb.

Defines rule #2.

Referenced by [3].

[3] ababb=bbb

Overlap of [2] baab=abb with [2] baab=abb:

baa b baab

Critical pair: baaabb=abbaab.

Reduce LHS:

[1]b(aaa)bb
⇒ bbb

Reduce RHS:

[2]ab(baab)
⇒ ababb

Flip LHS and RHS.

Referenced by [4].

[4] babb=aabbb

Overlap of [1] aaa=1 with [3] ababb=bbb:

aa a ababb

Critical pair: aabbb=babb.

Flip LHS and RHS.

Defines rule #3.