Certificate for #6697 ⟨a, b | aab=b, baaa=bb⟩

Back:⟨a, b | aab=b, baaa=bb⟩

Completion settings:

[1] aab=b

Axiom: aab=b.

Defines rule #2.

Referenced by [3], [4].

[2] baaa=bb

Axiom: baaa=bb.

Defines rule #4.

Referenced by [3], [4].

[3] bab=bbb

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

ba aa aab

Critical pair: bab=bbb.

Defines rule #1.

Referenced by [4].

[4] bbbb=bb

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

baa a aab

Critical pair: baab=bbab.

Reduce LHS:

[1]b(aab)
⇒ bb

Reduce RHS:

[3]b(bab)
⇒ bbbb

Flip LHS and RHS.

Defines rule #3.