Certificate for #20119 ⟨a, b | aab=b, baaa=bbb⟩

Back:⟨a, b | aab=b, baaa=bbb⟩

Completion settings:

[1] aab=b

Axiom: aab=b.

Defines rule #3.

Referenced by [3], [4].

[2] baaa=bbb

Axiom: baaa=bbb.

Defines rule #4.

Referenced by [3], [4].

[3] bab=bbbb

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

ba aa aab

Critical pair: bab=bbbb.

Defines rule #2.

Referenced by [4].

[4] bbbbbb=bb

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

baa a aab

Critical pair: baab=bbbab.

Reduce LHS:

[1]b(aab)
⇒ bb

Reduce RHS:

[3]bb(bab)
⇒ bbbbbb

Flip LHS and RHS.

Defines rule #1.