Certificate for #5207 ⟨a, b | aab=bb, baaa=b⟩

Back:⟨a, b | aab=bb, baaa=b⟩

Completion settings:

[1] aab=bb

Axiom: aab=bb.

Defines rule #3.

Referenced by [3], [4].

[2] baaa=b

Axiom: baaa=b.

Defines rule #4.

Referenced by [3], [4].

[3] babb=bb

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

ba aa aab

Critical pair: babb=bb.

Referenced by [5].

[4] bab=bbbb

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

baa a aab

Critical pair: baabb=bab.

Reduce LHS:

[1]b(aab)b
⇒ bbbb

Flip LHS and RHS.

Defines rule #2.

Referenced by [5].

[5] bbbbb=bb

Simplify [3] babb=bb.

Reduce LHS:

[4](bab)b
⇒ bbbbb

Defines rule #1.