Certificate for #13009 ⟨a, b | abb=aab, baaa=b⟩

Back:⟨a, b | abb=aab, baaa=b⟩

Completion settings:

[1] aab=abb

Axiom: abb=aab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

[2] baaa=b

Axiom: baaa=b.

Defines rule #3.

Referenced by [3], [4].

[3] babbb=bb

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

ba aa aab

Critical pair: baabb=bb.

Reduce LHS:

[1]b(aab)b
⇒ babbb

Referenced by [5].

[4] bab=bbb

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

baa a aab

Critical pair: baaabb=bab.

Reduce LHS:

[2](baaa)bb
⇒ bbb

Flip LHS and RHS.

Defines rule #1.

Referenced by [5].

[5] bbbbb=bb

Simplify [3] babbb=bb.

Reduce LHS:

[4](bab)bb
⇒ bbbbb

Defines rule #4.