Certificate for #4127 ⟨a, b | aab=aaa, bab=b⟩

Back:⟨a, b | aab=aaa, bab=b⟩

Completion settings:

[1] aab=aaa

Axiom: aab=aaa.

Defines rule #1.

Referenced by [3].

[2] bab=b

Axiom: bab=b.

Defines rule #2.

Referenced by [3].

[3] aaaaa=aaa

Overlap of [1] aab=aaa with [2] bab=b:

aa b bab

Critical pair: aab=aaaab.

Reduce LHS:

[1](aab)
⇒ aaa

Reduce RHS:

[1]aa(aab)
⇒ aaaaa

Flip LHS and RHS.

Defines rule #3.