Certificate for #5634 ⟨a, b, c | aa=a, bab=ac⟩

Completion settings:

[1] aa=a

Axiom: aa=a.

Defines rule #1.

Referenced by [3].

[2] bab=ac

Axiom: bab=ac.

Defines rule #3.

Referenced by [3].

[3] bac=acab

Overlap of [2] bab=ac with [2] bab=ac:

ba b bab

Critical pair: baac=acab.

Reduce LHS:

[1]b(aa)c
⇒ bac

Defines rule #2.