Certificate for #1662 ⟨a, b | aba=aa, bab=a

Completion settings:

[1] aba=aa

Axiom: aba=aa.

Defines rule #2.

Referenced by [4].

[2] bab=a

Axiom: bab=a.

Defines rule #4.

Referenced by [3], [4].

[3] baa=aab

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

ba b bab

Critical pair: baa=aab.

Referenced by [5].

[4] aab=aa

Overlap of [1] aba=aa with [2] bab=a:

a ba bab

Critical pair: aa=aab.

Flip LHS and RHS.

Defines rule #1.

Referenced by [5].

[5] baa=aa

Simplify [3] baa=aab.

Reduce RHS:

[4](aab)
aa

Defines rule #3.