Certificate for #5415 ⟨a, b | aba=aa, bab=aa

Completion settings:

[1] aba=aa

Axiom: aba=aa.

Defines rule #2.

Referenced by [3], [4], [5].

[2] bab=aa

Axiom: bab=aa.

Defines rule #4.

Referenced by [3], [4].

[3] aab=aaa

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

a ba bab

Critical pair: aaa=aab.

Flip LHS and RHS.

Defines rule #1.

Referenced by [5].

[4] baa=aaa

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

b ab aba

Critical pair: baa=aaa.

Defines rule #3.

[5] aaaa=aaa

Overlap of [3] aab=aaa with [1] aba=aa:

a ab aba

Critical pair: aaa=aaaa.

Flip LHS and RHS.

Defines rule #5.