Certificate for #4151 ⟨a, b | aabbaaaab=aa⟩

Back:⟨a, b | aabbaaaab=aa⟩

Completion settings:

[1] aabbaaaab=aa

Axiom: aabbaaaab=aa.

Defines rule #3.

Referenced by [2], [3].

[2] aabaaaab=aabbaaaa

Overlap of [1] aabbaaaab=aa with [1] aabbaaaab=aa:

aabbaa aab aabbaaaab

Critical pair: aabbaaaa=aabaaaab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[3] aaaaaab=aabaaaa

Overlap of [1] aabbaaaab=aa with [2] aabaaaab=aabbaaaa:

aabbaa aab aabaaaab

Critical pair: aabbaaaabbaaaa=aaaaaab.

Reduce LHS:

[1](aabbaaaab)baaaa
⇒ aabaaaa

Flip LHS and RHS.

Defines rule #1.