Certificate for #14576 ⟨a, b | aaba=a, baabb=b

Completion settings:

[1] aaba=a

Axiom: aaba=a.

Defines rule #2.

Referenced by [3].

[2] baabb=b

Axiom: baabb=b.

Referenced by [3], [4].

[3] aabb=aab

Overlap of [1] aaba=a with [2] baabb=b:

aa ba baabb

Critical pair: aab=aabb.

Flip LHS and RHS.

Referenced by [4], [5].

[4] baab=b

Overlap of [2] baabb=b with [3] aabb=aab:

b aabb aabb

Critical pair: baab=b.

Defines rule #3.

Referenced by [5].

[5] bb=b

Overlap of [4] baab=b with [3] aabb=aab:

b aab aabb

Critical pair: baab=bb.

Reduce LHS:

[4](baab)
b

Flip LHS and RHS.

Defines rule #1.