Certificate for #5120 ⟨a, b | aabaaab=aabb⟩

Back:⟨a, b | aabaaab=aabb⟩

Completion settings:

[1] aabaaab=aabb

Axiom: aabaaab=aabb.

Referenced by [3].

[2] aabb=c

Axiom: aabb=c.

Defines rule #1.

Referenced by [3], [5].

[3] aabaaab=c

Simplify [1] aabaaab=aabb.

Reduce RHS:

[2](aabb)
⇒ c

Defines rule #2.

Referenced by [4], [5].

[4] caaab=aabac

Overlap of [3] aabaaab=c with [3] aabaaab=c:

aaba aab aabaaab

Critical pair: aabac=caaab.

Flip LHS and RHS.

Defines rule #4.

[5] cb=aabac

Overlap of [3] aabaaab=c with [2] aabb=c:

aaba aab aabb

Critical pair: aabac=cb.

Flip LHS and RHS.

Defines rule #3.