Certificate for #2482 ⟨a, b | aabaab=aabb⟩

Back:⟨a, b | aabaab=aabb⟩

Completion settings:

[1] aabaab=aabb

Axiom: aabaab=aabb.

Referenced by [3].

[2] aabb=c

Axiom: aabb=c.

Defines rule #1.

Referenced by [3], [5].

[3] aabaab=c

Simplify [1] aabaab=aabb.

Reduce RHS:

[2](aabb)
⇒ c

Defines rule #2.

Referenced by [4], [5].

[4] caab=aabc

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

aab aab aabaab

Critical pair: aabc=caab.

Flip LHS and RHS.

Defines rule #4.

[5] cb=aabc

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

aab aab aabb

Critical pair: aabc=cb.

Flip LHS and RHS.

Defines rule #3.