Certificate for #5136 ⟨a, b | aabaaba=aabb⟩

Back:⟨a, b | aabaaba=aabb⟩

Completion settings:

[1] aabaaba=aabb

Axiom: aabaaba=aabb.

Referenced by [3].

[2] aabb=c

Axiom: aabb=c.

Defines rule #2.

Referenced by [3], [5].

[3] aabaaba=c

Simplify [1] aabaaba=aabb.

Reduce RHS:

[2](aabb)
⇒ c

Defines rule #3.

Referenced by [4], [5].

[4] caba=aabc

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

aab aaba aabaaba

Critical pair: aabc=caba.

Flip LHS and RHS.

Defines rule #1.

[5] cabb=aabaabc

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

aabaab a aabb

Critical pair: aabaabc=cabb.

Flip LHS and RHS.

Defines rule #4.