Certificate for #2498 ⟨a, b | aababa=aabb⟩

Back:⟨a, b | aababa=aabb⟩

Completion settings:

[1] aababa=aabb

Axiom: aababa=aabb.

Referenced by [3].

[2] aabb=c

Axiom: aabb=c.

Defines rule #1.

Referenced by [3], [5].

[3] aababa=c

Simplify [1] aababa=aabb.

Reduce RHS:

[2](aabb)
⇒ c

Defines rule #2.

Referenced by [4], [5].

[4] cababa=aababc

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

aabab a aababa

Critical pair: aababc=cababa.

Flip LHS and RHS.

Defines rule #4.

[5] cabb=aababc

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

aabab a aabb

Critical pair: aababc=cabb.

Flip LHS and RHS.

Defines rule #3.