Certificate for #5040 ⟨a, b | aaababa=aabb⟩

Back:⟨a, b | aaababa=aabb⟩

Completion settings:

[1] aaababa=aabb

Axiom: aaababa=aabb.

Referenced by [3].

[2] aabb=c

Axiom: aabb=c.

Defines rule #1.

Referenced by [3], [5].

[3] aaababa=c

Simplify [1] aaababa=aabb.

Reduce RHS:

[2](aabb)
⇒ c

Defines rule #2.

Referenced by [4], [5].

[4] caababa=aaababc

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

aaabab a aaababa

Critical pair: aaababc=caababa.

Flip LHS and RHS.

Defines rule #4.

[5] cabb=aaababc

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

aaabab a aabb

Critical pair: aaababc=cabb.

Flip LHS and RHS.

Defines rule #3.