Certificate for #1629 ⟨a, b, c | aab=ab, cca=1⟩

Back:⟨a, b, c | aab=ab, cca=1⟩

Completion settings:

[1] aab=ab

Axiom: aab=ab.

Referenced by [3].

[2] cca=1

Axiom: cca=1.

Defines rule #2.

Referenced by [3], [4].

[3] ab=b

Overlap of [2] cca=1 with [1] aab=ab:

cc a aab

Critical pair: ccab=ab.

Reduce LHS:

[2](cca)b
⇒ b

Flip LHS and RHS.

Defines rule #1.

Referenced by [4].

[4] ccb=b

Overlap of [2] cca=1 with [3] ab=b:

cc a ab

Critical pair: ccb=b.

Defines rule #3.