Certificate for #1948 ⟨a, b, c | abc=ab, cca=1⟩

Back:⟨a, b, c | abc=ab, cca=1⟩

Completion settings:

[1] abc=ab

Axiom: abc=ab.

Referenced by [3].

[2] cca=1

Axiom: cca=1.

Defines rule #3.

Referenced by [3], [4].

[3] bc=b

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

cc a abc

Critical pair: ccab=bc.

Reduce LHS:

[2](cca)b
⇒ b

Flip LHS and RHS.

Defines rule #2.

Referenced by [4].

[4] ba=b

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

b c cca

Critical pair: b=bca.

Reduce RHS:

[3](bc)a
⇒ ba

Flip LHS and RHS.

Defines rule #1.