Certificate for #2937 ⟨a, b, c | aab=b, bca=c⟩

Back:⟨a, b, c | aab=b, bca=c⟩

Completion settings:

[1] aab=b

Axiom: aab=b.

Defines rule #2.

Referenced by [3], [4].

[2] bca=c

Axiom: bca=c.

Defines rule #3.

Referenced by [3], [4], [5].

[3] aac=c

Overlap of [1] aab=b with [2] bca=c:

aa b bca

Critical pair: aac=bca.

Reduce RHS:

[2](bca)
⇒ c

Defines rule #1.

Referenced by [5].

[4] bcb=cab

Overlap of [2] bca=c with [1] aab=b:

bc a aab

Critical pair: bcb=cab.

Defines rule #5.

[5] bcc=cac

Overlap of [2] bca=c with [3] aac=c:

bc a aac

Critical pair: bcc=cac.

Defines rule #4.