Certificate for #2935 ⟨a, b, c | aab=b, bca=a⟩

Back:⟨a, b, c | aab=b, bca=a⟩

Completion settings:

[1] aab=b

Axiom: aab=b.

Defines rule #2.

Referenced by [3], [4].

[2] bca=a

Axiom: bca=a.

Defines rule #3.

Referenced by [3], [4].

[3] aaa=a

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

aa b bca

Critical pair: aaa=bca.

Reduce RHS:

[2](bca)
⇒ a

Defines rule #1.

[4] bcb=b

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

bc a aab

Critical pair: bcb=aab.

Reduce RHS:

[1](aab)
⇒ b

Defines rule #4.