Certificate for #2882 ⟨a, b, c | aab=a, bca=b⟩

Completion settings:

[1] aab=a

Axiom: aab=a.

Defines rule #1.

Referenced by [3], [4].

[2] bca=b

Axiom: bca=b.

Defines rule #4.

Referenced by [3], [4].

[3] aca=a

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

aa b bca

Critical pair: aab=aca.

Reduce LHS:

[1](aab)
⇒ a

Flip LHS and RHS.

Defines rule #2.

[4] bab=b

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

bc a aab

Critical pair: bca=bab.

Reduce LHS:

[2](bca)
⇒ b

Flip LHS and RHS.

Defines rule #3.