Certificate for #3407 ⟨a, b, c | ac=ab, bcb=a⟩

Back:⟨a, b, c | ac=ab, bcb=a⟩

Completion settings:

[1] ac=ab

Axiom: ac=ab.

Defines rule #1.

Referenced by [3].

[2] bcb=a

Axiom: bcb=a.

Defines rule #2.

Referenced by [3].

[3] abb=bca

Overlap of [2] bcb=a with [2] bcb=a:

bc b bcb

Critical pair: bca=acb.

Reduce RHS:

[1](ac)b
⇒ abb

Flip LHS and RHS.

Defines rule #3.