Certificate for #3014 ⟨a, b, c | aba=a, acb=c⟩

Completion settings:

[1] aba=a

Axiom: aba=a.

Defines rule #1.

Referenced by [3].

[2] acb=c

Axiom: acb=c.

Defines rule #3.

Referenced by [3].

[3] abc=c

Overlap of [1] aba=a with [2] acb=c:

ab a acb

Critical pair: abc=acb.

Reduce RHS:

[2](acb)
⇒ c

Defines rule #2.