Certificate for #5314 ⟨a, b, c | ab=a, acaa=c⟩

Back:⟨a, b, c | ab=a, acaa=c⟩

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] acaa=c

Axiom: acaa=c.

Defines rule #3.

Referenced by [3], [4].

[3] cb=c

Overlap of [2] acaa=c with [1] ab=a:

aca a ab

Critical pair: acaa=cb.

Reduce LHS:

[2](acaa)
⇒ c

Flip LHS and RHS.

Defines rule #2.

[4] ccaa=acac

Overlap of [2] acaa=c with [2] acaa=c:

aca a acaa

Critical pair: acac=ccaa.

Flip LHS and RHS.

Defines rule #4.