Certificate for #2892 ⟨a, b, c | aab=a, caa=c⟩

Back:⟨a, b, c | aab=a, caa=c⟩

Completion settings:

[1] aab=a

Axiom: aab=a.

Defines rule #2.

Referenced by [3], [4].

[2] caa=c

Axiom: caa=c.

Defines rule #3.

Referenced by [3], [4].

[3] cb=ca

Overlap of [2] caa=c with [1] aab=a:

c aa aab

Critical pair: ca=cb.

Flip LHS and RHS.

Defines rule #1.

[4] cab=c

Overlap of [2] caa=c with [1] aab=a:

ca a aab

Critical pair: caa=cab.

Reduce LHS:

[2](caa)
⇒ c

Flip LHS and RHS.

Defines rule #4.