Certificate for #5332 ⟨a, b, c | ab=a, acca=c⟩

Back:⟨a, b, c | ab=a, acca=c⟩

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] acca=c

Axiom: acca=c.

Defines rule #3.

Referenced by [3], [4].

[3] cb=c

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

acc a ab

Critical pair: acca=cb.

Reduce LHS:

[2](acca)
⇒ c

Flip LHS and RHS.

Defines rule #2.

[4] ccca=accc

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

acc a acca

Critical pair: accc=ccca.

Flip LHS and RHS.

Defines rule #4.