Certificate for #5616 ⟨a, b, c | aa=a, aab=cc⟩

Completion settings:

[1] aa=a

Axiom: aa=a.

Defines rule #1.

Referenced by [2], [3].

[2] ab=cc

Axiom: aab=cc.

Reduce LHS:

[1](aa)b
⇒ ab

Defines rule #2.

Referenced by [3].

[3] acc=cc

Overlap of [1] aa=a with [2] ab=cc:

a a ab

Critical pair: acc=ab.

Reduce RHS:

[2](ab)
⇒ cc

Defines rule #3.