Certificate for #889 ⟨a, b, c | aa=a, abc=b⟩

Completion settings:

[1] aa=a

Axiom: aa=a.

Defines rule #1.

Referenced by [3].

[2] abc=b

Axiom: abc=b.

Referenced by [3], [4].

[3] ab=b

Overlap of [1] aa=a with [2] abc=b:

a a abc

Critical pair: ab=abc.

Reduce RHS:

[2](abc)
⇒ b

Defines rule #2.

Referenced by [4].

[4] bc=b

Overlap of [2] abc=b with [3] ab=b:

abc ab

Critical pair: bc=b.

Defines rule #3.