Certificate for #5122 ⟨a, b, c | aa=a, abbc=b⟩

Back:⟨a, b, c | aa=a, abbc=b⟩

Completion settings:

[1] aa=a

Axiom: aa=a.

Defines rule #1.

Referenced by [3].

[2] abbc=b

Axiom: abbc=b.

Referenced by [3], [4].

[3] ab=b

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

a a abbc

Critical pair: ab=abbc.

Reduce RHS:

[2](abbc)
⇒ b

Defines rule #2.

Referenced by [4].

[4] bbc=b

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

abbc ab

Critical pair: bbc=b.

Defines rule #3.