Certificate for #163 ⟨a, b, c | aa=1, abbc=1⟩

Back:⟨a, b, c | aa=1, abbc=1⟩

Completion settings:

[1] aa=1

Axiom: aa=1.

Referenced by [3], [4].

[2] abbc=1

Axiom: abbc=1.

Referenced by [3].

[3] a=bbc

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

a a abbc

Critical pair: a=bbc.

Defines rule #2.

Referenced by [4].

[4] bbcbbc=1

Overlap of [1] aa=1 with [3] a=bbc:

aa a

Critical pair: bbca=1.

Reduce LHS:

[3]bbc(a)
⇒ bbcbbc

Defines rule #1.