Certificate for #1077 ⟨a, b, c | aa=1, abbbc=1⟩

Completion settings:

[1] aa=1

Axiom: aa=1.

Referenced by [3], [4].

[2] abbbc=1

Axiom: abbbc=1.

Referenced by [3].

[3] a=bbbc

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

a a abbbc

Critical pair: a=bbbc.

Defines rule #2.

Referenced by [4].

[4] bbbcbbbc=1

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

aa a

Critical pair: bbbca=1.

Reduce LHS:

[3]bbbc(a)
⇒ bbbcbbbc

Defines rule #1.