Certificate for #166 ⟨a, b, c | aa=1, abcc=1⟩

Completion settings:

[1] aa=1

Axiom: aa=1.

Referenced by [3], [4].

[2] abcc=1

Axiom: abcc=1.

Referenced by [3].

[3] a=bcc

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

a a abcc

Critical pair: a=bcc.

Defines rule #2.

Referenced by [4].

[4] bccbcc=1

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

aa a

Critical pair: bcca=1.

Reduce LHS:

[3]bcc(a)
⇒ bccbcc

Defines rule #1.