Certificate for #1760 ⟨a, b, c | aab=cb, bcc=1⟩

Completion settings:

[1] cb=aab

Axiom: aab=cb.

Flip LHS and RHS.

Referenced by [3].

[2] bcc=1

Axiom: bcc=1.

Referenced by [3], [4].

[3] c=aa

Overlap of [1] cb=aab with [2] bcc=1:

c b bcc

Critical pair: c=aabcc.

Reduce RHS:

[2]aa(bcc)
⇒ aa

Defines rule #2.

Referenced by [4].

[4] baaaa=1

Overlap of [2] bcc=1 with [3] c=aa:

b cc c

Critical pair: baac=1.

Reduce LHS:

[3]baa(c)
⇒ baaaa

Defines rule #1.