Certificate for #6670 ⟨a, b, c | aa=1, abbcb=b⟩

Completion settings:

[1] aa=1

Axiom: aa=1.

Defines rule #1.

Referenced by [3].

[2] abbcb=b

Axiom: abbcb=b.

Referenced by [3], [4].

[3] bbcb=ab

Overlap of [1] aa=1 with [2] abbcb=b:

a a abbcb

Critical pair: ab=bbcb.

Flip LHS and RHS.

Defines rule #2.

Referenced by [4].

[4] bbcab=b

Overlap of [3] bbcb=ab with [3] bbcb=ab:

bbc b bbcb

Critical pair: bbcab=abbcb.

Reduce RHS:

[2](abbcb)
⇒ b

Defines rule #3.