Certificate for #1345 ⟨a, b, c | ab=1, bacc=c⟩

Completion settings:

[1] ab=1

Axiom: ab=1.

Defines rule #1.

Referenced by [3].

[2] bacc=c

Axiom: bacc=c.

Referenced by [3], [4].

[3] acc=ac

Overlap of [1] ab=1 with [2] bacc=c:

a b bacc

Critical pair: ac=acc.

Flip LHS and RHS.

Referenced by [4], [5].

[4] bac=c

Overlap of [2] bacc=c with [3] acc=ac:

b acc acc

Critical pair: bac=c.

Defines rule #3.

Referenced by [5].

[5] cc=c

Overlap of [4] bac=c with [3] acc=ac:

b ac acc

Critical pair: bac=cc.

Reduce LHS:

[4](bac)
⇒ c

Flip LHS and RHS.

Defines rule #2.