Certificate for #2376 ⟨a, b, c | aab=a, bbcc=1⟩

Completion settings:

[1] aab=a

Axiom: aab=a.

Defines rule #1.

Referenced by [3], [4].

[2] bbcc=1

Axiom: bbcc=1.

Defines rule #4.

Referenced by [3].

[3] abcc=aa

Overlap of [1] aab=a with [2] bbcc=1:

aa b bbcc

Critical pair: aa=abcc.

Flip LHS and RHS.

Defines rule #3.

Referenced by [4].

[4] acc=aaa

Overlap of [1] aab=a with [3] abcc=aa:

a ab abcc

Critical pair: aaa=acc.

Flip LHS and RHS.

Defines rule #2.