Certificate for #5382 ⟨a, b | abbaaab=aaab

Completion settings:

[1] abbaaab=aaab

Axiom: abbaaab=aaab.

Referenced by [3].

[2] aaab=c

Axiom: aaab=c.

Defines rule #2.

Referenced by [3], [4], [5].

[3] abbaaab=c

Simplify [1] abbaaab=aaab.

Reduce RHS:

[2](aaab)
c

Referenced by [4].

[4] abbc=c

Overlap of [3] abbaaab=c with [2] aaab=c:

abb aaab aaab

Critical pair: abbc=c.

Defines rule #3.

Referenced by [5].

[5] aac=cbc

Overlap of [2] aaab=c with [4] abbc=c:

aa ab abbc

Critical pair: aac=cbc.

Defines rule #1.