Certificate for #4773 ⟨a, b | abaaabab=bba

Completion settings:

[1] abaaabab=bba

Axiom: abaaabab=bba.

Referenced by [3].

[2] ba=c

Axiom: ba=c.

Defines rule #1.

Referenced by [3], [4].

[3] abaaabab=bc

Simplify [1] abaaabab=bba.

Reduce RHS:

[2]b(ba)
bc

Referenced by [4].

[4] bc=acaacb

Overlap of [3] abaaabab=bc with [2] ba=c:

a baaabab ba

Critical pair: acaabab=bc.

Reduce LHS:

[2]acaa(ba)b
acaacb

Flip LHS and RHS.

Defines rule #2.