Certificate for #2311 ⟨a, b | abaabab=bba

Completion settings:

[1] abaabab=bba

Axiom: abaabab=bba.

Referenced by [3].

[2] ba=c

Axiom: ba=c.

Defines rule #1.

Referenced by [3], [4].

[3] abaabab=bc

Simplify [1] abaabab=bba.

Reduce RHS:

[2]b(ba)
bc

Referenced by [4].

[4] bc=acacb

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

a baabab ba

Critical pair: acabab=bc.

Reduce LHS:

[2]aca(ba)b
acacb

Flip LHS and RHS.

Defines rule #2.