Certificate for #1243 ⟨a, b, c | aa=1, abcb=b⟩

Completion settings:

[1] aa=1

Axiom: aa=1.

Defines rule #1.

Referenced by [3].

[2] abcb=b

Axiom: abcb=b.

Referenced by [3], [4].

[3] bcb=ab

Overlap of [1] aa=1 with [2] abcb=b:

a a abcb

Critical pair: ab=bcb.

Flip LHS and RHS.

Defines rule #2.

Referenced by [4].

[4] bcab=b

Overlap of [3] bcb=ab with [3] bcb=ab:

bc b bcb

Critical pair: bcab=abcb.

Reduce RHS:

[2](abcb)
⇒ b

Defines rule #3.