Certificate for #2451 ⟨a, b, c | aab=b, caaa=1⟩

Back:⟨a, b, c | aab=b, caaa=1⟩

Completion settings:

[1] aab=b

Axiom: aab=b.

Defines rule #2.

Referenced by [3], [4].

[2] caaa=1

Axiom: caaa=1.

Defines rule #4.

Referenced by [3], [4].

[3] cab=b

Overlap of [2] caaa=1 with [1] aab=b:

ca aa aab

Critical pair: cab=b.

Defines rule #3.

[4] cb=ab

Overlap of [2] caaa=1 with [1] aab=b:

caa a aab

Critical pair: caab=ab.

Reduce LHS:

[1]c(aab)
⇒ cb

Defines rule #1.