Certificate for #19160 ⟨a, b | aba=b, aaaaaa=a⟩

Back:⟨a, b | aba=b, aaaaaa=a⟩

Completion settings:

[1] aba=b

Axiom: aba=b.

Referenced by [3], [4].

[2] aaaaaa=a

Axiom: aaaaaa=a.

Defines rule #1.

Referenced by [3].

[3] baaaaa=b

Overlap of [1] aba=b with [2] aaaaaa=a:

ab a aaaaaa

Critical pair: aba=baaaaa.

Reduce LHS:

[1](aba)
⇒ b

Flip LHS and RHS.

Defines rule #2.

Referenced by [4].

[4] ab=baaaa

Overlap of [1] aba=b with [3] baaaaa=b:

a ba baaaaa

Critical pair: ab=baaaa.

Defines rule #3.