Certificate for #6486 ⟨a, b | aba=b, aaaaa=a⟩

Back:⟨a, b | aba=b, aaaaa=a⟩

Completion settings:

[1] aba=b

Axiom: aba=b.

Referenced by [3], [4].

[2] aaaaa=a

Axiom: aaaaa=a.

Defines rule #1.

Referenced by [3].

[3] baaaa=b

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

ab a aaaaa

Critical pair: aba=baaaa.

Reduce LHS:

[1](aba)
⇒ b

Flip LHS and RHS.

Defines rule #2.

Referenced by [4].

[4] ab=baaa

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

a ba baaaa

Critical pair: ab=baaa.

Defines rule #3.