Certificate for #14483 ⟨a, b | aaab=b, aabab=a⟩

Back:⟨a, b | aaab=b, aabab=a⟩

Completion settings:

[1] aaab=b

Axiom: aaab=b.

Defines rule #3.

Referenced by [3], [4].

[2] aabab=a

Axiom: aabab=a.

Referenced by [3], [5].

[3] bab=aa

Overlap of [1] aaab=b with [2] aabab=a:

a aab aabab

Critical pair: aa=bab.

Flip LHS and RHS.

Defines rule #1.

Referenced by [4], [5].

[4] baaa=b

Overlap of [3] bab=aa with [3] bab=aa:

ba b bab

Critical pair: baaa=aaab.

Reduce RHS:

[1](aaab)
⇒ b

Defines rule #4.

[5] aaaa=a

Overlap of [2] aabab=a with [3] bab=aa:

aa bab bab

Critical pair: aaaa=a.

Defines rule #2.