Certificate for #243 ⟨a, b | aa=a, bab=a

Completion settings:

[1] aa=a

Axiom: aa=a.

Defines rule #1.

Referenced by [3].

[2] bab=a

Axiom: bab=a.

Referenced by [3], [4].

[3] ba=ab

Overlap of [2] bab=a with [2] bab=a:

ba b bab

Critical pair: baa=aab.

Reduce LHS:

[1]b(aa)
ba

Reduce RHS:

[1](aa)b
ab

Defines rule #2.

Referenced by [4].

[4] abb=a

Overlap of [2] bab=a with [3] ba=ab:

bab ba

Critical pair: abb=a.

Defines rule #3.