Certificate for #19057 ⟨a, b | aab=b, bbaaaa=b

Completion settings:

[1] aab=b

Axiom: aab=b.

Defines rule #2.

Referenced by [3].

[2] bbaaaa=b

Axiom: bbaaaa=b.

Referenced by [3], [4], [5].

[3] bbb=bb

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

bbaa aa aab

Critical pair: bbaab=bb.

Reduce LHS:

[1]bb(aab)
bbb

Referenced by [4].

[4] bb=b

Overlap of [3] bbb=bb with [2] bbaaaa=b:

b bb bbaaaa

Critical pair: bb=bbaaaa.

Reduce RHS:

[2](bbaaaa)
b

Defines rule #1.

Referenced by [5].

[5] baaaa=b

Overlap of [2] bbaaaa=b with [4] bb=b:

bbaaaa bb

Critical pair: baaaa=b.

Defines rule #3.