Certificate for #14365 ⟨a, b | aaaa=a, bbabb=a

Completion settings:

[1] aaaa=a

Axiom: aaaa=a.

Defines rule #2.

Referenced by [4].

[2] bbabb=a

Axiom: bbabb=a.

Referenced by [3], [5].

[3] bbaa=aabb

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

bba bb bbabb

Critical pair: bbaa=aabb.

Referenced by [4].

[4] bba=abb

Overlap of [3] bbaa=aabb with [1] aaaa=a:

bb aa aaaa

Critical pair: bba=aabbaa.

Reduce RHS:

[3]aa(bbaa)
[1](aaaa)bb
abb

Defines rule #1.

Referenced by [5].

[5] abbbb=a

Overlap of [2] bbabb=a with [4] bba=abb:

bbabb bba

Critical pair: abbbb=a.

Defines rule #3.