Certificate for #1732 ⟨a, b | aabbbaaba=b

Completion settings:

[1] aabbbaaba=b

Axiom: aabbbaaba=b.

Defines rule #1.

Referenced by [2], [3], [5].

[2] aabbbaabb=babbbaaba

Overlap of [1] aabbbaaba=b with [1] aabbbaaba=b:

aabbbaab a aabbbaaba

Critical pair: aabbbaabb=babbbaaba.

Defines rule #2.

Referenced by [3], [4].

[3] babbbaababaaba=aabbbb

Overlap of [2] aabbbaabb=babbbaaba with [1] aabbbaaba=b:

aabbb aabb aabbbaaba

Critical pair: aabbbb=babbbaababaaba.

Flip LHS and RHS.

Defines rule #4.

Referenced by [5], [6].

[4] babbbaababaabb=aabbbbabbbaaba

Overlap of [2] aabbbaabb=babbbaaba with [2] aabbbaabb=babbbaaba:

aabbb aabb aabbbaabb

Critical pair: aabbbbabbbaaba=babbbaababaabb.

Flip LHS and RHS.

Defines rule #5.

[5] aabbbaaaabbbb=bbbbaababaaba

Overlap of [1] aabbbaaba=b with [3] babbbaababaaba=aabbbb:

aabbbaa ba babbbaababaaba

Critical pair: aabbbaaaabbbb=bbbbaababaaba.

Defines rule #3.

[6] babbbaababaaaabbbb=aabbbbbbbaababaaba

Overlap of [3] babbbaababaaba=aabbbb with [3] babbbaababaaba=aabbbb:

babbbaababaa ba babbbaababaaba

Critical pair: babbbaababaaaabbbb=aabbbbbbbaababaaba.

Defines rule #6.