Certificate for #815 ⟨a, b | aabbaaba=b

Completion settings:

[1] aabbaaba=b

Axiom: aabbaaba=b.

Defines rule #1.

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

[2] aabbaabb=babbaaba

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

aabbaab a aabbaaba

Critical pair: aabbaabb=babbaaba.

Defines rule #2.

Referenced by [3], [4].

[3] babbaabaaaba=aabbb

Overlap of [2] aabbaabb=babbaaba with [1] aabbaaba=b:

aabb aabb aabbaaba

Critical pair: aabbb=babbaabaaaba.

Flip LHS and RHS.

Defines rule #4.

Referenced by [5], [6].

[4] babbaabaaabb=aabbbabbaaba

Overlap of [2] aabbaabb=babbaaba with [2] aabbaabb=babbaaba:

aabb aabb aabbaabb

Critical pair: aabbbabbaaba=babbaabaaabb.

Flip LHS and RHS.

Defines rule #5.

[5] aabbaaaabbb=bbbaabaaaba

Overlap of [1] aabbaaba=b with [3] babbaabaaaba=aabbb:

aabbaa ba babbaabaaaba

Critical pair: aabbaaaabbb=bbbaabaaaba.

Defines rule #3.

[6] babbaabaaaaabbb=aabbbbbaabaaaba

Overlap of [3] babbaabaaaba=aabbb with [3] babbaabaaaba=aabbb:

babbaabaaa ba babbaabaaaba

Critical pair: babbaabaaaaabbb=aabbbbbaabaaaba.

Defines rule #6.