Certificate for #4682 ⟨a, b | aabbaaab=abb

Completion settings:

[1] aabbaaab=abb

Axiom: aabbaaab=abb.

Defines rule #1.

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

[2] aabbaabb=abbbaaab

Overlap of [1] aabbaaab=abb with [1] aabbaaab=abb:

aabba aab aabbaaab

Critical pair: aabbaabb=abbbaaab.

Defines rule #2.

Referenced by [3], [4].

[3] abbbaaabaaab=aabbabb

Overlap of [2] aabbaabb=abbbaaab with [1] aabbaaab=abb:

aabb aabb aabbaaab

Critical pair: aabbabb=abbbaaabaaab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [5], [6].

[4] abbbaaabaabb=aabbabbbaaab

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

aabb aabb aabbaabb

Critical pair: aabbabbbaaab=abbbaaabaabb.

Flip LHS and RHS.

Defines rule #4.

[5] aabbaaaabbabb=abbbbaaabaaab

Overlap of [1] aabbaaab=abb with [3] abbbaaabaaab=aabbabb:

aabbaa ab abbbaaabaaab

Critical pair: aabbaaaabbabb=abbbbaaabaaab.

Defines rule #5.

[6] abbbaaabaaaabbabb=aabbabbbbaaabaaab

Overlap of [3] abbbaaabaaab=aabbabb with [3] abbbaaabaaab=aabbabb:

abbbaaabaa ab abbbaaabaaab

Critical pair: abbbaaabaaaabbabb=aabbabbbbaaabaaab.

Defines rule #6.