Certificate for #3633 ⟨a, b | aabbaabaab=a

Completion settings:

[1] aabbaabaab=a

Axiom: aabbaabaab=a.

Referenced by [2], [3], [4], [5].

[2] aabbaaba=abaabaab

Overlap of [1] aabbaabaab=a with [1] aabbaabaab=a:

aabbaab aab aabbaabaab

Critical pair: aabbaaba=abaabaab.

Defines rule #2.

Referenced by [3], [5].

[3] abaabaabab=a

Overlap of [1] aabbaabaab=a with [2] aabbaaba=abaabaab:

aabbaabaab aabbaaba

Critical pair: abaabaabab=a.

Defines rule #4.

Referenced by [4], [5].

[4] aaabab=aabbaa

Overlap of [1] aabbaabaab=a with [3] abaabaabab=a:

aabba abaab abaabaabab

Critical pair: aabbaa=aaabab.

Flip LHS and RHS.

Defines rule #1.

[5] aaabaabab=abaabaaba

Overlap of [1] aabbaabaab=a with [3] abaabaabab=a:

aabbaaba ab abaabaabab

Critical pair: aabbaabaa=aaabaabab.

Reduce LHS:

[2](aabbaaba)a
abaabaaba

Flip LHS and RHS.

Defines rule #3.