Certificate for #3716 ⟨a, b | abaaabaaba=b⟩

Completion settings:

• Reduction order:
  • Right-to-left shortlex with a < b

Axiom: abaaabaaba=b.

Defines rule #2.

Referenced by [2], [3], [4], [7], [8].

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

Critical pair: abaaabab=baabaaba.

Defines rule #1.

Referenced by [4], [5], [6].

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

Critical pair: abaaabaabb=bbaaabaaba.

Defines rule #3.

Referenced by [6].

Overlap of [2] abaaabab=baabaaba with [1] abaaabaaba=b:

Critical pair: abaaabb=baabaabaaaabaaba.

Flip LHS and RHS.

Defines rule #7.

Referenced by [7], [8], [9], [10].

Overlap of [2] abaaabab=baabaaba with [2] abaaabab=baabaaba:

Critical pair: abaaabbaabaaba=baabaabaaaabab.

Flip LHS and RHS.

Defines rule #5.

Overlap of [2] abaaabab=baabaaba with [3] abaaabaabb=bbaaabaaba:

Critical pair: abaaabbbaaabaaba=baabaabaaaabaabb.

Flip LHS and RHS.

Defines rule #8.

Overlap of [1] abaaabaaba=b with [4] baabaabaaaabaaba=abaaabb:

Critical pair: abaaaabaaabb=babaaaabaaba.

Defines rule #4.

Overlap of [1] abaaabaaba=b with [4] baabaabaaaabaaba=abaaabb:

Critical pair: abaaabaaabaaabb=babaabaaaabaaba.

Defines rule #6.

Overlap of [4] baabaabaaaabaaba=abaaabb with [4] baabaabaaaabaaba=abaaabb:

Critical pair: baabaabaaaaabaaabb=abaaabbabaaaabaaba.

Defines rule #9.

Overlap of [4] baabaabaaaabaaba=abaaabb with [4] baabaabaaaabaaba=abaaabb:

Critical pair: baabaabaaaabaaabaaabb=abaaabbabaabaaaabaaba.

Defines rule #10.