Certificate for #13060 ⟨a, b | baa=aab, babb=a⟩

Completion settings:

• Reduction order:
  • Left-to-right shortlex with a < b

Axiom: baa=aab.

Defines rule #1.

Referenced by [4], [6], [7], [8].

Axiom: babb=a.

Defines rule #4.

Referenced by [3], [4], [5], [7], [9].

Overlap of [2] babb=a with [2] babb=a:

Critical pair: baba=aabb.

Defines rule #3.

Referenced by [4], [5], [6], [7], [8].

Overlap of [2] babb=a with [1] baa=aab:

Critical pair: babaab=aaa.

Reduce LHS:

Referenced by [5].

Overlap of [2] babb=a with [3] baba=aabb:

Critical pair: babaabb=aaba.

Reduce LHS:

Flip LHS and RHS.

Defines rule #2.

Referenced by [6], [8], [9].

Overlap of [3] baba=aabb with [1] baa=aab:

Critical pair: baaab=aabba.

Reduce LHS:

Flip LHS and RHS.

Defines rule #5.

Overlap of [3] baba=aabb with [2] babb=a:

Critical pair: baa=aabbbb.

Reduce LHS:

Flip LHS and RHS.

Defines rule #8.

Overlap of [3] baba=aabb with [3] baba=aabb:

Critical pair: baaabb=aabbba.

Reduce LHS:

Flip LHS and RHS.

Referenced by [10].

Overlap of [5] aaba=aaab with [2] babb=a:

Critical pair: aaa=aaabbb.

Flip LHS and RHS.

Defines rule #6.

Referenced by [10].

Simplify [8] aabbba=aaabbb.

Reduce RHS:

Defines rule #7.