Certificate for #8886 ⟨a, b | aa=a, abbba=ab⟩

Completion settings:

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

Axiom: aa=a.

Defines rule #1.

Referenced by [3].

Axiom: abbba=ab.

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

Overlap of [2] abbba=ab with [1] aa=a:

Critical pair: abbba=aba.

Reduce LHS:

Flip LHS and RHS.

Defines rule #2.

Referenced by [4].

Overlap of [2] abbba=ab with [3] aba=ab:

Critical pair: abbbab=abba.

Reduce LHS:

Flip LHS and RHS.

Defines rule #3.

Referenced by [5].

Overlap of [2] abbba=ab with [4] abba=abb:

Critical pair: abbbabb=abbba.

Reduce LHS:

Reduce RHS:

Defines rule #4.