Certificate for #24682 ⟨a, b | aa=a, abbbba=ab⟩

Completion settings:

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

Axiom: aa=a.

Defines rule #1.

Referenced by [3].

Axiom: abbbba=ab.

Referenced by [3], [4], [5], [6].

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

Critical pair: abbbba=aba.

Reduce LHS:

Flip LHS and RHS.

Defines rule #2.

Referenced by [4].

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

Critical pair: abbbbab=abba.

Reduce LHS:

Flip LHS and RHS.

Defines rule #3.

Referenced by [5], [6].

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

Critical pair: abbbbabb=abbba.

Reduce LHS:

Flip LHS and RHS.

Defines rule #4.

Overlap of [4] abba=abb with [4] abba=abb:

Critical pair: abbabb=abbbba.

Reduce LHS:

Reduce RHS:

Defines rule #5.