Certificate for #4031 ⟨a, b | aaabbabba=ab⟩

Completion settings:

• Reduction order:
  • Right-to-left recursive path with deg(a) = deg(c) = 0, a < c; deg(b) = 1
• Auxiliary generators:
  1. abb=c

Axiom: aaabbabba=ab.

Referenced by [3].

Axiom: abb=c.

Referenced by [3], [4].

Overlap of [1] aaabbabba=ab with [2] abb=c:

Critical pair: aacabba=ab.

Reduce LHS:

Flip LHS and RHS.

Defines rule #3.

Referenced by [4], [5].

Overlap of [2] abb=c with [3] ab=aacca:

Critical pair: aaccab=c.

Reduce LHS:

Defines rule #2.

Referenced by [5], [6].

Overlap of [4] aaccaacca=c with [3] ab=aacca:

Critical pair: aaccaaccaacca=cb.

Reduce LHS:

Flip LHS and RHS.

Defines rule #4.

Overlap of [4] aaccaacca=c with [4] aaccaacca=c:

Critical pair: aaccc=cacca.

Defines rule #1.