Certificate for #4806 ⟨a, b | abaabbba=abb⟩

Completion settings:

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

Axiom: abaabbba=abb.

Referenced by [3].

Axiom: abb=c.

Defines rule #1.

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

Simplify [1] abaabbba=abb.

Reduce RHS:

Referenced by [4].

Overlap of [3] abaabbba=c with [2] abb=c:

Critical pair: abacba=c.

Defines rule #2.

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

Overlap of [4] abacba=c with [2] abb=c:

Critical pair: abacbc=cbb.

Flip LHS and RHS.

Defines rule #3.

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

Critical pair: abacbc=cbacba.

Flip LHS and RHS.

Defines rule #4.

Referenced by [7], [8].

Overlap of [4] abacba=c with [6] cbacba=abacbc:

Critical pair: abaabacbc=ccba.

Defines rule #5.

Overlap of [6] cbacba=abacbc with [6] cbacba=abacbc:

Critical pair: cbaabacbc=abacbccba.

Defines rule #6.