Certificate for #5363 ⟨a, b | abababa=babb⟩

Completion settings:

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

Axiom: abababa=babb.

Referenced by [3].

Axiom: babb=c.

Defines rule #4.

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

Simplify [1] abababa=babb.

Reduce RHS:

Defines rule #5.

Referenced by [5], [6].

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

Critical pair: babc=cabb.

Flip LHS and RHS.

Defines rule #3.

Overlap of [3] abababa=c with [3] abababa=c:

Critical pair: abc=cba.

Flip LHS and RHS.

Defines rule #1.

Overlap of [3] abababa=c with [2] babb=c:

Critical pair: ababac=cbb.

Flip LHS and RHS.

Defines rule #2.