Certificate for #5172 ⟨a, b | aababaa=baab⟩

Completion settings:

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

Axiom: aababaa=baab.

Referenced by [3].

Axiom: baab=c.

Defines rule #1.

Referenced by [3], [4], [6], [7].

Simplify [1] aababaa=baab.

Reduce RHS:

Defines rule #2.

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

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

Critical pair: baac=caab.

Flip LHS and RHS.

Defines rule #5.

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

Critical pair: aababac=cababaa.

Flip LHS and RHS.

Defines rule #6.

Overlap of [3] aababaa=c with [2] baab=c:

Critical pair: aabac=cb.

Flip LHS and RHS.

Defines rule #3.

Overlap of [2] baab=c with [3] aababaa=c:

Critical pair: bc=cabaa.

Flip LHS and RHS.

Defines rule #4.