Certificate for #3897 ⟨a, b | aaaabaaaa=ab⟩

Completion settings:

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

Axiom: aaaabaaaa=ab.

Referenced by [3].

Axiom: ab=c.

Defines rule #5.

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

Simplify [1] aaaabaaaa=ab.

Reduce RHS:

Referenced by [4].

Overlap of [3] aaaabaaaa=c with [2] ab=c:

Critical pair: aaacaaaa=c.

Defines rule #3.

Referenced by [5], [6], [7], [8].

Overlap of [4] aaacaaaa=c with [2] ab=c:

Critical pair: aaacaaac=cb.

Flip LHS and RHS.

Defines rule #6.

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

Critical pair: aaacac=ccaaaa.

Flip LHS and RHS.

Defines rule #1.

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

Critical pair: aaacaac=cacaaaa.

Flip LHS and RHS.

Defines rule #2.

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

Critical pair: aaacaaac=caacaaaa.

Flip LHS and RHS.

Defines rule #4.