Certificate for #16053 ⟨a, b | aaa=bb, aaba=ab⟩

Completion settings:

• Reduction order:
  • Left-to-right recursive path with deg(a) = 0; deg(b) = 1

Axiom: aaa=bb.

Flip LHS and RHS.

Defines rule #4.

Referenced by [3], [6].

Axiom: aaba=ab.

Referenced by [4], [5], [6].

Overlap of [1] bb=aaa with [1] bb=aaa:

Critical pair: baaa=aaab.

Flip LHS and RHS.

Referenced by [4], [7].

Overlap of [3] aaab=baaa with [2] aaba=ab:

Critical pair: aab=baaaa.

Referenced by [5], [7].

Overlap of [2] aaba=ab with [4] aab=baaaa:

Critical pair: baaaaa=ab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [6], [7].

Overlap of [2] aaba=ab with [5] ab=baaaaa:

Critical pair: aabbaaaaa=abb.

Reduce LHS:

Reduce RHS:

Defines rule #1.

Overlap of [3] aaab=baaa with [4] aab=baaaa:

Critical pair: abaaaa=baaa.

Reduce LHS:

Defines rule #2.