Certificate for #22315 ⟨a, b | aaa=1, babbbb=ab⟩

Completion settings:

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

Axiom: aaa=1.

Defines rule #4.

Referenced by [7], [8], [18].

Axiom: babbbb=ab.

Referenced by [3], [4], [5], [6], [9], [10], [11], [12], [13], [14], [15], [16], [17].

Overlap of [2] babbbb=ab with [2] babbbb=ab:

Critical pair: babbbab=ababbbb.

Reduce RHS:

Referenced by [4], [7].

Overlap of [3] babbbab=aab with [2] babbbb=ab:

Critical pair: babbab=aabbbb.

Referenced by [5].

Overlap of [4] babbab=aabbbb with [2] babbbb=ab:

Critical pair: babab=aabbbbbbb.

Referenced by [6], [7].

Overlap of [5] babab=aabbbbbbb with [2] babbbb=ab:

Critical pair: baab=aabbbbbbbbbb.

Defines rule #3.

Overlap of [5] babab=aabbbbbbb with [3] babbbab=aab:

Critical pair: baaab=aabbbbbbbbbab.

Reduce LHS:

Flip LHS and RHS.

Referenced by [8].

Overlap of [1] aaa=1 with [7] aabbbbbbbbbab=bb:

Critical pair: abb=bbbbbbbbbab.

Flip LHS and RHS.

Referenced by [9].

Overlap of [8] bbbbbbbbbab=abb with [2] babbbb=ab:

Critical pair: bbbbbbbbab=abbbbb.

Referenced by [10].

Overlap of [9] bbbbbbbbab=abbbbb with [2] babbbb=ab:

Critical pair: bbbbbbbab=abbbbbbbb.

Referenced by [11].

Overlap of [10] bbbbbbbab=abbbbbbbb with [2] babbbb=ab:

Critical pair: bbbbbbab=abbbbbbbbbbb.

Referenced by [12].

Overlap of [11] bbbbbbab=abbbbbbbbbbb with [2] babbbb=ab:

Critical pair: bbbbbab=abbbbbbbbbbbbbb.

Referenced by [13].

Overlap of [12] bbbbbab=abbbbbbbbbbbbbb with [2] babbbb=ab:

Critical pair: bbbbab=abbbbbbbbbbbbbbbbb.

Referenced by [14].

Overlap of [13] bbbbab=abbbbbbbbbbbbbbbbb with [2] babbbb=ab:

Critical pair: bbbab=abbbbbbbbbbbbbbbbbbbb.

Referenced by [15].

Overlap of [14] bbbab=abbbbbbbbbbbbbbbbbbbb with [2] babbbb=ab:

Critical pair: bbab=abbbbbbbbbbbbbbbbbbbbbbb.

Referenced by [16].

Overlap of [15] bbab=abbbbbbbbbbbbbbbbbbbbbbb with [2] babbbb=ab:

Critical pair: bab=abbbbbbbbbbbbbbbbbbbbbbbbbb.

Defines rule #2.

Referenced by [17].

Overlap of [2] babbbb=ab with [16] bab=abbbbbbbbbbbbbbbbbbbbbbbbbb:

Critical pair: abbbbbbbbbbbbbbbbbbbbbbbbbbbbb=ab.

Referenced by [18].

Overlap of [1] aaa=1 with [17] abbbbbbbbbbbbbbbbbbbbbbbbbbbbb=ab:

Critical pair: aaab=bbbbbbbbbbbbbbbbbbbbbbbbbbbbb.

Reduce LHS:

Flip LHS and RHS.

Defines rule #1.