Certificate for #10287 ⟨a, b | aa=1, abbab=bab

Completion settings:

[1] aa=1

Axiom: aa=1.

Defines rule #1.

Referenced by [3].

[2] abbab=bab

Axiom: abbab=bab.

Referenced by [3], [4].

[3] bbab=abab

Overlap of [1] aa=1 with [2] abbab=bab:

a a abbab

Critical pair: abab=bbab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [4].

[4] babab=bab

Overlap of [3] bbab=abab with [2] abbab=bab:

bb ab abbab

Critical pair: bbbab=ababbab.

Reduce LHS:

[3]b(bbab)
babab

Reduce RHS:

[2]ab(abbab)
[2](abbab)
bab

Defines rule #3.