Certificate for #858 ⟨a, b | abbaaaab=b

Completion settings:

[1] abbaaaab=b

Axiom: abbaaaab=b.

Defines rule #5.

Referenced by [2], [3], [4], [5].

[2] abbaaab=bbaaaab

Overlap of [1] abbaaaab=b with [1] abbaaaab=b:

abbaaa ab abbaaaab

Critical pair: abbaaab=bbaaaab.

Defines rule #4.

Referenced by [3].

[3] abbaab=bbaaab

Overlap of [2] abbaaab=bbaaaab with [1] abbaaaab=b:

abbaa ab abbaaaab

Critical pair: abbaab=bbaaaabbaaaab.

Reduce RHS:

[1]bbaaa(abbaaaab)
bbaaab

Defines rule #3.

Referenced by [4].

[4] abbab=bbaab

Overlap of [3] abbaab=bbaaab with [1] abbaaaab=b:

abba ab abbaaaab

Critical pair: abbab=bbaaabbaaaab.

Reduce RHS:

[1]bbaa(abbaaaab)
bbaab

Defines rule #2.

Referenced by [5].

[5] abbb=bbab

Overlap of [4] abbab=bbaab with [1] abbaaaab=b:

abb ab abbaaaab

Critical pair: abbb=bbaabbaaaab.

Reduce RHS:

[1]bba(abbaaaab)
bbab

Defines rule #1.