Certificate for #3798 ⟨a, b | abbaaaaaab=b

Completion settings:

[1] abbaaaaaab=b

Axiom: abbaaaaaab=b.

Defines rule #7.

Referenced by [2], [3], [4], [5], [6], [7].

[2] abbaaaaab=bbaaaaaab

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

abbaaaaa ab abbaaaaaab

Critical pair: abbaaaaab=bbaaaaaab.

Defines rule #6.

Referenced by [3].

[3] abbaaaab=bbaaaaab

Overlap of [2] abbaaaaab=bbaaaaaab with [1] abbaaaaaab=b:

abbaaaa ab abbaaaaaab

Critical pair: abbaaaab=bbaaaaaabbaaaaaab.

Reduce RHS:

[1]bbaaaaa(abbaaaaaab)
bbaaaaab

Defines rule #5.

Referenced by [4].

[4] abbaaab=bbaaaab

Overlap of [3] abbaaaab=bbaaaaab with [1] abbaaaaaab=b:

abbaaa ab abbaaaaaab

Critical pair: abbaaab=bbaaaaabbaaaaaab.

Reduce RHS:

[1]bbaaaa(abbaaaaaab)
bbaaaab

Defines rule #4.

Referenced by [5].

[5] abbaab=bbaaab

Overlap of [4] abbaaab=bbaaaab with [1] abbaaaaaab=b:

abbaa ab abbaaaaaab

Critical pair: abbaab=bbaaaabbaaaaaab.

Reduce RHS:

[1]bbaaa(abbaaaaaab)
bbaaab

Defines rule #3.

Referenced by [6].

[6] abbab=bbaab

Overlap of [5] abbaab=bbaaab with [1] abbaaaaaab=b:

abba ab abbaaaaaab

Critical pair: abbab=bbaaabbaaaaaab.

Reduce RHS:

[1]bbaa(abbaaaaaab)
bbaab

Defines rule #2.

Referenced by [7].

[7] abbb=bbab

Overlap of [6] abbab=bbaab with [1] abbaaaaaab=b:

abb ab abbaaaaaab

Critical pair: abbb=bbaabbaaaaaab.

Reduce RHS:

[1]bba(abbaaaaaab)
bbab

Defines rule #1.