Certificate for #5444 ⟨a, b | aaaa=1, abbabb=1⟩

Completion settings:

[1] aaaa=1

Axiom: aaaa=1.

Defines rule #1.

Referenced by [3], [5], [6].

[2] abbabb=1

Axiom: abbabb=1.

Referenced by [3].

[3] bbabb=aaa

Overlap of [1] aaaa=1 with [2] abbabb=1:

aaa a abbabb

Critical pair: aaa=bbabb.

Flip LHS and RHS.

Defines rule #3.

Referenced by [4].

[4] bbabaaa=aaababb

Overlap of [3] bbabb=aaa with [3] bbabb=aaa:

bbab b bbabb

Critical pair: bbabaaa=aaababb.

Defines rule #4.

Referenced by [5].

[5] aaababba=bbab

Overlap of [4] bbabaaa=aaababb with [1] aaaa=1:

bbab aaa aaaa

Critical pair: bbab=aaababba.

Flip LHS and RHS.

Referenced by [6].

[6] babba=abbab

Overlap of [1] aaaa=1 with [5] aaababba=bbab:

a aaa aaababba

Critical pair: abbab=babba.

Flip LHS and RHS.

Defines rule #2.