Certificate for #19141 ⟨a, b | aba=a, baaaab=b

Completion settings:

[1] aba=a

Axiom: aba=a.

Defines rule #1.

Referenced by [3], [4].

[2] baaaab=b

Axiom: baaaab=b.

Referenced by [3], [5].

[3] aaaab=ab

Overlap of [1] aba=a with [2] baaaab=b:

a ba baaaab

Critical pair: ab=aaaab.

Flip LHS and RHS.

Referenced by [4].

[4] aaaa=a

Overlap of [3] aaaab=ab with [1] aba=a:

aaa ab aba

Critical pair: aaaa=aba.

Reduce RHS:

[1](aba)
a

Defines rule #3.

Referenced by [5].

[5] bab=b

Overlap of [2] baaaab=b with [4] aaaa=a:

b aaaab aaaa

Critical pair: bab=b.

Defines rule #2.