#408 ⟨a, b | abbaaab=b⟩

Properties

Sum of relation sides is 8
Infinite non-cancellative non-commutative monoid
Element a has infinite order
Not right cancellative, because right multiplication by b is not injective:
- ab²a³ ⋅ b = b and 1 ⋅ b = b, however ab²a³ ≠ 1

Format:	Pretty Plain
Word:
	Enter a word above to compute its normal form. Tips: Lowercase letters stand for generators. Spaces are ignored. Numbers repeat the previous letter, e.g. `b90`.
Strategy:	Leftmost Rightmost
Result:	1 1

# ab:abbaaab=b ba - -
abbb=bbab
abbab=bbaab
abbaab=bbaaab
abbaaab=b

The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.

1 total

Σ	#	Presentation	Mapping
10	1778	⟨a, b \| ababaaaab=b⟩	φ(a) = a, φ(b) = bbaaab