#5312 ⟨a, b | aaa=ab, aab=ab⟩

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Format:	Pretty Plain
Word to reduce:
	Tips: Lowercase letters stand for generators. Spaces are ignored. Numbers repeat the previous letter, e.g. `b90`.
Reduction strategy:	Leftmost Rightmost
Path to normal form:	1 1

#	Rule	Proof
1.	a⁴ ⇒ a³	[2]
2.	ab ⇒ a³	[1]

# ab:aaa=ab,aab=ab a/b
aaaa=aaa
ab=aaa

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

4 total

Σ	#	Presentation	Mapping
10	5316	⟨a, b \| aaa=ab, aba=ab⟩	φ(a) = a, φ(b) = b
11	15982	⟨a, b \| aaa=ab, aaaa=ab⟩	φ(a) = a, φ(b) = b
11	16478	⟨a, b \| aaa=ab, aab=aaa⟩	φ(a) = a, φ(b) = b
11	16479	⟨a, b \| aaa=ab, aba=aaa⟩	φ(a) = a, φ(b) = b

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

2 total

Σ	#	Presentation	Mapping
11	16554	⟨a, b \| abb=ab, bbb=abb⟩	φ(a) = b, φ(b) = a
11	16558	⟨a, b \| bab=ab, bbb=bab⟩	φ(a) = b, φ(b) = a

Up:	Monoids with two generators and two relations
Prev:	#5311 ⟨a, b \| aaa=ab, aab=aa⟩
Next:	#5313 ⟨a, b \| aaa=ab, aab=ba⟩