Phitrafunck/standard combinators

Combinator	Definition	Bird name	Rank	Notes
B	S(KS)K	Bluebird	3	applicative, linear
B[1]	BBB	Blackbird		linear
B[2]	B(BBB)B	Bunting		linear
B[3]	B(BB)B	Becard		linear
C	S(BBS)(KK) or S(S(KS)(S(KK)S))(KK)	Cardinal	3	applicative, linear
D	BB	Dove		linear
D[1]	B(BB)	Dickcissel		linear
D[2]	BB(BB)	Dovekie		linear
E	B(BBB)	Eagle		linear
Ê	B(BBB)(B(BBB))	Bald eagle		linear
F	ETTET	Finch		linear
G	BBC	Goldfinch	4	applicative, linear
H	BW(BC)	Hummingbird
I	SKK	Identity bird	1	linear
J	B(BC)(W(BC(B(BBB))))	Jay bird	4	applicative, duplicative
K	K x y = x	Kestrel	2	cancellative
L	CBM or S(S(KS)K)(K(SII))	Lark	2	applicative, duplicative
M	OI or SII	Mockingbird	1	applicative, duplicative
M[2]	BM	Double mockingbird
O	SI	Owl	2	applicative, duplicative
Q	CB or S(K(S(S(KS)K)))K	Queer bird	3	applicative, linear
Q[1]	BCB	Quixotic bird		linear
Q[2]	C(BCB)	Quizzical bird		linear
Q[3]	BT	Quirky bird		linear
Q[4]	F*B	Quacky bird		linear
R	BBT or S(K(SS))(S(KK)K)	Robin	3	applicative, linear
S	S x y z = x z (y z)	Starling	3	applicative, duplicative
T	CI or S(K(SI))K	Thrush	2	applicative, linear
U	LO	Turing bird
V	BCT or S(S(KS)(S(KK)(S(KS)(S(K(SI))K))))(KK)	Vireo	3	applicative, linear
W	SS(SK) or SS(KI)	Warbler	2	applicative, duplicative
W[1]	CW	Converse warbler
Y	SLL or SSK(S(K(SS(S(SSK))))K)	Sage bird	1	duplicative
I*	S(SK)	Identity bird once removed
W*	BW	Warbler once removed
C*	BC	Cardinal once removed		linear
R*	C*C*	Robin once removed		linear
F*	BC*R*	Finch once removed		linear
V*	C*F*	Vireo once removed		linear
W**	B(BW)	Warbler twice removed
C**	BC*	Cardinal twice removed		linear
R**	BR*	Robin twice removed		linear
F**	BF*	Finch twice removed		linear
V**	BV*	Vireo twice removed		linear
θ	YO	Theta (Bird?) [unsourced]
ϕ	ϕ x y z w = x (y w) (z w);	Phoenix	4	applicative, duplicative
Ψ	Ψ x y z w = x (y z) (y w);	Psi bird	4	applicative, duplicative
ω	MM	Omega bird [unsourced]
ι	S(SI(KS))(KK)	Iota (not a bird)	1	linear