XXIIVV

The Ornithodex is the reference manual of common combinator birds.

Color-coded for the Bekimet, Becekew and Sekei forests.

AbstractionSymbolBirdCombinator
λabc.a(bc)BBluebirdS(KS)K
λabcd.a(bcd)B1BlackbirdBBB
λabcde.a(bcde)B2BuntingB(BBB)B
λabcd.a(b(cd))B3BecardB(BB)B
λabc.acbCCardinalS(BBS)(KK)
λabcd.ab(cd)DDoveBB
λabcde.abc(de)D1DickcisselB(BB)
λabcde.a(bc)(de)D2DovekiesBB(BB)
λabcde.ab(cde)EEagleB(BBB)
λabcdefg.a(bcd)(efg)ÊBald EagleB(BBB)(B(BBB))
λabc.cbaFFinchETTET
λabcd.ad(bc)GGoldfinchBBC
λabc.abcbHHummingbirdBW(BC)
λa.aIIdiot(Identity)SKK
λabcd.ab(adc)JJayB(BC)(W(BC(B(BBB))))
λab.aKKestrel (True)
λab.bKIKite (False)KI
λab.a(bb)LLarkCBM
λabcd.a(bd)(cd)NNightingaleB(BS)B
λa.aaMMockingbirdSII
λab.ab(ab)M2Double MockingbirdBM
λab.b(ab)OOwlSI
λabc.b(ac)QQueer BirdCB
λabc.a(cb)Q1Quixotic BirdBCB
λabc.b(ca)Q2Quizzical BirdC(BCB)
λabc.c(ab)Q3Quirky BirdBT
λabc.c(ba)Q4Quacky BirdF*B
λabc.bcaRRobinBBT
λabc.ac(bc)SStarlingS
λab.baTThrushCI
λab.b(aab)UTuringLO
λabc.cabVVireo (aka Pairing)BCT
λab.abbWWarblerC(BMR)
λab.baaW1Converse WarblerCW
λa.a(λa)YWhy Bird (aka Sage Bird)SLL
λab.abI*Identity Bird Once RemovedS(SK)
λabc.abccW*Warbler Once RemovedBW
λabcd.abdcC*Cardinal Once RemovedBC
λabcd.acdbR*Robin Once RemovedC*C*
λabcd.adcbF*Finch Once RemovedBC*R*
λabcd.acbdV*Vireo Once RemovedC*F*
λabcd.abcddW**Warbler Twice RemovedB(BW)
λabcde.abcedC**Cardinal Twice RemovedBC*
λabcde.abdecR**Robin Twice RemovedBR*
λabcde.abedcF**Finch Twice RemovedBF*
λabcde.abecdV**Vireo Twice RemovedBV*
λab.bbKMKonstant MockerKM
λab.aaC(KM)Crossed Konstant MockerC(KM)