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authorConor Hoekstra <codereport@outlook.com>2022-08-02 19:10:52 -0400
committerConor Hoekstra <codereport@outlook.com>2022-08-02 19:10:52 -0400
commitbbe787fc41bd6e88d97d277ef481cec023b7d279 (patch)
treeb7ea1342a4a9c31529976514d8bc5eada6a08cbe
parente219af48401473a7bac49bdd8b89d69082cf5dd8 (diff)
Update to phi(1)
-rw-r--r--doc/birds.md4
1 files changed, 2 insertions, 2 deletions
diff --git a/doc/birds.md b/doc/birds.md
index 54311148..26c122c6 100644
--- a/doc/birds.md
+++ b/doc/birds.md
@@ -19,10 +19,10 @@ Some people consider it reasonable to name [combinators](primitive.md#modifiers)
| `⟜` | Starling | `S` | ~Dove | `D`-like: `labcd.ac(bd)` |
| `˜` | Warbler | `W` | Cardinal | `C` |
| `k G H` | Dove | `D` | Eagle | `E` |
-| `F G H` | Phoenix | `S'` | Golden Eagle | `Ê`-like: `labcde.a(bde)(cde)` |
+| `F G H` | Phoenix | `Φ` | Pheasant | `Φ₁` |
Lambda calculus doesn't have BQN's polymorphism on one or two arguments, so each BQN combinator corresponds to two lambda calculus forms depending on the number of arguments, giving the two columns of birds above.
Inputs are mapped to lambda calculus arguments according to the ordering `𝔽𝔾𝕨𝕩`, and `GFH` for a 3-train `F G H`. For example, when I write that the combination `𝕨 𝔽˜ 𝕩` corresponds to a call of `C` or `labc.acb`, `a` is `𝔽` and `bc` are `𝕨𝕩`.
-The name "Golden Eagle" is a [fever dream](https://nitter.net/code_report/status/1440208242529882112#m) of bird enthusiast Conor Hoekstra, who saw it emerge disordered from the Bald Eagle when arguments `fg` are set equal to `cd`.
+Note that the name "Pheasant" comes from [Hoekstra 2022](https://github.com/codereport/Content/blob/main/Publications/Combinatory_Logic_and_Combinators_in_Array_Languages.pdf). It was previously nicknamed ["Golden Eagle"](https://nitter.net/code_report/status/1440208242529882112#m) before Conor discovered Haskell Curry had introduced this combinator in his 1931 paper [The universal quantifier in combinatory logic](https://www.jstor.org/stable/1968422).