From fb0d0b91bfd45d1911e993ca753d81da5e60f60c Mon Sep 17 00:00:00 2001
From: tslil <tslil@posteo.de>
Date: Sat, 21 Mar 2026 15:10:05 +0000
Subject: fixing evaluation semantics

---
 rprt.md | 30 +++++++++++++++---------------
 1 file changed, 15 insertions(+), 15 deletions(-)

(limited to 'rprt.md')

diff --git a/rprt.md b/rprt.md
index 12449ca..31349dd 100644
--- a/rprt.md
+++ b/rprt.md
@@ -75,32 +75,32 @@ The buffer axis (rank 3) is the **leading axis**: operations on rank 3 selection
 A **train** is a sequence of functions that compose according to specific rules, following [APL train syntax](https://aplwiki.com/wiki/Train).
 
 **2-train (Atop)** `F G`:
-- Niladic: `(F G) = F (G)`
-- Monadic: `(F G) ω = F (G ω)`
-- Dyadic: `α (F G) ω = F (α G ω)`
+- Niladic: `F G` = (F) G`; `F` is evaluated niladically and `G` is evaluated monadically on the result
+- Monadic: `ω (F G) = (ω F) G`
+- Dyadic: `ω (F G) α = (ω F α) G`
 
 **3-train (Fork)** `F G H`:
-- Niladic: `(F G H) = (F) G (H)`
-- Monadic: `(F G H) ω = (F ω) G (H ω)`
-- Dyadic: `α (F G H) ω = (α F ω) G (α H ω)`
+- Niladic: `F G H` = `(F) G (H)`; `F`, `H` are evaluated niladically and `G` is evaluated dyadically on the result
+- Monadic: `ω (F G H) = (ω F) G (ω H)`
+- Dyadic: `ω (F G H) α = (ω F α) G (ω H α)`
 
-**Longer trains**: Parsed right-associatively. A train of n functions is parsed by taking the rightmost 3 functions as a fork (if n is odd and ≥3) or the rightmost 2 functions as atop (if n is even), then recursively parsing the remaining functions as the left part. For example:
-- 4 functions `F G H I` → `F (G H I)` (atop of F with a fork)
-- 5 functions `F G H I J` → `(F G) (H I J)` (atop of an atop with a fork)
+**Longer trains**: Parsed left-associatively. A train of n functions is parsed by taking the leftmost 3 functions as a fork (if n is odd and ≥3) or the leftmost 2 functions as atop (if n is even), then recursively parsing the remaining functions as the right part. For example:
+- 4 functions `F G H I` → `(F G H) I` (I atop a fork)
+- 5 functions `F G H I J` → `(F G H) (I J)` (atop, atop a fork)
 
 ### Hooks
 
 RPRT provides two explicit hook combinators from BQN for flexible function composition:
 
 **Before (Left Hook)** `F>G`:
-- Niladic: `(F>G) = (F) G`
-- Monadic: `(F>G) ω = (F ω) G ω`
-- Dyadic: `α (F>G) ω = (F α) G ω`
+- Niladic: `F>G = (F) G`; `F` is evaluated niladically and `G` is evaluated monadically on the result
+- Monadic: `ω (F>G) = (ω F) G ω`
+- Dyadic: `ω (F>G) α = (ω F) G α`
 
 **After (Right Hook)** `F<G`:
-- Niladic: `(F<G) = F (G)`
-- Monadic: `(F<G) ω = ω F (G ω)`
-- Dyadic: `α (F<G) ω = α F (G ω)`
+- Niladic: `F<G = ???` TODO: undefined?
+- Monadic: `ω (F<G) = ω F (G ω)`
+- Dyadic: `ω (F<G) α = ω F (G α)`
 
 These combinators bind more tightly than trains and enable partial application patterns. Hooks are **right-associative**, the _opposite_ of BQN's modifier associativity: `F<G<H` parses as `F<(G<H)`.
 
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