plurigrid catp: Categorical Pipes
Trit: +1 (PLUS)
Principle: Balanced data flows through morphism chains
Algebra: GF(3) flow conservation
Why GF(3)?
Three-phase data flow:
- Source (-1): Read/Fetch ingestion
- Transform (0): Shape-preserving operations
- Sink (+1): Write/Output operations
Sum must = 0 (mod 3) for balanced pipeline.
Operations by Trit
| Trit | Category | Operations |
|---|---|---|
| -1 | MINUS (Sources) | slurp, read, fetch, query, search, list |
| 0 | ERGODIC (Transforms) | map, filter, select, rename, mutate, reduce, join, group-by |
| +1 | PLUS (Sinks) | println, print, write, save, spit, create, send |
Usage
# Check balance of a pipe
bb catp.bb --check '(->> [1 2 3] (map inc) (filter odd?) (reduce +))'
# Output:
# Operations: map %>% filter %>% reduce
# Trits: {"map" 0, "filter" 0, "reduce" 0}
# Sum: 0 (mod 3 = 0)
# GF(3) Balanced: ✓
Example: Unbalanced Pipeline
;; WRONG: Two transforms, one sink (missing source)
(->> (map inc) ; 0
(filter odd?) ; 0
(reduce +)) ; 0
; Sum: 0 ✓ (looks balanced but logically missing source!)
Example: Properly Balanced
;; CORRECT: Source → Transform → Sink
(->> [1 2 3] ; implicit source (-1)
(map inc) ; transform (0)
(filter odd?) ; transform (0)
(println)) ; sink (+1)
; GF(3): -1 + 0 + 0 + 1 = 0 ✓
End-of-Skill Interface
Integration Points
- babashka (->> threading)
- drive-acset (query chains)
- l-space (narrative pipes)
- dplyr %>% (R interop)
Autopoietic Marginalia
The interaction IS the skill improving itself.
Every use of this skill is an opportunity for worlding:
- MEMORY (-1): Record what was learned
- REMEMBERING (0): Connect patterns to other skills
- WORLDING (+1): Evolve the skill based on use
Add Interaction Exemplars here as the skill is used.