---

name: abductive-repl description: "Hypothesis-Test Loops via REPL for Exploratory Abductive Inference with Gay.jl colors"

abductive-repl

Hypothesis-Test Loops via REPL for Exploratory Abductive Inference

Version: 1.1.0 (music-topos enhanced) Trit: 0 (Ergodic - coordinates inference) Bundle: repl

Overview

Abductive-REPL enables exploratory abductive reasoning through an interactive REPL. Given observed outcomes, it generates hypotheses, tests them, and refines understanding through iterative loops.

Core Concept

Observation → Generate Hypotheses → Test → Refine → Repeat

Abduction: Given effect E and rule "A implies E",
           hypothesize A as possible cause.

Enhanced Integration: Interpreters

Julia (Gay.jl) - Primary

# Start abductive REPL with Gay.jl
julia --project=Gay.jl -e 'using Gay; Gay.repl()'

# In REPL:
gay> !abduce 216 125 157
# Searches invader space for color match

Hy (HyJAX) - Secondary

;; thread_relational_hyjax.hy integration
(import lib.thread_relational_hyjax :as tra)

(defn abduce-from-color [r g b]
  "Abduce invader ID from observed RGB"
  (let [target [r g b]
        analyzer (tra.ThreadRelationalAnalyzer)]
    ;; Search hypothesis space
    (lfor id (range 1 10000)
          :if (color-match? id target 0.05)
          {:hypothesis id :confidence (- 1.0 (color-distance id target))})))

Babashka (bb) - Scripting

;; abductive_repl.bb
(require '[babashka.process :refer [shell]])

(defn abduce [observed-color]
  (let [result (shell {:out :string} 
                      "julia" "--project=Gay.jl" "-e"
                      (format "using Gay; Gay.abduce(RGB(%s))" 
                              (clojure.string/join "," observed-color)))]
    (parse-hypotheses (:out result))))

REPL Commands Enhanced

Command	Description	Interpreter
!teleport <id>	Jump to invader's world state	Julia
!abduce r g b	Infer invader from observed RGB	Julia/Hy
!test [n]	Run n abductive roundtrip tests	Julia
!hy-analyze	Run HyJAX relational analysis	Hy
!bb-export	Export hypotheses via Babashka	Babashka

Properties (Testable Predicates)

# world_broadcast.rb integration
module AbductiveProperties
  def self.spi_determinism(id, seed)
    # Same input always produces same output
    c1 = WorldBroadcast::CondensedAnima.liquid_norm([id], r: 0.5)
    c2 = WorldBroadcast::CondensedAnima.liquid_norm([id], r: 0.5)
    c1 == c2
  end
  
  def self.abductive_roundtrip(id, seed)
    # Forward → Abduce → Verify
    forward = CondensedAnima.analytic_stack([id])
    cellular = CondensedAnima.to_cellular_sheaf(forward)
    cellular[:vertices].include?(id)
  end
end

GF(3) Triad Integration

Trit	Skill	Role
-1	slime-lisp	Validates REPL expressions
0	abductive-repl	Coordinates inference
+1	cider-clojure	Generates evaluations

Conservation: (-1) + (0) + (+1) = 0 ✓

Justfile Recipes

# Start abductive REPL
abduce-repl:
    julia --project=Gay.jl -e 'using Gay; Gay.repl()'

# Run via Hy
abduce-hy:
    uv run hy -c '(import lib.thread_relational_hyjax) (print "HyJAX ready")'

# Babashka roundtrip test
abduce-bb-test n="100":
    bb -e '(println "Abductive tests:" {{n}})'

Related Skills

• world-hopping - Possible world navigation
• unworld - Derivation chains
• gay-mcp - Color generation
• condensed-analytic-stacks - 6-functor sheaf bridge