Active Interleave Skill

Interleaves context from recently active Claude/Amp threads into current activity via random walk.

bmorphism Contributions

"all is bidirectional" — @bmorphism, Play/Coplay gist

Active Inference Pattern: The interleave implements Active Inference in String Diagrams epistemic foraging — actively sampling from recent contexts to minimize uncertainty about the current task. Each random walk step is an epistemic action that gathers information.

Play/Coplay Duality: The interleave embodies bmorphism's bidirectional principle:

• Play (action): Query recent threads, walk the awareness graph
• Coplay (perception): Integrate fragments, update current context

GF(3) Balanced Exploration: The triadic structure (MINUS/ERGODIC/PLUS) ensures balanced exploration — validation filters (MINUS), random walk explores (ERGODIC), and colored emission generates (PLUS). Conservation Σ = 0 maintains coherence.

Activation

Load when context from recent work would help current task.

Usage

# Interleave from last 24 hours
bb ~/.claude/skills/active-interleave/active.bb

# Interleave from last N hours
bb ~/.claude/skills/active-interleave/active.bb --hours 6

# Query-focused interleave
bb ~/.claude/skills/active-interleave/active.bb --query "aptos blockchain"

# JSON output
bb ~/.claude/skills/active-interleave/active.bb --json

Behavior

1. MINUS (-1): Validate recency window, filter to active threads only
2. ERGODIC (0): Random walk through recent sessions following awareness edges
3. PLUS (+1): Emit interleaved fragments with GF(3) coloring

GF(3) Conservation

Each interleave batch maintains Σ trits ≡ 0 (mod 3).

Integration

Call from current thread to surface relevant recent context:

;; In any bb script
(require '[babashka.process :refer [shell]])
(def context (-> (shell {:out :string} "bb" (str (System/getProperty "user.home") 
                 "/.claude/skills/active-interleave/active.bb") "--json")
                 :out))

Schema

Reads from

~/worldnet/cognition.duckdb

:

• messages

  - Content with timestamps

• sessions

  - Session metadata

• awareness_edges

  - Play/coplay graph

• temporal_index

  - Time-ordered index

Scientific Skill Interleaving

This skill connects to the K-Dense-AI/claude-scientific-skills ecosystem:

Graph Theory

• networkx [○] via bicomodule
  • Universal graph hub

Bibliography References

• general

  : 734 citations in bib.duckdb

SDF Interleaving

This skill connects to Software Design for Flexibility (Hanson & Sussman, 2021):

Primary Chapter: 6. Layering

Concepts: layered data, metadata, provenance, units

GF(3) Balanced Triad

active-interleave (−) + SDF.Ch6 (+) + [balancer] (○) = 0

Skill Trit: -1 (MINUS - verification)

Secondary Chapters

• Ch4: Pattern Matching
• Ch7: Propagators
• Ch10: Adventure Game Example

Connection Pattern

Layering adds metadata. This skill tracks provenance or annotations.

Cat# Integration

This skill maps to Cat# = Comod(P) as a bicomodule in the equipment structure:

Trit: 0 (ERGODIC)
Home: Prof
Poly Op: ⊗
Kan Role: Adj
Color: #26D826

GF(3) Naturality

The skill participates in triads satisfying:

(-1) + (0) + (+1) ≡ 0 (mod 3)

This ensures compositional coherence in the Cat# equipment structure.