Agent Skills: Learn

Learn

λ(ο,Κ,Σ).τ' — Knowledge compounds, schema evolves.

Navigation

INDEX | schema

Concepts: homoiconicity, compound-interest, topology, vertex-sharing, convergence, fixed-point

Phases: 1-parse → 2-route → 3-execute → 4-assess → 5-refactor → 6-compound → 7-renormalize

Domains: learning, coding, research, writing, meta

Related Skills: λ (lambda-skill) — shares compound loop, topology validation, vertex-sharing

Pipeline

ο → PARSE → ROUTE → EXECUTE → ASSESS → REFACTOR → COMPOUND → RENORMALIZE → τ'

PARSE → ROUTE → EXECUTE → ASSESS → REFACTOR → COMPOUND → RENORMALIZE

Invariants

| Invariant | Expression | Reference | |-----------|------------|-----------| | Κ-monotonicity | len(Κ') ≥ len(Κ) | knowledge-monotonicity | | Topology | η ≥ 4 | topology-invariants | | Homoiconicity | Σ.can_process(Σ) | homoiconicity | | Integration | shared_vertices ≠ ∅ | vertex-sharing |

Workflow Routing

| Workflow | Trigger | File | |----------|---------|------| | Parse | "extract intent", "understand request" | phases/1-parse.md | | Route | "classify complexity", "select pipeline" | phases/2-route.md | | Execute | "apply skills", "run pipeline" | phases/3-execute.md | | Assess | "evaluate outcome", "measure quality" | phases/4-assess.md | | Refactor | "improve structure", "optimize" | phases/5-refactor.md | | Compound | "extract learnings", "crystallize" | phases/6-compound.md | | Renormalize | "prune noise", "compress" | phases/7-renormalize.md |

Examples

Example 1: After debugging session

User: "That fixed the auth bug. Let's capture what we learned."
→ Invokes Compound phase
→ Extracts: symptom, root cause, solution, prevention
→ Crystallizes learning with vertex-sharing to PKM
→ Returns: Learning artifact saved to K

Example 2: Skill improvement

User: "/learn improve the grounding-router skill"
→ Invokes full pipeline: Parse → Route (R2) → Execute → Assess → Refactor
→ Applies topology validation (η≥4)
→ Returns: Improved skill with preserved invariants

Example 3: Reflection on session

User: "/reflect on this coding session"
→ Invokes Assess → Compound → Renormalize
→ Extracts patterns, antipatterns, principles
→ Returns: Session learnings integrated into K

Integration with λ (lambda-skill)

This skill extends lambda-skill with:

• Additional phases: Assess, Refactor, Renormalize (beyond λ's 6 stages)
• Schema evolution: Σ→Σ' (λ only evolves K)
• Shared invariants: η≥4, KROG, vertex-sharing

-- λ (lambda) core
λ(ο,K).τ = emit ∘ validate ∘ compose ∘ execute(K) ∘ route ∘ parse

-- Learn extends with schema evolution
λ(ο,Κ,Σ).τ' = renormalize ∘ compound ∘ refactor ∘ assess ∘ execute ∘ route ∘ parse

Quick Reference

λ(ο,Κ,Σ).τ'    Parse→Route→Execute→Assess→Refactor→Compound→Renormalize
Κ grows        Σ evolves        η≥4 preserved        vertex-sharing enforced