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Fpf problem solving

Skill CodeAlive-AI/ai-driven-development/skills/fpf-problem-solving

Use First Principles Framework (FPF) to think through hard problems, architect systems, evaluate alternatives, decompose complexity, classify problems or kinds, define quality, apply a pattern, decide under uncertainty, establish causality, reason about time and trends, synthesize architecture, check model fit, recover project/process/case/system/role subjects, trace outside-use dependencies, distinguish relations or occurrences, govern ontic/U-kind admission, synthesize source ontologies, assemble framework publication forms, develop capability for named work, publish multi-view artifacts, refresh SoTA packs, or trace provenance. Also triggers on: FPF, bounded contexts, SoTA packs, assurance calculus, decision theory, causal/temporal reasoning, architecture, modularity, transformation-flow networks, narrative rendering, structural adequacy, cultural evolution, quality gates, lexical discipline, FPF Parts A-I. Not for simple task planning, general philosophy, or Agile unrelated to FPF.From its SKILL.md

Install
npx -y skills add CodeAlive-AI/ai-driven-development --skill fpf-problem-solving

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SKILL.md

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First Principles Framework (FPF)

An "Operating System for Thought" — a transdisciplinary architecture for reasoning, written in human- and machine-readable pseudo-code. FPF turns raw intelligence (human or machine) into organisationally usable reasoning: explicit bounded contexts, auditable artefacts, multi-view descriptions, and disciplined hand-offs between specialised actors.

Use cases

Use FPF whenever you need to think more rigorously than the situation's default.

  • Decompose a messy, cross-domain problem into parts that can be reasoned about independently
  • Make a high-stakes decision with incomplete evidence — and know what evidence is still missing
  • Get a mixed team to reason together without vocabulary collisions or hidden assumptions
  • Audit whether a conclusion is well-founded or just plausible
  • Transform or transfer an insight without losing its subject, precision, or stated limitations
  • Structure a proposal that must survive scrutiny from multiple expert perspectives
  • Generate alternatives systematically instead of anchoring on the first idea
  • Define what "better" means before comparing options
  • Classify what kind of problem you're facing before searching for solutions
  • Plan how an AI agent should select and sequence its tools under budget and trust constraints
  • Make a decision under uncertainty — identify options, weigh evidence, and commit with an auditable rationale
  • Establish whether X causes Y — or just correlates — and determine what intervention would work
  • Publish a stable multi-view artifact without changing the source semantics
  • Assemble or check a public framework publication form while preserving product-specific bodies and references
  • Develop a holder system's capability for a named Work family and verify transfer in representative Work
  • Synthesize source ontologies for one bounded authoring decision without flattening their local meanings
  • Refresh a SoTA pack, benchmark, or evidence trail when evidence decays or telemetry changes
  • Synthesize architecture candidates, compare structural options, or repair modularity/reuse claims
  • Detect an ontic candidate, decide its first-use disposition, and govern whether a new concept or U-kind should be introduced instead of just renamed
  • Identify the exact system that acts or is intended to change, then trace a lost path from outside use to architecture, production, and recursive builders
  • Apply one selected FPF pattern to a current question and stop at the first useful result

How to navigate

The use cases above help decide WHETHER to invoke FPF. The router below decides WHERE to go once invoked.

Step 1 — Match the thinking need to a starting point

What you need to doStart here
Decompose a complex whole into bounded parts05 Part A → A.1 Holons, A.1.1 Bounded Contexts, A.14 Mereology
Identify and trace the acting or changed system, then find the first unsupported dependency from outside use through recursive builders05 Part A → A.1.SCR System Recognition, A.1.STM System-Thinking Long Mantra; 03 FPF Readme → Recover a Lost Path
Assign system roles and responsibilities, recover what “role” means, check permission, or distinguish production work from the identity and completion of its product05 Part A → A.2 System Role Kinds and Assignments, A.2.8.PER Permission; 11 Part E → E.10.ROLE Role Meaning Recovery; 07 A.V → A.15 Role-Method-Work Alignment, A.15.PROD Production Work
Recover what project, process, or case language directly refers to before modeling it07 A.V → A.15.6 Project, Process, and Case Recovery
Set boundaries on what statements mean, distinguish relations from their individuated occurrences, or derive a missing relation claim06 Signature Stack → A.6.B boundary norms, A.6.REL relation obtaining and occurrences, A.6.RCD relation-claim derivation, declarations, gates, duties, and evidence
Prevent category errors or reconcile ontology premises before extending the framework07 Constitutional Principles → A.7 Strict Distinction, A.7.1 Consequence-Guided Ontological Problem Solving, A.7.2 Premise Reconciliation, A.7.CP Constructive Premise Compact
Evaluate confidence in a claim or artifact — including formality, scope, and reliability of the underlying knowledge08 Part B → B.3 Trust & Assurance; 09 Part C → C.2 KD-CAL / F-G-R scoring, C.2.2 Reliability, C.2.3 Formality
Compose parts into wholes preserving properties08 Part B → B.1 Gamma algebra; 09 Part C → C.13 Compose-CAL, C.20 Discipline-CAL
Reason through a problem systematically08 Part B → B.5 Reasoning Cycle, B.5.2 Abductive Loop
Enter and apply FPF: choose a practical entry, find results across a DPF suite, or apply one pattern to a first useful result03 FPF Readme → Practical Entries; 11 Part E → E.11.DSG DPF Suite Guide, E.11.PUA Pattern Use
Generate alternatives / explore solution space and keep apparatus use bounded09 Part C → C.17 Creativity-CHR, C.18 Open-Ended Search, C.19 Explore-Exploit, C.19.2 Use-Bounded Apparatus Application
Measure and compare options rigorously07 A.V → A.17-A.19 Characteristics, CSLC & SelectorMechanism; 09 Part C → C.16 MM-CHR; 13 Part G → G.9 Parity / Benchmark Harness
Resolve conflicts across stakeholders or values10 Part D → Ethics, bias audit, conflict optimization
Unify vocabulary or synthesize source ontologies across teams or domains without flattening source-local claims12 Part F → F.0.2 Conceptual Synthesis, concept sets, bridges, UTS, lexical continuity
Transform, document, publish, and reuse epistemes, views, or frameworks while preserving subjects and product-specific bodies06 A.IV.A → A.6.2-A.6.4 episteme morphing/viewing/retargeting, A.6.3.NAR narrative rendering; 11 Part E → E.4.PFIP Publication Integration, E.11.PFP Publication Form Profile, E.17 Multi-View Publication Kit
Sharpen expression — repair vague wording, recover exact method/work relations hidden by input-result-handoff language, surface ambiguity, or restore precision of epistemic / measurement / architecture terms06 A.IV.A → A.6.P.WMR Exact Relation Recovery, A.6.H Wholeness Unpacking; 11 Part E → E.10.ARCH, E.17.EFP; 09 Part C → C.2.P, C.16.P, C.30.P
Decide under uncertainty — structure options, weigh evidence, commit with auditable rationale09 Part C → C.11 Decsn-CAL
Reason about time and change — distinguish state readings, trends, currentness, and intervention-sensitive change09 Part C → C.27 Temporal Claim Adequacy, C.27.TA Temporal Aspect
Establish causality — climb the causality ladder, identify causal structure, check realizability09 Part C → C.28 CausalUse-CAL
Check mathematical or modeling fit — assess whether a formal lens / math model is adequate for the problem09 Part C → C.29 Mathematical Lens Use
Describe architecture or structural views — characterize structure, unfold constraint-governed structure, produce adequate architectural descriptions and view types, triage cross-scope architectural residuals07 A.V → A.22 STRUCT-CAL, A.22.CGUS; 09 Part C → C.30, C.30.AD, C.30.ASV, C.30.LCA, C.30.ILC, C.30.TFS-REL
Connect transformation flows without collapsing independent structures into one flow or project11 Part E → E.18.NET Network of Transformation-Flow Structures
Synthesize architecture candidates or reconcile several non-isomorphic structures of one practice, then assess modularity/reuse or publish ADR-style projections09 Part C → C.31 Modularity, C.32 Architecture Candidate Synthesis, C.32.MWA Practice Architecture, C.32.PAD, C.32.ADR, C.32.ADA
Assess structural information — check architecture capture, source return, equivalence, morphisms, or discovery adequacy09 Part C → C.33, C.34, C.35
Model context-dependent or indeterminate states — represent superposed, probe-coupled, or viability-bounded behaviour09 Part C → C.26 Quantum-Like Modeling Lens, C.26.1 Probe-Coupled Boundary, C.26.2 Enacted Distributed State, C.26.3 Viability-Envelope
Survey a discipline and build, ship, or refresh a reusable toolkit13 Part G → G.1-G.13 SoTA kit, CG-Frame, dispatcher, benchmarks, shipping, telemetry refresh, dashboards, external interop; 09 Part C → C.21 Discipline-CHR
Classify a problem type, test whether a candidate is admissible for a kind judgment, or compare kind identity before claiming a cross-local correspondence09 Part C → C.22 Problem-CHR, C.22.PFR Problematic-For Relation, C.3 Kind-CAL, C.3.2 Kind Judgment, C.3.3 KindBridge
Define quality attributes ("-ilities") as structured bundles09 Part C → C.25 Q-Bundle; 07 A.V → A.17-A.19 Characteristics
Govern ontology — detect an ontic candidate, decide its first-use disposition, and determine whether a new concept or U-kind is warranted11 Part E → E.24 Ontic Introduction Discipline, E.24.CD Ontic Candidate Detection and First-Use Disposition, E.24.UK U-kind Admission and Ontic Settlement
Develop capability for a named Work family and test whether improvement transfers beyond an exercise11 Part E → E.23.CDI Developing Capability for a Named Work Family
Reason about cultural evolution — describe cultural-evolution engineering or repair cultural-evolution wording09 Part C → C.36 Cultural Evolution, C.36.P Precision Restoration
Orchestrate agentic tool use under budgets and trust gates09 Part C → C.24 Agent-Tools-CAL
Trace provenance of a claim or detect refresh debt07 A.V → A.10 Evidence Graph; 13 Part G → G.6 Provenance Ledger, G.11 Telemetry-Driven Refresh & Decay

For complex problems, follow paths across multiple sections — the router shows where to start, not where to stop.

Step 2 — Read the _index.md, then the sub-section

  1. Open the _index.md of the target section folder — it lists all sub-sections with line counts and descriptions.
  2. Read only the specific sub-section file you need.
  3. Do NOT load entire sections. Pick the narrowest file that serves the user's question.

Step 3 — Apply in plain language

Use plain language for the user. Introduce FPF-internal names (U.Holon, Gamma, F-G-R) only when they add precision the user needs.

Step 4 — Compose findings across sections

When a problem draws from multiple sections:

  1. State each pattern's contribution in one line (e.g., "Bounded Contexts gives us the parts; Trust Calculus scores our confidence in each").
  2. If patterns from different sections appear to conflict, check for category errors via A.7 Strict Distinction — the conflict is usually a level confusion (role vs. function, method vs. work), not a real contradiction.
  3. Synthesize in natural order: decomposition first (what are the parts?), then evaluation (how confident are we?), then resolution (what do we do about gaps?).
  4. Do not just list FPF patterns — weave them into a coherent answer to the user's actual question.

Starter prompt (example — adapt to the user's actual role and need)

You have the FPF specification loaded. Help me structure my project / problem / programme. Use plain language for an engineer-manager. Propose: (1) bounded contexts / specialisations, (2) decision criteria, (3) key alternatives, (4) hand-offs, and (5) missing evidence or tests before commitment. Introduce internal FPF names only when they add precision.

Section INDEX

Structural reference. Each entry is a folder — read its _index.md first, then pick the sub-section.

#SectionSubWhen to use
01Title page0Identify: title, authorship, version date, top-level identity.
02Table of Contents0Navigate: locate a pattern, keyword, query cue, dependency, or neighboring section.
03FPF Readme10Enter, onboard, and recover: choose a practical entry, understand what each part contributes, connect transformation flows, or recover a lost path from outside use to recursive builders.
04Preface21Orient: read philosophy, adoption storylines, uncertainty posture, and purpose/non-goals.
05Part A — Kernel24Decompose, identify, trace, assign, and authorize: holons, bounded contexts, acting/changed-system recognition, outside-use dependency tracing, roles, permission distinctions, transformers, method/work separation.
06A.IV.A — Signatures27Set boundaries, derive relations, transform epistemes, and render: distinguish relations from occurrences; recover exact method/work and under-specified service/access relations; derive needed relation claims; keep source, receiving episteme, arrow, use claim, work, and publication distinct; classify statements or render structure faithfully.
07A.V — Principles42Prevent confusion and recover direct subjects: category errors, ontology premises, project/process/case language, production-work identity and completion, measuring, comparing, evidence graphs, mechanism suites, transformation-step constraint validity, independent-check gate decisions, constraint-governed unfolding.
08Part B — Reasoning25Compose and evaluate: structural views (STRUCT-CAL), aggregation (Gamma), trust scores, emergence, reasoning cycles.
09Part C — Extensions76Score, search, and architect: epistemic quality, typed reasoning, measurement, decisions, bounded apparatus use, temporal/causal/math lenses, architecture synthesis across non-isomorphic practice structures, structural adequacy, cultural evolution.
10Part D — Ethics5Resolve conflicts: ethical trade-offs, bias auditing, safety overrides, conflict optimization.
11Part E — Constitution and Authoring63Enter, apply, develop, govern, reuse, and publish: practical entry and pattern use, DPF-suite navigation, framework publication forms and preservation, capability development for named Work, edition continuity, multi-view publication, transformation-flow networks, pattern quality, ontic/U-kind governance.
12Part F — Unification22Synthesize and align: bounded conceptual synthesis across source ontologies, concept sets, sense cells, bridges, system-role descriptions, UTS, lexical continuity.
13Part G — SoTA Kit15Harvest and refresh disciplines: SoTA Packs, CG-Frames, dispatchers, provenance ledgers, benchmark harnesses, shipping, telemetry refresh, dashboards, external interop.
14Part H — Reserved0Reserve: preserve the upstream Part H position for future specification content.
15Part I — Annexes1Walk through: expanded entry disambiguation cases for high-risk or repeatedly misclassified first-pattern choices.

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