Import natural spec

Importing Natural Language Specifications into VDM-SL

Read a Markdown requirements document and convert it to a VDM-SL formal specification through interactive dialogue. The key challenge is that natural language is inherently ambiguous — this skill systematically identifies and resolves those ambiguities rather than silently guessing.

MD形式の自然言語仕様をVDM-SL形式仕様に変換する。自然言語の曖昧さを対話的に解消しながら、 漏れのない形式仕様を構築する。

Why This Skill Exists

The define-contract skill builds VDM-SL from scratch through Q&A. The extract-spec skill extracts VDM-SL from existing source code.

This skill fills the gap between them: the user already has a written specification (requirements document, design doc, API spec, etc.) but it's in natural language, not code. Rather than starting from zero or from code, we start from the document and systematically formalize it.

Dialogue Flow

Step 1: Read and Parse the Document

Ask the user for the MD file path (or accept it from the conversation context).

Read the file and identify its structure:

• Headings → potential module/agent boundaries
• Bullet lists → requirements, constraints, rules
• Numbered lists → sequential operations, workflows
• Tables → data models, field definitions
• Code blocks → existing type definitions, API schemas, examples
• Bold/italic text → emphasis on important constraints

Produce a structural summary for the user:

📄 Document Analysis: requirements.md

Found:
  Sections:        5 (potential modules/agents)
  Requirements:    23 bullet points
  Data models:     2 tables
  Constraints:     7 explicitly stated
  Examples:        3 code blocks

Identified agents/modules:
  1. "User Management" (lines 5-45)
  2. "Order Processing" (lines 47-120)
  3. "Payment Gateway" (lines 122-180)

Present this to the user and confirm the scope before proceeding.

Step 2: Requirement Classification

For each requirement found in the document, classify it:

Category	VDM-SL Mapping	Example from document
Data definition	types	"A user has name, email, and role"
Constraint	inv	"Email must be unique"
Operation	operations / functions	"The system shall allow users to register"
Pre-condition	pre	"Only active users can place orders"
Post-condition	post	"After payment, order status becomes confirmed"
State	state	"The system maintains a list of all orders"
Business rule	Combination of inv + pre + post	"Users cannot order more than their credit limit"

Some requirements will map cleanly. Others won't — and that's where the real value is.

Step 3: Ambiguity Detection

This is the critical step. Natural language hides ambiguity in many forms. Scan every requirement for these patterns:

Vague quantifiers — "several", "many", "a few", "some" → Ask: What's the exact number or range?

Undefined terms — Domain-specific words without definition → Ask: What exactly does "active user" mean? What states can a user be in?

Implicit constraints — Requirements that assume things not stated → Ask: "Users can place orders" — can they place orders for other users? → Ask: Is there a limit on concurrent orders?

Missing error cases — Happy path described but not the sad path → Ask: What happens when payment fails? When the item is out of stock?

Ambiguous relationships — "associated with", "related to", "linked" → Ask: Is this 1:1, 1:N, or N:N? Who owns the relationship?

Temporal ambiguity — "before", "after", "during", "when" → Ask: Is this a strict ordering? What about concurrent actions?

Boundary conditions — "up to", "at least", "maximum" → Ask: Is the boundary inclusive or exclusive? What happens at the boundary?

For each ambiguity, create a tagged question:

[AMBIGUOUS] Line 34: "Users can have multiple addresses"
  Question: Is there a maximum number of addresses per user?
  Options:
    a) No limit (seq of Address)
    b) Maximum N (seq of Address, inv addrs == len addrs <= N)
    c) At least one required (seq1 of Address)
  Current assumption: No limit (option a)

Step 4: Interactive Resolution

Present the ambiguities to the user in priority order:

1. Blocking — Cannot generate any VDM-SL without this answer (e.g., what are the states in a state machine?)
2. Important — Affects pre/post-conditions or invariants (e.g., is this constraint inclusive or exclusive?)
3. Clarifying — Would make the spec more precise (e.g., is there an upper limit on this list?)

Use AskUserQuestion for efficient resolution. Group related questions when possible to reduce dialogue rounds. Present options where you can infer them, but always include a "something else" option.

After each batch of answers, summarize what was decided:

✅ Decisions recorded:
  - Address limit: No maximum, but at least one required (seq1 of Address)
  - User states: <ACTIVE> | <SUSPENDED> | <DELETED>
  - Order cancellation: Only allowed in <PENDING> state

It's fine to cycle through multiple rounds. Complex documents may need 3-5 rounds of clarification before the VDM-SL is complete.

Step 5: VDM-SL Generation

Generate the VDM-SL specification from the resolved requirements. Follow the same type mapping rules as define-contract (Step 2 of that skill).

Structure the output clearly:

module AgentName
-- Generated from: requirements.md
-- Source sections: "User Management" (lines 5-45)
-- Resolved ambiguities: 4 (see generation log)

definitions

types
  -- [REQ-001] "A user has name, email, and role"
  User :: name   : seq1 of char
          email  : Email
          role   : Role
  inv u == len u.name <= 100;

  -- [REQ-002] "Users can be active, suspended, or deleted"
  Role = <ADMIN> | <USER> | <VIEWER>

state UserSystem of
  users : map UserId to User
  -- [REQ-003] "Email must be unique across all users"
  inv mk_UserSystem(users) ==
    forall u1, u2 in set rng users &
      u1 <> u2 => u1.email <> u2.email
end

operations
  -- [REQ-004] "The system shall allow users to register"
  RegisterUser(name: seq1 of char, email: Email, role: Role) res: UserId
    pre email not in set {u.email | u in set rng users}
    post res in set dom users~ and users(res).email = email;

Each VDM-SL element should trace back to its source requirement with a [REQ-nnn] tag and the original natural language text as a comment. This traceability is essential — it lets the user verify that nothing was lost or invented in the translation.

Step 6: Gap Analysis

After generating the initial VDM-SL, perform a gap analysis:

Forward check — Does every requirement in the MD have a corresponding VDM-SL element? List any requirements that couldn't be formalized (e.g., UI requirements, performance NFRs).

Backward check — Does the VDM-SL contain anything not traceable to a requirement? If so, it was inferred — flag it for user confirmation.

Completeness check — Are there operations without pre-conditions? Types without invariants? State without initialization?

Present the gap analysis to the user:

📊 Gap Analysis:

Requirements covered:     19/23 (82.6%)
Requirements not covered:  4
  - REQ-010: "The UI should be responsive" (non-functional, cannot formalize)
  - REQ-015: "Performance should be acceptable" (vague, needs quantification)
  - REQ-018: "Integration with external payment API" (external dependency)
  - REQ-022: "Logging and monitoring" (infrastructure concern)

Inferred elements:         2
  - inv on OrderState: assumed orders cannot return to PENDING once CONFIRMED
  - pre on CancelOrder: assumed only order owner can cancel

Missing elements:          1
  - No initialization operation defined for UserSystem state

Step 7: Finalize and Connect

Save the generated VDM-SL file and inform the user about next steps:

1. Verify — Use verify-spec to run syntax/type checks and generate proof obligations
2. Refine — Use refine-spec if further dialogue is needed on specific parts
3. Generate — Use generate-code to produce TypeScript/Python implementation
4. Full pipeline — Use integrated-workflow to run verify → prove → generate → test

Also generate a brief traceability matrix (as a comment block or separate MD file) mapping each requirement ID to its VDM-SL element.

Important Notes

• Never silently resolve ambiguity. Every interpretation choice must be presented to the user. The whole point of formalization is making the implicit explicit.
• Preserve the user's domain terminology. If the document says "patron" instead of "user", use Patron in the VDM-SL type names. The spec should feel familiar to domain experts.
• Non-functional requirements (performance, scalability, UI) cannot be formalized in VDM-SL. Acknowledge them, list them as out-of-scope, and move on — don't try to force them into types.
• Large documents (50+ requirements) benefit from incremental generation: produce one module at a time, confirm with the user, then proceed to the next.
• If the document contains contradictory requirements, flag them immediately. Contradictions in natural language specs are common and valuable to catch early.
• For VDM-SL syntax guidance, refer to the formal-methods-guide skill.