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Schema Version 3

Morphir IR JSON Schema for format version 3 (Current)

Morphir IR Schema - Version 3

Format version 3 is the current version of the Morphir IR format. It uses capitalized tags throughout for consistency and clarity.

Overview

Version 3 of the Morphir IR format standardizes on capitalized tags for all constructs. This provides a consistent naming convention across the entire IR structure.

Key Characteristics

Tag Capitalization

All tags in version 3 are capitalized:

  • Distribution: "Library"
  • Access Control: "Public" and "Private"
  • Type Tags: "Variable", "Reference", "Tuple", "Record", etc.
  • Value Tags: "Apply", "Lambda", "LetDefinition", etc.
  • Pattern Tags: "AsPattern", "WildcardPattern", "ConstructorPattern", etc.
  • Literal Tags: "BoolLiteral", "StringLiteral", "WholeNumberLiteral", etc.

Core Concepts

Naming System

The Morphir IR uses a sophisticated naming system independent of any specific naming convention.

Name

A Name represents a human-readable identifier made up of one or more words.

  • Structure: Array of lowercase word strings
  • Purpose: Atomic unit for all identifiers
  • Example: ["value", "in", "u", "s", "d"] renders as valueInUSD or value_in_USD
Name:
  type: array
  items:
    type: string
    pattern: "^[a-z][a-z0-9]*$"
  minItems: 1

Path

A Path represents a hierarchical location in the IR structure.

  • Structure: List of Names
  • Purpose: Identifies packages and modules
  • Example: [["morphir"], ["s", "d", "k"], ["string"]] for the String module
Path:
  type: array
  items:
    $ref: "#/definitions/Name"
  minItems: 1

Fully-Qualified Name (FQName)

Provides globally unique identifiers for types and values.

  • Structure: [packagePath, modulePath, localName]
  • Purpose: Unambiguous references across package boundaries
FQName:
  type: array
  minItems: 3
  maxItems: 3
  items:
    - $ref: "#/definitions/PackageName"
    - $ref: "#/definitions/ModuleName"
    - $ref: "#/definitions/Name"

Access Control

AccessControlled

Manages visibility of types and values.

  • Structure: {access, value}
  • Access levels: "Public" (visible externally) or "Private" (package-only)
  • Purpose: Controls API exposure
AccessControlled:
  type: object
  required: ["access", "value"]
  properties:
    access:
      type: string
      enum: ["Public", "Private"]
    value:
      description: "The value being access controlled."

Distribution and Package Structure

Distribution

A Distribution represents a complete, self-contained package with all dependencies.

  • Current type: Library (only supported distribution type)
  • Structure: ["Library", packageName, dependencies, packageDefinition]
  • Purpose: Output of compilation process, ready for execution or transformation
distribution:
  type: array
  minItems: 4
  maxItems: 4
  items:
    - type: string
      const: "Library"
    - $ref: "#/definitions/PackageName"
    - $ref: "#/definitions/Dependencies"
    - $ref: "#/definitions/PackageDefinition"

Package Definition

Complete implementation of a package with all details.

  • Contains: All modules (public and private)
  • Includes: Type signatures and implementations
  • Purpose: Full package representation for processing

Package Specification

Public interface of a package.

  • Contains: Only publicly exposed modules
  • Includes: Only type signatures, no implementations
  • Purpose: Dependency interface

Module Structure

Module Definition

Complete implementation of a module.

  • Contains: All types and values (public and private) with implementations
  • Structure: Dictionary of type names to AccessControlled type definitions, and value names to AccessControlled value definitions
  • Purpose: Complete module implementation

Module Specification

Public interface of a module.

  • Contains: Only publicly exposed types and values
  • Includes: Type signatures only, no implementations
  • Purpose: Module’s public API

Type System

The type system is based on functional programming principles, supporting:

Type Expressions

Variable

Represents a type variable (generic parameter).

  • Structure: ["Variable", attributes, name]
  • Example: The a in List a
  • Purpose: Enables polymorphic types
VariableType:
  type: array
  minItems: 3
  maxItems: 3
  items:
    - const: "Variable"
    - $ref: "#/definitions/Attributes"
    - $ref: "#/definitions/Name"

Reference

Reference to another type or type alias.

  • Structure: ["Reference", attributes, fqName, typeArgs]
  • Examples: String, List Int, Maybe a
  • Purpose: References built-in types, custom types, or type aliases
ReferenceType:
  type: array
  minItems: 4
  maxItems: 4
  items:
    - const: "Reference"
    - $ref: "#/definitions/Attributes"
    - $ref: "#/definitions/FQName"
    - type: array
      items:
        $ref: "#/definitions/Type"

Tuple

Composition of multiple types in fixed order.

  • Structure: ["Tuple", attributes, elementTypes]
  • Example: (Int, String, Bool)
  • Purpose: Product types with positional access

Record

Composition of named fields with types.

  • Structure: ["Record", attributes, fields]
  • Example: {firstName: String, age: Int}
  • Purpose: Product types with named field access
  • Note: All fields are required

Function

Function type representation.

  • Structure: ["Function", attributes, argType, returnType]
  • Example: Int -> String
  • Purpose: Represents function and lambda types
  • Note: Multi-argument functions use currying (nested Function types)

Type Specifications

TypeAliasSpecification

An alias for another type.

  • Structure: ["TypeAliasSpecification", typeParams, aliasedType]
  • Example: type alias UserId = String
  • Purpose: Meaningful name for type expression

CustomTypeSpecification

Tagged union type (sum type).

  • Structure: ["CustomTypeSpecification", typeParams, constructors]
  • Example: type Result e a = Ok a | Err e
  • Purpose: Choice between multiple alternatives

OpaqueTypeSpecification

Type with unknown structure.

  • Structure: ["OpaqueTypeSpecification", typeParams]
  • Characteristics: Structure hidden, no automatic serialization
  • Purpose: Encapsulates implementation details

Value System

All data and logic in Morphir are represented as value expressions.

Value Expressions

Literal

Literal constant value.

  • Structure: ["Literal", attributes, literal]
  • Types: BoolLiteral, CharLiteral, StringLiteral, WholeNumberLiteral, FloatLiteral, DecimalLiteral
  • Purpose: Represents constant data

Variable

Reference to a variable in scope.

  • Structure: ["Variable", attributes, name]
  • Example: References to function parameters or let-bound variables
  • Purpose: Accesses values bound in current scope

Reference

Reference to a defined value (function or constant).

  • Structure: ["Reference", attributes, fqName]
  • Example: Morphir.SDK.List.map, Basics.add
  • Purpose: Invokes or references defined functions

Apply

Function application.

  • Structure: ["Apply", attributes, function, argument]
  • Example: add 1 2 (nested Apply nodes for currying)
  • Purpose: Invokes functions with arguments

Lambda

Anonymous function.

  • Structure: ["Lambda", attributes, argumentPattern, body]
  • Example: \x -> x + 1
  • Purpose: Creates inline functions

LetDefinition

Let binding introducing a single value.

  • Structure: ["LetDefinition", attributes, bindingName, definition, inExpr]
  • Example: let x = 5 in x + x
  • Purpose: Introduces local bindings

IfThenElse

Conditional expression.

  • Structure: ["IfThenElse", attributes, condition, thenBranch, elseBranch]
  • Example: if x > 0 then "positive" else "non-positive"
  • Purpose: Conditional logic

PatternMatch

Pattern matching with multiple cases.

  • Structure: ["PatternMatch", attributes, valueToMatch, cases]
  • Example: case maybeValue of Just x -> x; Nothing -> 0
  • Purpose: Conditional logic based on structure

Patterns

Used for destructuring and filtering values.

WildcardPattern

Matches any value without binding.

  • Structure: ["WildcardPattern", attributes]
  • Syntax: _
  • Purpose: Ignores a value

AsPattern

Binds a name to a matched value.

  • Structure: ["AsPattern", attributes, nestedPattern, variableName]
  • Special case: Simple variable binding uses AsPattern with WildcardPattern
  • Purpose: Captures matched values

ConstructorPattern

Matches specific type constructor and arguments.

  • Structure: ["ConstructorPattern", attributes, fqName, argPatterns]
  • Example: Just x matches Just with pattern x
  • Purpose: Destructures and filters tagged unions

Literals

BoolLiteral

Boolean literal.

  • Structure: ["BoolLiteral", boolean]
  • Values: true or false
BoolLiteral:
  type: array
  minItems: 2
  maxItems: 2
  items:
    - const: "BoolLiteral"
    - type: boolean

StringLiteral

Text string literal.

  • Structure: ["StringLiteral", string]
  • Example: "hello"
StringLiteral:
  type: array
  minItems: 2
  maxItems: 2
  items:
    - const: "StringLiteral"
    - type: string

WholeNumberLiteral

Integer literal.

  • Structure: ["WholeNumberLiteral", integer]
  • Example: 42, -17

Version 3 is the recommended format for new Morphir IR files. It provides:

  • Consistency: All tags follow the same capitalization convention
  • Clarity: Capitalized tags are easier to distinguish in JSON
  • Future-proof: This format will be maintained going forward

Full Schema

For the complete schema definition, see the full schema page.

References

1 - What's New in Version 3

Changes and improvements in Morphir IR schema version 3

What’s New in Version 3

Version 3 of the Morphir IR schema introduces consistent capitalization across all tags, providing a uniform and predictable format.

Key Changes from Version 2

Consistent Capitalization

The primary change in version 3 is the complete capitalization of all tags throughout the schema:

Value Expression Tags

All value expression tags are now capitalized:

  • "apply""Apply"
  • "lambda""Lambda"
  • "let_definition""LetDefinition"
  • "if_then_else""IfThenElse"
  • "pattern_match""PatternMatch"
  • "literal""Literal"
  • "variable""Variable"
  • "reference""Reference"
  • "constructor""Constructor"
  • "tuple""Tuple"
  • "list""List"
  • "record""Record"
  • "field""Field"
  • "field_function""FieldFunction"
  • "let_recursion""LetRecursion"
  • "destructure""Destructure"
  • "update_record""UpdateRecord"
  • "unit""Unit"

Pattern Tags

All pattern tags are now capitalized:

  • "wildcard_pattern""WildcardPattern"
  • "as_pattern""AsPattern"
  • "tuple_pattern""TuplePattern"
  • "constructor_pattern""ConstructorPattern"
  • "empty_list_pattern""EmptyListPattern"
  • "head_tail_pattern""HeadTailPattern"
  • "literal_pattern""LiteralPattern"
  • "unit_pattern""UnitPattern"

Literal Tags

All literal tags are now capitalized:

  • "bool_literal""BoolLiteral"
  • "char_literal""CharLiteral"
  • "string_literal""StringLiteral"
  • "whole_number_literal""WholeNumberLiteral"
  • "float_literal""FloatLiteral"
  • "decimal_literal""DecimalLiteral"

Benefits

Consistency

Version 3 provides a single, uniform naming convention across the entire IR structure. This makes the schema:

  • Easier to remember: One rule applies everywhere
  • More predictable: All tags follow PascalCase capitalization
  • Cleaner to work with: No need to remember which tags use underscores or lowercase

Better Tooling Support

The consistent capitalization improves:

  • Code generation: Automated tools can rely on uniform naming
  • Serialization/Deserialization: Simplified mapping to programming language types
  • Validation: Easier to write validation rules and tests

Migration from Version 2

Migrating from version 2 to version 3 requires updating all lowercase and underscore-separated tags:

  1. Capitalize all value tags
  2. Capitalize all pattern tags
  3. Capitalize all literal tags
  4. Remove underscores and use PascalCase

Recommendation

Version 3 is the current and recommended format for all new Morphir IR files. It provides the best balance of consistency, clarity, and tooling support.

See Also

2 - Full Schema

Complete Morphir IR JSON Schema for format version 3

Morphir IR Schema Version 3 - Complete Schema

This page contains the complete JSON schema definition for Morphir IR format version 3 (current version).

Download

You can download the schema file directly: morphir-ir-v3.yaml

Usage

This schema can be used to validate Morphir IR JSON files in format version 3:

# Using Python jsonschema (recommended for YAML schemas)
pip install jsonschema pyyaml
python -c "import json, yaml, jsonschema; \
  schema = yaml.safe_load(open('morphir-ir-v3.yaml')); \
  data = json.load(open('your-morphir-ir.json')); \
  jsonschema.validate(data, schema); \
  print('✓ Valid Morphir IR')"

References


Appendix: Complete Schema Definition

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# JSON Schema for Morphir IR Format Version 3
# This schema defines the structure of a Morphir IR distribution in version 3 format.
# A distribution is the output of the Morphir compilation process (e.g., morphir-elm make).

$schema: "http://json-schema.org/draft-07/schema#"
$id: "https://finos.github.io/morphir/schemas/morphir-ir-v3.yaml"
title: "Morphir IR Distribution"
description: |
  A Morphir IR distribution represents a complete, self-contained package of business logic
  with all its dependencies. It captures the semantics of functional programs in a
  language-independent, platform-agnostic format.

type: object
required:
  - formatVersion
  - distribution
properties:
  formatVersion:
    type: integer
    const: 3
    description: "The version of the IR format. Must be 3 for this schema."
  
  distribution:
    description: "The distribution data, currently only Library distributions are supported."
    type: array
    minItems: 4
    maxItems: 4
    items:
      - type: string
        const: "Library"
        description: "The type of distribution. Currently only Library is supported."
      - $ref: "#/definitions/PackageName"
      - $ref: "#/definitions/Dependencies"
      - $ref: "#/definitions/PackageDefinition"

definitions:
  # ===== Basic Building Blocks =====
  
  Name:
    type: array
    items:
      type: string
      pattern: "^[a-z][a-z0-9]*$"
    minItems: 1
    description: |
      A Name is a list of lowercase words that represents a human-readable identifier.
      Example: ["value", "in", "u", "s", "d"] can be rendered as valueInUSD or value_in_USD.
  
  Path:
    type: array
    items:
      $ref: "#/definitions/Name"
    minItems: 1
    description: |
      A Path is a list of Names representing a hierarchical location in the IR structure.
      Used for package names and module names.
  
  PackageName:
    $ref: "#/definitions/Path"
    description: "Globally unique identifier for a package."
  
  ModuleName:
    $ref: "#/definitions/Path"
    description: "Unique identifier for a module within a package."
  
  FQName:
    type: array
    minItems: 3
    maxItems: 3
    items:
      - $ref: "#/definitions/PackageName"
      - $ref: "#/definitions/ModuleName"
      - $ref: "#/definitions/Name"
    description: |
      Fully-Qualified Name that provides a globally unique identifier for any type or value.
      Consists of [packagePath, modulePath, localName].
  
  # ===== Attributes =====
  
  Attributes:
    type: object
    description: |
      Attributes can be attached to various nodes in the IR for extensibility.
      When no additional information is needed, an empty object {} is used.
  
  # ===== Access Control =====
  
  AccessControlled:
    type: object
    required: ["access", "value"]
    properties:
      access:
        type: string
        enum: ["Public", "Private"]
        description: "Controls visibility of types and values."
      value:
        description: "The value being access controlled."
    description: "Wrapper that manages visibility of types and values."
  
  # Note: Documented is not a separate schema definition because it's encoded conditionally.
  # When documentation exists, the JSON has both "doc" and "value" fields.
  # When documentation is absent, the JSON contains only the documented element directly (no wrapper).
  # This is handled inline in the definitions that use Documented.
  
  # ===== Distribution Structure =====
  
  Dependencies:
    type: array
    items:
      type: array
      minItems: 2
      maxItems: 2
      items:
        - $ref: "#/definitions/PackageName"
        - $ref: "#/definitions/PackageSpecification"
    description: "Dictionary of package dependencies, contains only type signatures."
  
  PackageDefinition:
    type: object
    required: ["modules"]
    properties:
      modules:
        type: array
        items:
          type: array
          minItems: 2
          maxItems: 2
          items:
            - $ref: "#/definitions/ModuleName"
            - allOf:
                - $ref: "#/definitions/AccessControlled"
                - properties:
                    value:
                      $ref: "#/definitions/ModuleDefinition"
        description: "All modules in the package (public and private)."
    description: "Complete implementation of a package with all details."
  
  PackageSpecification:
    type: object
    required: ["modules"]
    properties:
      modules:
        type: array
        items:
          type: array
          minItems: 2
          maxItems: 2
          items:
            - $ref: "#/definitions/ModuleName"
            - $ref: "#/definitions/ModuleSpecification"
        description: "Public modules only."
    description: "Public interface of a package, contains only type signatures."
  
  # ===== Module Structure =====
  
  ModuleDefinition:
    type: object
    required: ["types", "values"]
    properties:
      types:
        type: array
        items:
          type: array
          minItems: 2
          maxItems: 2
          items:
            - $ref: "#/definitions/Name"
            - allOf:
                - $ref: "#/definitions/AccessControlled"
                - properties:
                    value:
                      # Documented wrapper: can have "doc" and "value", or just the type definition directly
                      oneOf:
                        - type: object
                          required: ["doc", "value"]
                          properties:
                            doc:
                              type: string
                            value:
                              $ref: "#/definitions/TypeDefinition"
                        - $ref: "#/definitions/TypeDefinition"
        description: "All type definitions (public and private)."
      values:
        type: array
        items:
          type: array
          minItems: 2
          maxItems: 2
          items:
            - $ref: "#/definitions/Name"
            - allOf:
                - $ref: "#/definitions/AccessControlled"
                - properties:
                    value:
                      # Documented wrapper: can have "doc" and "value", or just the value definition directly
                      oneOf:
                        - type: object
                          required: ["doc", "value"]
                          properties:
                            doc:
                              type: string
                            value:
                              $ref: "#/definitions/ValueDefinition"
                        - $ref: "#/definitions/ValueDefinition"
        description: "All value definitions (public and private)."
      doc:
        type: string
        description: "Optional documentation for the module."
    description: "Complete implementation of a module."
  
  ModuleSpecification:
    type: object
    required: ["types", "values"]
    properties:
      types:
        type: array
        items:
          type: array
          minItems: 2
          maxItems: 2
          items:
            - $ref: "#/definitions/Name"
            - oneOf:
                - type: object
                  required: ["doc", "value"]
                  properties:
                    doc:
                      type: string
                    value:
                      $ref: "#/definitions/TypeSpecification"
                - $ref: "#/definitions/TypeSpecification"
        description: "Public type specifications only."
      values:
        type: array
        items:
          type: array
          minItems: 2
          maxItems: 2
          items:
            - $ref: "#/definitions/Name"
            - oneOf:
                - type: object
                  required: ["doc", "value"]
                  properties:
                    doc:
                      type: string
                    value:
                      $ref: "#/definitions/ValueSpecification"
                - $ref: "#/definitions/ValueSpecification"
        description: "Public value specifications only."
      doc:
        type: string
        description: "Optional documentation for the module."
    description: "Public interface of a module."
  
  # ===== Type System =====
  
  Type:
    description: |
      A Type is a recursive tree structure representing type expressions.
      Each type can be one of: Variable, Reference, Tuple, Record, ExtensibleRecord, Function, or Unit.
    oneOf:
      - $ref: "#/definitions/VariableType"
      - $ref: "#/definitions/ReferenceType"
      - $ref: "#/definitions/TupleType"
      - $ref: "#/definitions/RecordType"
      - $ref: "#/definitions/ExtensibleRecordType"
      - $ref: "#/definitions/FunctionType"
      - $ref: "#/definitions/UnitType"
  
  VariableType:
    type: array
    minItems: 3
    maxItems: 3
    items:
      - const: "Variable"
      - $ref: "#/definitions/Attributes"
      - $ref: "#/definitions/Name"
    description: "Represents a type variable (generic parameter)."
  
  ReferenceType:
    type: array
    minItems: 4
    maxItems: 4
    items:
      - const: "Reference"
      - $ref: "#/definitions/Attributes"
      - $ref: "#/definitions/FQName"
      - type: array
        items:
          $ref: "#/definitions/Type"
        description: "Type arguments for generic types."
    description: "Reference to another type or type alias."
  
  TupleType:
    type: array
    minItems: 3
    maxItems: 3
    items:
      - const: "Tuple"
      - $ref: "#/definitions/Attributes"
      - type: array
        items:
          $ref: "#/definitions/Type"
        description: "Element types in order."
    description: "A composition of multiple types in a fixed order (product type)."
  
  RecordType:
    type: array
    minItems: 3
    maxItems: 3
    items:
      - const: "Record"
      - $ref: "#/definitions/Attributes"
      - type: array
        items:
          $ref: "#/definitions/Field"
        description: "List of field definitions."
    description: "A composition of named fields with their types."
  
  ExtensibleRecordType:
    type: array
    minItems: 4
    maxItems: 4
    items:
      - const: "ExtensibleRecord"
      - $ref: "#/definitions/Attributes"
      - $ref: "#/definitions/Name"
      - type: array
        items:
          $ref: "#/definitions/Field"
        description: "Known fields."
    description: "A record type that can be extended with additional fields."
  
  FunctionType:
    type: array
    minItems: 4
    maxItems: 4
    items:
      - const: "Function"
      - $ref: "#/definitions/Attributes"
      - $ref: "#/definitions/Type"
      - $ref: "#/definitions/Type"
    description: |
      Represents a function type. Multi-argument functions are represented via currying.
      Items: [tag, attributes, argumentType, returnType]
  
  UnitType:
    type: array
    minItems: 2
    maxItems: 2
    items:
      - const: "Unit"
      - $ref: "#/definitions/Attributes"
    description: "The type with exactly one value (similar to void in some languages)."
  
  Field:
    type: object
    required: ["name", "tpe"]
    properties:
      name:
        $ref: "#/definitions/Name"
        description: "Field name."
      tpe:
        $ref: "#/definitions/Type"
        description: "Field type."
    description: "A field in a record type."
  
  # ===== Type Specifications =====
  
  TypeSpecification:
    description: "Defines the interface of a type without implementation details."
    oneOf:
      - $ref: "#/definitions/TypeAliasSpecification"
      - $ref: "#/definitions/OpaqueTypeSpecification"
      - $ref: "#/definitions/CustomTypeSpecification"
      - $ref: "#/definitions/DerivedTypeSpecification"
  
  TypeAliasSpecification:
    type: array
    minItems: 3
    maxItems: 3
    items:
      - const: "TypeAliasSpecification"
      - type: array
        items:
          $ref: "#/definitions/Name"
        description: "Type parameters."
      - $ref: "#/definitions/Type"
    description: "An alias for another type."
  
  OpaqueTypeSpecification:
    type: array
    minItems: 2
    maxItems: 2
    items:
      - const: "OpaqueTypeSpecification"
      - type: array
        items:
          $ref: "#/definitions/Name"
        description: "Type parameters."
    description: |
      A type with unknown structure. The implementation is hidden from consumers.
  
  CustomTypeSpecification:
    type: array
    minItems: 3
    maxItems: 3
    items:
      - const: "CustomTypeSpecification"
      - type: array
        items:
          $ref: "#/definitions/Name"
        description: "Type parameters."
      - $ref: "#/definitions/Constructors"
    description: "A tagged union type (sum type)."
  
  DerivedTypeSpecification:
    type: array
    minItems: 3
    maxItems: 3
    items:
      - const: "DerivedTypeSpecification"
      - type: array
        items:
          $ref: "#/definitions/Name"
        description: "Type parameters."
      - type: object
        required: ["baseType", "fromBaseType", "toBaseType"]
        properties:
          baseType:
            $ref: "#/definitions/Type"
            description: "The type used for serialization."
          fromBaseType:
            $ref: "#/definitions/FQName"
            description: "Function to convert from base type."
          toBaseType:
            $ref: "#/definitions/FQName"
            description: "Function to convert to base type."
        description: "Details for derived type."
    description: |
      A type with platform-specific representation but known serialization.
  
  # ===== Type Definitions =====
  
  TypeDefinition:
    description: "Provides the complete implementation of a type."
    oneOf:
      - $ref: "#/definitions/TypeAliasDefinition"
      - $ref: "#/definitions/CustomTypeDefinition"
  
  TypeAliasDefinition:
    type: array
    minItems: 3
    maxItems: 3
    items:
      - const: "TypeAliasDefinition"
      - type: array
        items:
          $ref: "#/definitions/Name"
        description: "Type parameters."
      - $ref: "#/definitions/Type"
    description: "Complete definition of a type alias."
  
  CustomTypeDefinition:
    type: array
    minItems: 3
    maxItems: 3
    items:
      - const: "CustomTypeDefinition"
      - type: array
        items:
          $ref: "#/definitions/Name"
        description: "Type parameters."
      - allOf:
          - $ref: "#/definitions/AccessControlled"
          - properties:
              value:
                $ref: "#/definitions/Constructors"
    description: |
      Complete definition of a custom type. If constructors are Private, 
      the specification becomes OpaqueTypeSpecification.
  
  Constructors:
    type: array
    items:
      type: array
      minItems: 2
      maxItems: 2
      items:
        - $ref: "#/definitions/Name"
        - type: array
          items:
            type: array
            minItems: 2
            maxItems: 2
            items:
              - $ref: "#/definitions/Name"
              - $ref: "#/definitions/Type"
          description: "Constructor arguments as (name, type) pairs."
    description: "Dictionary of constructor names to their typed arguments."
  
  # ===== Value System =====
  
  Value:
    description: |
      A Value is a recursive tree structure representing computations.
      All data and logic in Morphir are represented as value expressions.
    oneOf:
      - $ref: "#/definitions/LiteralValue"
      - $ref: "#/definitions/ConstructorValue"
      - $ref: "#/definitions/TupleValue"
      - $ref: "#/definitions/ListValue"
      - $ref: "#/definitions/RecordValue"
      - $ref: "#/definitions/VariableValue"
      - $ref: "#/definitions/ReferenceValue"
      - $ref: "#/definitions/FieldValue"
      - $ref: "#/definitions/FieldFunctionValue"
      - $ref: "#/definitions/ApplyValue"
      - $ref: "#/definitions/LambdaValue"
      - $ref: "#/definitions/LetDefinitionValue"
      - $ref: "#/definitions/LetRecursionValue"
      - $ref: "#/definitions/DestructureValue"
      - $ref: "#/definitions/IfThenElseValue"
      - $ref: "#/definitions/PatternMatchValue"
      - $ref: "#/definitions/UpdateRecordValue"
      - $ref: "#/definitions/UnitValue"
  
  LiteralValue:
    type: array
    minItems: 3
    maxItems: 3
    items:
      - const: "Literal"
      - $ref: "#/definitions/Attributes"
      - $ref: "#/definitions/Literal"
    description: "A literal constant value."
  
  ConstructorValue:
    type: array
    minItems: 3
    maxItems: 3
    items:
      - const: "Constructor"
      - $ref: "#/definitions/Attributes"
      - $ref: "#/definitions/FQName"
    description: "Reference to a custom type constructor."
  
  TupleValue:
    type: array
    minItems: 3
    maxItems: 3
    items:
      - const: "Tuple"
      - $ref: "#/definitions/Attributes"
      - type: array
        items:
          $ref: "#/definitions/Value"
        description: "Element values in order."
    description: "A tuple value with multiple elements."
  
  ListValue:
    type: array
    minItems: 3
    maxItems: 3
    items:
      - const: "List"
      - $ref: "#/definitions/Attributes"
      - type: array
        items:
          $ref: "#/definitions/Value"
        description: "List elements."
    description: "A list of values."
  
  RecordValue:
    type: array
    minItems: 3
    maxItems: 3
    items:
      - const: "Record"
      - $ref: "#/definitions/Attributes"
      - type: array
        items:
          type: array
          minItems: 2
          maxItems: 2
          items:
            - $ref: "#/definitions/Name"
            - $ref: "#/definitions/Value"
        description: "Dictionary mapping field names to values."
    description: "A record value with named fields."
  
  VariableValue:
    type: array
    minItems: 3
    maxItems: 3
    items:
      - const: "Variable"
      - $ref: "#/definitions/Attributes"
      - $ref: "#/definitions/Name"
    description: "Reference to a variable in scope."
  
  ReferenceValue:
    type: array
    minItems: 3
    maxItems: 3
    items:
      - const: "Reference"
      - $ref: "#/definitions/Attributes"
      - $ref: "#/definitions/FQName"
    description: "Reference to a defined value (function or constant)."
  
  FieldValue:
    type: array
    minItems: 4
    maxItems: 4
    items:
      - const: "Field"
      - $ref: "#/definitions/Attributes"
      - $ref: "#/definitions/Value"
      - $ref: "#/definitions/Name"
    description: "Field access on a record. Items: [tag, attributes, recordExpr, fieldName]"
  
  FieldFunctionValue:
    type: array
    minItems: 3
    maxItems: 3
    items:
      - const: "FieldFunction"
      - $ref: "#/definitions/Attributes"
      - $ref: "#/definitions/Name"
    description: "A function that extracts a field (e.g., .firstName)."
  
  ApplyValue:
    type: array
    minItems: 4
    maxItems: 4
    items:
      - const: "Apply"
      - $ref: "#/definitions/Attributes"
      - $ref: "#/definitions/Value"
      - $ref: "#/definitions/Value"
    description: |
      Function application. Items: [tag, attributes, function, argument].
      Multi-argument calls are represented via currying (nested Apply nodes).
  
  LambdaValue:
    type: array
    minItems: 4
    maxItems: 4
    items:
      - const: "Lambda"
      - $ref: "#/definitions/Attributes"
      - $ref: "#/definitions/Pattern"
      - $ref: "#/definitions/Value"
    description: |
      Anonymous function (lambda abstraction).
      Items: [tag, attributes, argumentPattern, body]
  
  LetDefinitionValue:
    type: array
    minItems: 5
    maxItems: 5
    items:
      - const: "LetDefinition"
      - $ref: "#/definitions/Attributes"
      - $ref: "#/definitions/Name"
      - $ref: "#/definitions/ValueDefinition"
      - $ref: "#/definitions/Value"
    description: |
      A let binding introducing a single value.
      Items: [tag, attributes, bindingName, definition, inExpr]
  
  LetRecursionValue:
    type: array
    minItems: 4
    maxItems: 4
    items:
      - const: "LetRecursion"
      - $ref: "#/definitions/Attributes"
      - type: array
        items:
          type: array
          minItems: 2
          maxItems: 2
          items:
            - $ref: "#/definitions/Name"
            - $ref: "#/definitions/ValueDefinition"
        description: "Multiple bindings that can reference each other."
      - $ref: "#/definitions/Value"
    description: "Mutually recursive let bindings."
  
  DestructureValue:
    type: array
    minItems: 5
    maxItems: 5
    items:
      - const: "Destructure"
      - $ref: "#/definitions/Attributes"
      - $ref: "#/definitions/Pattern"
      - $ref: "#/definitions/Value"
      - $ref: "#/definitions/Value"
    description: |
      Pattern-based destructuring.
      Items: [tag, attributes, pattern, valueToDestructure, inExpr]
  
  IfThenElseValue:
    type: array
    minItems: 5
    maxItems: 5
    items:
      - const: "IfThenElse"
      - $ref: "#/definitions/Attributes"
      - $ref: "#/definitions/Value"
      - $ref: "#/definitions/Value"
      - $ref: "#/definitions/Value"
    description: |
      Conditional expression.
      Items: [tag, attributes, condition, thenBranch, elseBranch]
  
  PatternMatchValue:
    type: array
    minItems: 4
    maxItems: 4
    items:
      - const: "PatternMatch"
      - $ref: "#/definitions/Attributes"
      - $ref: "#/definitions/Value"
      - type: array
        items:
          type: array
          minItems: 2
          maxItems: 2
          items:
            - $ref: "#/definitions/Pattern"
            - $ref: "#/definitions/Value"
        description: "List of pattern-branch pairs."
    description: "Pattern matching with multiple cases."
  
  UpdateRecordValue:
    type: array
    minItems: 4
    maxItems: 4
    items:
      - const: "UpdateRecord"
      - $ref: "#/definitions/Attributes"
      - $ref: "#/definitions/Value"
      - type: array
        items:
          type: array
          minItems: 2
          maxItems: 2
          items:
            - $ref: "#/definitions/Name"
            - $ref: "#/definitions/Value"
        description: "Fields to update with new values."
    description: |
      Record update expression (immutable copy-on-update).
      Items: [tag, attributes, recordToUpdate, fieldsToUpdate]
  
  UnitValue:
    type: array
    minItems: 2
    maxItems: 2
    items:
      - const: "Unit"
      - $ref: "#/definitions/Attributes"
    description: "The unit value (the single value of the Unit type)."
  
  # ===== Literals =====
  
  Literal:
    description: "Represents literal constant values."
    oneOf:
      - $ref: "#/definitions/BoolLiteral"
      - $ref: "#/definitions/CharLiteral"
      - $ref: "#/definitions/StringLiteral"
      - $ref: "#/definitions/WholeNumberLiteral"
      - $ref: "#/definitions/FloatLiteral"
      - $ref: "#/definitions/DecimalLiteral"
  
  BoolLiteral:
    type: array
    minItems: 2
    maxItems: 2
    items:
      - const: "BoolLiteral"
      - type: boolean
    description: "Boolean literal (true or false)."
  
  CharLiteral:
    type: array
    minItems: 2
    maxItems: 2
    items:
      - const: "CharLiteral"
      - type: string
        minLength: 1
        maxLength: 1
    description: "Single character literal."
  
  StringLiteral:
    type: array
    minItems: 2
    maxItems: 2
    items:
      - const: "StringLiteral"
      - type: string
    description: "Text string literal."
  
  WholeNumberLiteral:
    type: array
    minItems: 2
    maxItems: 2
    items:
      - const: "WholeNumberLiteral"
      - type: integer
    description: "Integer literal."
  
  FloatLiteral:
    type: array
    minItems: 2
    maxItems: 2
    items:
      - const: "FloatLiteral"
      - type: number
    description: "Floating-point number literal."
  
  DecimalLiteral:
    type: array
    minItems: 2
    maxItems: 2
    items:
      - const: "DecimalLiteral"
      - type: string
        pattern: "^-?[0-9]+(\\.[0-9]+)?$"
    description: "Arbitrary-precision decimal literal (stored as string)."
  
  # ===== Patterns =====
  
  Pattern:
    description: |
      Patterns are used for destructuring and filtering values.
      They appear in lambda, let destructure, and pattern match expressions.
    oneOf:
      - $ref: "#/definitions/WildcardPattern"
      - $ref: "#/definitions/AsPattern"
      - $ref: "#/definitions/TuplePattern"
      - $ref: "#/definitions/ConstructorPattern"
      - $ref: "#/definitions/EmptyListPattern"
      - $ref: "#/definitions/HeadTailPattern"
      - $ref: "#/definitions/LiteralPattern"
      - $ref: "#/definitions/UnitPattern"
  
  WildcardPattern:
    type: array
    minItems: 2
    maxItems: 2
    items:
      - const: "WildcardPattern"
      - $ref: "#/definitions/Attributes"
    description: "Matches any value without binding (the _ pattern)."
  
  AsPattern:
    type: array
    minItems: 4
    maxItems: 4
    items:
      - const: "AsPattern"
      - $ref: "#/definitions/Attributes"
      - $ref: "#/definitions/Pattern"
      - $ref: "#/definitions/Name"
    description: |
      Binds a name to a value matched by a nested pattern.
      Simple variable binding is AsPattern with WildcardPattern nested.
      Items: [tag, attributes, nestedPattern, variableName]
  
  TuplePattern:
    type: array
    minItems: 3
    maxItems: 3
    items:
      - const: "TuplePattern"
      - $ref: "#/definitions/Attributes"
      - type: array
        items:
          $ref: "#/definitions/Pattern"
        description: "Patterns for each tuple element."
    description: "Matches a tuple by matching each element."
  
  ConstructorPattern:
    type: array
    minItems: 4
    maxItems: 4
    items:
      - const: "ConstructorPattern"
      - $ref: "#/definitions/Attributes"
      - $ref: "#/definitions/FQName"
      - type: array
        items:
          $ref: "#/definitions/Pattern"
        description: "Patterns for constructor arguments."
    description: "Matches a specific type constructor and its arguments."
  
  EmptyListPattern:
    type: array
    minItems: 2
    maxItems: 2
    items:
      - const: "EmptyListPattern"
      - $ref: "#/definitions/Attributes"
    description: "Matches an empty list (the [] pattern)."
  
  HeadTailPattern:
    type: array
    minItems: 4
    maxItems: 4
    items:
      - const: "HeadTailPattern"
      - $ref: "#/definitions/Attributes"
      - $ref: "#/definitions/Pattern"
      - $ref: "#/definitions/Pattern"
    description: |
      Matches a non-empty list by head and tail (the x :: xs pattern).
      Items: [tag, attributes, headPattern, tailPattern]
  
  LiteralPattern:
    type: array
    minItems: 3
    maxItems: 3
    items:
      - const: "LiteralPattern"
      - $ref: "#/definitions/Attributes"
      - $ref: "#/definitions/Literal"
    description: "Matches an exact literal value."
  
  UnitPattern:
    type: array
    minItems: 2
    maxItems: 2
    items:
      - const: "UnitPattern"
      - $ref: "#/definitions/Attributes"
    description: "Matches the unit value."
  
  # ===== Value Specifications and Definitions =====
  
  ValueSpecification:
    type: object
    required: ["inputs", "output"]
    properties:
      inputs:
        type: array
        items:
          type: array
          minItems: 2
          maxItems: 2
          items:
            - $ref: "#/definitions/Name"
            - $ref: "#/definitions/Type"
        description: "Function parameters as (name, type) pairs."
      output:
        $ref: "#/definitions/Type"
        description: "The return type."
    description: |
      The type signature of a value or function.
      Contains only type information, no implementation.
  
  ValueDefinition:
    type: object
    required: ["inputTypes", "outputType", "body"]
    properties:
      inputTypes:
        type: array
        items:
          type: array
          minItems: 3
          maxItems: 3
          items:
            - $ref: "#/definitions/Name"
            - $ref: "#/definitions/Attributes"
            - $ref: "#/definitions/Type"
        description: "Function parameters as (name, attributes, type) tuples."
      outputType:
        $ref: "#/definitions/Type"
        description: "The return type."
      body:
        $ref: "#/definitions/Value"
        description: "The value expression implementing the logic."
    description: |
      The complete implementation of a value or function.
      Contains both type information and implementation.