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Full Schema

Complete Morphir IR JSON Schema for format version 2

    Morphir IR Schema Version 2 - Complete Schema

    This page contains the complete JSON schema definition for Morphir IR format version 2.

    Download

    You can download the schema file directly: morphir-ir-v2.yaml

    Usage

    This schema can be used to validate Morphir IR JSON files in format version 2:

    # Using Python jsonschema (recommended for YAML schemas)
    pip install jsonschema pyyaml
    python -c "import json, yaml, jsonschema; \
      schema = yaml.safe_load(open('morphir-ir-v2.yaml')); \
      data = json.load(open('your-morphir-ir.json')); \
      jsonschema.validate(data, schema); \
      print('✓ Valid Morphir IR v2')"
    

    References


    Appendix: Complete Schema Definition

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    # JSON Schema for Morphir IR Format Version 2
    # This schema defines the structure of a Morphir IR distribution in version 2 format.
    # Format version 2 uses capitalized tag names (e.g., "Library", "Public", "Variable").
    
    $schema: "http://json-schema.org/draft-07/schema#"
    $id: "https://finos.github.io/morphir/schemas/morphir-ir-v2.yaml"
    title: "Morphir IR Distribution (Version 2)"
    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.
      
      This is format version 2, which differs from version 3 primarily in tag capitalization.
    
    type: object
    required:
      - formatVersion
      - distribution
    properties:
      formatVersion:
        type: integer
        const: 2
        description: "The version of the IR format. Must be 2 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: "Distribution type (capitalized in v2)."
          - $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 (capitalized in v2)."
          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.
          Tags are capitalized in format version 2.
        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 expressions use lowercase tags in v2 (e.g., "apply", "lambda")
      
      Value:
        description: |
          A Value is a recursive tree structure representing computations.
          All data and logic in Morphir are represented as value expressions.
          Note: Value tags are lowercase in format version 2.
        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: "field_function"
          - $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: "let_definition"
          - $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: "let_recursion"
          - $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: "if_then_else"
          - $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: "pattern_match"
          - $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: "update_record"
          - $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: "bool_literal"
          - type: boolean
        description: "Boolean literal (true or false)."
      
      CharLiteral:
        type: array
        minItems: 2
        maxItems: 2
        items:
          - const: "char_literal"
          - type: string
            minLength: 1
            maxLength: 1
        description: "Single character literal."
      
      StringLiteral:
        type: array
        minItems: 2
        maxItems: 2
        items:
          - const: "string_literal"
          - type: string
        description: "Text string literal."
      
      WholeNumberLiteral:
        type: array
        minItems: 2
        maxItems: 2
        items:
          - const: "whole_number_literal"
          - type: integer
        description: "Integer literal."
      
      FloatLiteral:
        type: array
        minItems: 2
        maxItems: 2
        items:
          - const: "float_literal"
          - type: number
        description: "Floating-point number literal."
      
      DecimalLiteral:
        type: array
        minItems: 2
        maxItems: 2
        items:
          - const: "decimal_literal"
          - 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.
          Pattern tags are lowercase with underscores in format version 2.
        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: "wildcard_pattern"
          - $ref: "#/definitions/Attributes"
        description: "Matches any value without binding (the _ pattern)."
      
      AsPattern:
        type: array
        minItems: 4
        maxItems: 4
        items:
          - const: "as_pattern"
          - $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: "tuple_pattern"
          - $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: "constructor_pattern"
          - $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: "empty_list_pattern"
          - $ref: "#/definitions/Attributes"
        description: "Matches an empty list (the [] pattern)."
      
      HeadTailPattern:
        type: array
        minItems: 4
        maxItems: 4
        items:
          - const: "head_tail_pattern"
          - $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: "literal_pattern"
          - $ref: "#/definitions/Attributes"
          - $ref: "#/definitions/Literal"
        description: "Matches an exact literal value."
      
      UnitPattern:
        type: array
        minItems: 2
        maxItems: 2
        items:
          - const: "unit_pattern"
          - $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.