HALOWERKTechnische Prüfungen & Formate
F TD2000 DATASTRUCTURES 11 / lean4 predicative sort pi lambda let dependent kernel typing conversion
Check complete dependent Pi/lambda/application/let terms and definitional conversion in an explicitly bounded Lean-style universe core.
POST https://detect.halowerk.com/v1/F-TD2000-DATASTRUCTURES-11/lean4-predicative-sort-pi-lambda-let-dependent-kernel-typing-conversionEingaben
| Feld | Typ | Pflicht | Beschreibung |
|---|---|---|---|
| artifact | object | Ja |
Vollständiges Eingabeschema anzeigen
{
"type": "object",
"additionalProperties": false,
"required": [
"artifact"
],
"properties": {
"artifact": {
"$schema": "https://json-schema.org/draft/2020-12/schema",
"type": "object",
"properties": {
"dependentKernel": {
"type": "object",
"properties": {
"data": {
"type": "object",
"properties": {
"term": {
"$ref": "#/properties/artifact/%24defs/term"
},
"expected_type": {
"anyOf": [
{
"type": "null"
},
{
"$ref": "#/properties/artifact/%24defs/term"
}
]
}
},
"required": [
"term",
"expected_type"
],
"additionalProperties": false
},
"claim": {
"$ref": "#/properties/artifact/%24defs/json"
}
},
"required": [
"data",
"claim"
],
"additionalProperties": false
}
},
"required": [
"dependentKernel"
],
"additionalProperties": false,
"$defs": {
"json": {
"anyOf": [
{
"type": "null"
},
{
"type": "boolean"
},
{
"type": "number"
},
{
"type": "string",
"maxLength": 16000
},
{
"type": "array",
"items": {
"$ref": "#/properties/artifact/%24defs/json"
},
"maxItems": 16000
},
{
"type": "object",
"additionalProperties": {
"$ref": "#/properties/artifact/%24defs/json"
},
"maxProperties": 16000
}
]
},
"term": {
"anyOf": [
{
"type": "object",
"properties": {
"op": {
"const": "sort"
},
"level": {
"type": "integer",
"minimum": 1,
"maximum": 8
}
},
"required": [
"op",
"level"
],
"additionalProperties": false
},
{
"type": "object",
"properties": {
"op": {
"const": "bound"
},
"index": {
"type": "integer",
"minimum": 0,
"maximum": 23
}
},
"required": [
"op",
"index"
],
"additionalProperties": false
},
{
"type": "object",
"properties": {
"op": {
"const": "pi"
},
"domain": {
"$ref": "#/properties/artifact/%24defs/term"
},
"codomain": {
"$ref": "#/properties/artifact/%24defs/term"
}
},
"required": [
"op",
"domain",
"codomain"
],
"additionalProperties": false
},
{
"type": "object",
"properties": {
"op": {
"const": "lambda"
},
"domain": {
"$ref": "#/properties/artifact/%24defs/term"
},
"body": {
"$ref": "#/properties/artifact/%24defs/term"
}
},
"required": [
"op",
"domain",
"body"
],
"additionalProperties": false
},
{
"type": "object",
"properties": {
"op": {
"const": "application"
},
"function": {
"$ref": "#/properties/artifact/%24defs/term"
},
"argument": {
"$ref": "#/properties/artifact/%24defs/term"
}
},
"required": [
"op",
"function",
"argument"
],
"additionalProperties": false
},
{
"type": "object",
"properties": {
"op": {
"const": "let"
},
"type": {
"$ref": "#/properties/artifact/%24defs/term"
},
"value": {
"$ref": "#/properties/artifact/%24defs/term"
},
"body": {
"$ref": "#/properties/artifact/%24defs/term"
}
},
"required": [
"op",
"type",
"value",
"body"
],
"additionalProperties": false
}
]
}
}
}
}
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