from __future__ import annotations

from typing import Any, Dict
from pydantic import BaseModel


class Object(BaseModel):
    id: str
    name: str
    description: str | None = None
    fields: Dict[str, Any] = {}


class Morphism(BaseModel):
    id: str
    name: str
    source_object_id: str
    target_object_id: str
    schema: Dict[str, Any] = {}


class Functor(BaseModel):
    id: str
    name: str
    map_function: str  # serialized function body or reference


class Limit(BaseModel):
    id: str
    name: str
    constraints: Dict[str, Any] = {}


class Colimit(BaseModel):
    id: str
    name: str
    constraints: Dict[str, Any] = {}


class TimeMonoid(BaseModel):
    id: str
    rounds: int = 1
    mode: str = "sync"  # or async, delta-sync, etc.