diff --git a/CHANGELOG.rst b/CHANGELOG.rst
index eed7728..b902619 100644
--- a/CHANGELOG.rst
+++ b/CHANGELOG.rst
@@ -7,6 +7,8 @@ Changelog
 ==================
 
 - Improves os process control, fix graceful exit
+- CRON tasks now has OR logic for calendar and week days
+- Periodic/cron graceful cancellation
 
 
 1.8.0 (2026-02-26)
diff --git a/microagent/__init__.py b/microagent/__init__.py
index fbd3ddc..77a01f1 100644
--- a/microagent/__init__.py
+++ b/microagent/__init__.py
@@ -193,11 +193,11 @@ def cron(spec: str, timeout: int | float = 1) -> abc.Callable[[PeriodicFunc], Pe
 
         .. code-block:: python
 
-            @periodic('0 */4 * * *')
+            @cron('0 */4 * * *')
             async def handler_1(self):
                 log.info('Called handler 1')
 
-            @periodic('*/15 * * * *', timeout=10)
+            @cron('*/15 * * * *', timeout=10)
             async def handler_2(self):
                 log.info('Called handler 2')
     '''
diff --git a/microagent/agent.py b/microagent/agent.py
index 9f33c8a..d48f495 100644
--- a/microagent/agent.py
+++ b/microagent/agent.py
@@ -204,6 +204,10 @@ async def start(self,
             await self.run_servers(self.hook.servers)
 
     async def stop(self) -> None:
+        for periodic_task in self.periodic_tasks:
+            periodic_task.cancel()
+        for cron_task in self.cron_tasks:
+            cron_task.cancel()
         await self.hook.pre_stop()
 
     @staticmethod
@@ -220,7 +224,7 @@ def run_periodic_tasks(self, periodic_tasks: Iterable[PeriodicTask],
                 start_at = datetime.now(tz=timezone.utc) + timedelta(seconds=start_after)
                 self.log.debug('Set %s at %s', task, f'{start_at:%H:%M:%S}')
             else:
-                self.log.debug('Set %s after %d sec', task, start_after)
+                self.log.debug('Set %s after %s sec', task, start_after)
 
             task.start(start_after)
 
diff --git a/microagent/timer.py b/microagent/timer.py
index 4edf327..c771b46 100644
--- a/microagent/timer.py
+++ b/microagent/timer.py
@@ -36,7 +36,7 @@ async def cron_handler(self):
 
 RANGES = ((0, 59), (0, 23), (1, 31), (1, 12), (0, 7))
 DAYS = (31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31)
-MAX_DIFF = 2 * 356 * 24 * 60 * 60
+MAX_DIFF = 2 * 365 * 24 * 60 * 60
 
 
 class CRON(NamedTuple):
@@ -58,6 +58,8 @@ class PeriodicMixin:
     agent: 'MicroAgent'
     handler: Callable
     timeout: float
+    _timer_handle: asyncio.TimerHandle | None = None
+    _running_task: asyncio.Task | None = None
 
     async def call(self) -> None:
         try:
@@ -73,7 +75,13 @@ async def call(self) -> None:
             self.agent.log.exception(f'Periodic Exception: {exc}')
 
     def start(self, start_after: float) -> None:
-        asyncio.get_running_loop().call_later(start_after, _periodic, self)  # type: ignore[arg-type]
+        self._timer_handle = asyncio.get_running_loop().call_later(start_after, _periodic, self)  # type: ignore[arg-type]
+
+    def cancel(self) -> None:
+        if self._timer_handle is not None:
+            self._timer_handle.cancel()
+        if self._running_task is not None and not self._running_task.done():
+            self._running_task.cancel()
 
 
 class PeriodicArgs(TypedDict):
@@ -123,17 +131,14 @@ def start_after(self) -> float:
 
     @property
     def period(self) -> float:
-        '''
-            *period* property of **CRONTask** object is a next value of
-            generator behind facade. Be carefully with manual manipulation with it.
-        '''
-        self.agent.log.debug('Run %r', self)
         return self.cron.next().timestamp() - time.time()  # next step delay
 
 
 def _periodic(task: PeriodicTask | CRONTask) -> asyncio.Task:
-    asyncio.get_running_loop().call_later(task.period, _periodic, task)
-    return asyncio.create_task(task.call())
+    task._timer_handle = asyncio.get_running_loop().call_later(task.period, _periodic, task)
+    running = asyncio.create_task(task.call())
+    task._running_task = running
+    return running
 
 
 def cron_parser(spec: str) -> CRON:
@@ -201,7 +206,23 @@ def next_moment(cron: CRON, now: datetime) -> datetime:
 
         return next_moment(cron, now)
 
-    if now.day not in cron.days or now.weekday() not in cron.weekdays:
+    # calculating whether a task needs to be started on that day
+    days_all = set(cron.days) == set(range(1, 32))  # run every calendar day
+    wdays_all = set(cron.weekdays) >= set(range(7))  # run every week day
+
+    day_ok = now.day in cron.days  # run today
+    wday_ok = now.weekday() in cron.weekdays  # run today
+
+    if not days_all and not wdays_all:
+        ok = day_ok or wday_ok  # POSIX: both restricted → OR
+    elif not days_all:
+        ok = day_ok
+    elif not wdays_all:
+        ok = wday_ok
+    else:  # if run every day
+        ok = True
+
+    if not ok:
         now += timedelta(days=1)
         now = datetime(year=now.year, month=now.month, day=now.day, tzinfo=timezone.utc)
         return next_moment(cron, now)