diff --git a/stdlib/2.7/inspect.pyi b/stdlib/2.7/inspect.pyi
index f59dec6aa..b1cfb9c56 100644
--- a/stdlib/2.7/inspect.pyi
+++ b/stdlib/2.7/inspect.pyi
@@ -9,3 +9,12 @@ _FrameRecord = Tuple[_Frame, str, int, str, List[str], int]
 
 def currentframe() -> _FrameRecord: ...
 def stack(context: int = ...) -> List[_FrameRecord]: ...
+
+# namedtuple('ArgSpec', 'args varargs keywords defaults')
+class ArgSpec(tuple):
+    args = ...  # type: List[str]
+    varargs = ...  # type: str
+    keywords = ...  # type: str
+    defaults = ...  # type: tuple
+
+def getargspec(func: object) -> ArgSpec: ...
diff --git a/stdlib/2.7/zlib.pyi b/stdlib/2.7/zlib.pyi
index 72bfc88c1..d6a2c8cdc 100644
--- a/stdlib/2.7/zlib.pyi
+++ b/stdlib/2.7/zlib.pyi
@@ -23,14 +23,14 @@ def crc32(data: str, value: int = ...) -> int: ...
 def decompress(data: str, wbits: int = ..., bufsize: int = ...) -> str: ...
 
 class compressobj:
-    def __init__(level: int = ..., method: int = ..., wbits: int = ..., memlevel: int = ...,
+    def __init__(self, level: int = ..., method: int = ..., wbits: int = ..., memlevel: int = ...,
                  strategy: int = ...) -> None: ...
     def copy(self) -> "compressobj": ...
     def compress(self, data: str) -> str: ...
     def flush(self) -> None: ...
 
 class decompressobj:
-    def __init__(wbits: int = ...) -> None: ...
+    def __init__(self, wbits: int = ...) -> None: ...
     def copy(self) -> "decompressobj": ...
-    def decompress(self, data: str) -> str: ...
+    def decompress(self, data: str, max_length: int = ...) -> str: ...
     def flush(self) -> None: ...
diff --git a/stdlib/3/inspect.pyi b/stdlib/3/inspect.pyi
index 9286aa04f..710d7f3b4 100644
--- a/stdlib/3/inspect.pyi
+++ b/stdlib/3/inspect.pyi
@@ -1,6 +1,6 @@
 # Stubs for inspect
 
-from typing import Any, Tuple, List, Callable
+from typing import Any, Tuple, List, Dict, Callable
 from types import FrameType
 
 _object = object
@@ -31,4 +31,16 @@ class ArgSpec(tuple):
 
 def getargspec(func: object) -> ArgSpec: ...
 
+# namedtuple('FullArgSpec', 'args varargs varkw defaults kwonlyargs kwonlydefaults annotations')
+class FullArgSpec(tuple):
+    args = ...  # type: List[str]
+    varargs = ...  # type: str
+    varkw = ...  # type: str
+    defaults = ...  # type: tuple
+    kwonlyargs = ...  # type: List[str]
+    kwonlydefaults = ...  # type: Dict[str, Any]
+    annotations = ...  # type: Dict[str, Any]
+
+def getfullargspec(func: object) -> FullArgSpec: ...
+
 def stack() -> List[Tuple[FrameType, str, int, str, List[str], int]]: ...
diff --git a/stdlib/3/textwrap.pyi b/stdlib/3/textwrap.pyi
index db8b5bf55..f6441042a 100644
--- a/stdlib/3/textwrap.pyi
+++ b/stdlib/3/textwrap.pyi
@@ -61,6 +61,7 @@ class TextWrapper:
 
 
 def wrap(
+        text: str = ...,
         width: int = ...,
         *,
         initial_indent: str = ...,
diff --git a/stdlib/3/threading.pyi b/stdlib/3/threading.pyi
index a3e2597ba..ea4386d2b 100644
--- a/stdlib/3/threading.pyi
+++ b/stdlib/3/threading.pyi
@@ -23,6 +23,12 @@ class Thread:
     def isDaemon(self) -> bool: ...
     def setDaemon(self, daemon: bool) -> None: ...
 
+class local(object):
+    # TODO: allows arbitrary parameters...
+    def __getattr__(self, name: str) -> Any: ...
+    def __setattr__(self, name: str, value: Any) -> None: ...
+    def __delattr__(self, name: str) -> None: ...
+
 class Event:
     def is_set(self) -> bool: ...
     def set(self) -> None: ...