diff --git a/README.rst b/README.rst
index 65b1dc97..a54722dc 100644
--- a/README.rst
+++ b/README.rst
@@ -12,20 +12,19 @@ Introduction
 
 *uncompyle6* translates Python bytecode back into equivalent Python
 source code. It accepts bytecodes from Python version 2.3 to 3.5 or
-so. The code requires Python 2.6 or later and has been tested on Python
-running versions 2.3-2.7, and 3.2-3.5.
+so, including PyPy bytecode.
 
 Why this?
 ---------
 
 There were a number of decompyle, uncompile, uncompyle2, uncompyle3
-forks around. All of them come basically from the same code base, and
-almost all of them no longer maintained or worked on. Only one handled
-Python 3, and even there, only 3.2. This code pulls these together,
-handles a wide range of bytecodes and addresses a number of open
-issues in previous forks.
+forks around. All of them came basically from the same code base, and
+almost all of them no were no longer actively maintained. Only one
+handled Python 3, and even there, only 3.2. This code pulls these
+together and moves forward. It also addresses a number of open issues
+in the previous forks.
 
-What makes this different from other CPython bytecode decompilers?  Its
+What makes this different from other CPython bytecode decompilers?: its
 ability to deparse just fragments and give source-code information
 around a given bytecode offset.
 
@@ -41,6 +40,13 @@ location in more detail than just a line number.  It can be also used
 when source-code information does not exist and there is just bytecode
 information.
 
+Requirements
+------------
+
+This project requires Python 2.6 or later, PyPy 3-2.40, or PyPy-5.0.1.
+The bytecode files it can read has been tested on Python bytecodes from
+versions 2.3-2.7, and 3.2-3.5 and the above-mentioned PyPy versions.
+
 Installation
 ------------
 
diff --git a/test/bytecode_pypy2.7/03_if_elif.pyc b/test/bytecode_pypy2.7/03_if_elif.pyc
new file mode 100644
index 00000000..fb3de46d
Binary files /dev/null and b/test/bytecode_pypy2.7/03_if_elif.pyc differ
diff --git a/test/simple_source/stmts/03_if_elif.py b/test/simple_source/stmts/03_if_elif.py
index 0520d6ff..798f86b2 100644
--- a/test/simple_source/stmts/03_if_elif.py
+++ b/test/simple_source/stmts/03_if_elif.py
@@ -2,14 +2,19 @@
 # Bug in 2.6 is having multple COME_FROMs due to the
 # "and" in the "if" clause
 if __name__:
-    if __file__ and name:
+    if __file__ and __name__:
         pass
-    elif name:
+    elif __name__:
         pass
 
 # 2.6.9 transformer.py
 # Bug in 2.6 is multple COME_FROMs as a result
 # of the "or" in the "assert"
+
+# In PyPy the assert is handled via PyPy's unique JUMP_IF_NOT_DEBUG
+# instruction.
+
+# Also note that the "else: pass" is superfluous
 if __name__:
     pass
 elif __file__:
diff --git a/uncompyle6/parsers/parse2.py b/uncompyle6/parsers/parse2.py
index 16e4dcee..c688be7b 100644
--- a/uncompyle6/parsers/parse2.py
+++ b/uncompyle6/parsers/parse2.py
@@ -275,6 +275,14 @@ class Python2Parser(PythonParser):
                 self.add_unique_rule("call_function ::= expr CALL_METHOD",
                                      op, v, customize)
                 continue
+            elif k == 'JUMP_IF_NOT_DEBUG':
+                self.add_unique_rule(
+                    "stmt ::= assert_pypy", op, v, customize)
+                self.add_unique_rule(
+                    "assert_pypy ::= JUMP_IF_NOT_DEBUG assert_expr jmp_true "
+                    "LOAD_ASSERT RAISE_VARARGS_1 COME_FROM",
+                    op, v, customize)
+                continue
             elif op == 'BUILD_MAP':
                 kvlist_n = "kvlist_%s" % v
                 rule = kvlist_n + ' ::= ' + ' kv3' * v
diff --git a/uncompyle6/parsers/parse27.py b/uncompyle6/parsers/parse27.py
index aeede81e..8724351f 100644
--- a/uncompyle6/parsers/parse27.py
+++ b/uncompyle6/parsers/parse27.py
@@ -47,7 +47,10 @@ class Python27Parser(Python2Parser):
 
     def p_stmt27(self, args):
         """
+        # assert condition
         assert        ::= assert_expr jmp_true LOAD_ASSERT RAISE_VARARGS_1
+
+        # assert condition, expr
         assert2       ::= assert_expr jmp_true LOAD_ASSERT expr RAISE_VARARGS_2
 
         withstmt ::= expr SETUP_WITH POP_TOP suite_stmts_opt
diff --git a/uncompyle6/parsers/parse3.py b/uncompyle6/parsers/parse3.py
index 59b93d23..83ff1c66 100644
--- a/uncompyle6/parsers/parse3.py
+++ b/uncompyle6/parsers/parse3.py
@@ -250,6 +250,10 @@ class Python3Parser(PythonParser):
     def p_misc3(self, args):
         """
         try_middle ::= JUMP_FORWARD COME_FROM except_stmts END_FINALLY NOP COME_FROM
+        for_block ::= l_stmts
+        iflaststmtl ::= testexpr c_stmts_opt
+        iflaststmt    ::= testexpr c_stmts_opt34
+        c_stmts_opt34 ::= JUMP_BACK JUMP_ABSOLUTE c_stmts_opt
         """
 
     def p_jump3(self, args):
@@ -298,14 +302,6 @@ class Python3Parser(PythonParser):
         binary_subscr2 ::= expr expr DUP_TOP_TWO BINARY_SUBSCR
         '''
 
-    def p_misc3(self, args):
-        '''
-        for_block ::= l_stmts
-        iflaststmtl ::= testexpr c_stmts_opt
-        iflaststmt    ::= testexpr c_stmts_opt34
-        c_stmts_opt34 ::= JUMP_BACK JUMP_ABSOLUTE c_stmts_opt
-        '''
-
     @staticmethod
     def call_fn_name(token):
         """Customize CALL_FUNCTION to add the number of positional arguments"""
@@ -475,6 +471,14 @@ class Python3Parser(PythonParser):
                 self.add_unique_rule("call_function ::= expr CALL_METHOD",
                                      opname, token.attr, customize)
                 continue
+            elif opname == 'JUMP_IF_NOT_DEBUG':
+                self.add_unique_rule(
+                    "stmt ::= assert_pypy", opname, v, customize)
+                self.add_unique_rule(
+                    "assert_pypy ::= JUMP_IF_NOT_DEBUG assert_expr jmp_true "
+                    "LOAD_ASSERT RAISE_VARARGS_1 COME_FROM",
+                    opname, token.attr, customize)
+                continue
             elif opname_base == 'BUILD_MAP':
                 kvlist_n = "kvlist_%s" % token.attr
                 if self.version >= 3.5:
diff --git a/uncompyle6/scanners/scanner2.py b/uncompyle6/scanners/scanner2.py
index 8f7baa82..ff4b0bcb 100755
--- a/uncompyle6/scanners/scanner2.py
+++ b/uncompyle6/scanners/scanner2.py
@@ -192,7 +192,7 @@ class Scanner2(scan.Scanner):
                     opname = '%s_%d' % (opname, oparg)
                     if op != self.opc.BUILD_SLICE:
                         customize[opname] = oparg
-            elif self.is_pypy and opname == 'CALL_METHOD':
+            elif self.is_pypy and opname in ('CALL_METHOD', 'JUMP_IF_NOT_DEBUG'):
                 customize[opname] = oparg
             elif op == self.opc.JUMP_ABSOLUTE:
                 target = self.get_target(offset)
diff --git a/uncompyle6/scanners/scanner3.py b/uncompyle6/scanners/scanner3.py
index 9e645ed6..bdeb84e0 100644
--- a/uncompyle6/scanners/scanner3.py
+++ b/uncompyle6/scanners/scanner3.py
@@ -237,7 +237,7 @@ class Scanner3(scan.Scanner):
             elif op in self.varargs:
                 pos_args = inst.argval
                 opname = '%s_%d' % (opname, pos_args)
-            elif self.is_pypy and opname == 'CALL_METHOD':
+            elif self.is_pypy and opname in ('CALL_METHOD', 'JUMP_IF_NOT_DEBUG'):
                 customize['CALL_METHOD'] = argval
             elif opname == 'UNPACK_EX':
                 # FIXME: try with scanner and parser by
diff --git a/uncompyle6/semantics/pysource.py b/uncompyle6/semantics/pysource.py
index 971bf255..cdcb17e8 100644
--- a/uncompyle6/semantics/pysource.py
+++ b/uncompyle6/semantics/pysource.py
@@ -381,6 +381,10 @@ TABLE_DIRECT = {
     #######################
     'LOAD_CLASSDEREF':	( '%{pattr}', ),
 
+    ########################
+    # PyPy Additions
+    #######################
+    'assert_pypy':	( '%|assert %c\n' , 1 ),
 }