def impl_invariants_py(ctx):
conj = []
conj.append(
z3.And(
util.global_value(ctx, '@counter') >= 0,
util.global_value(ctx, '@counter') <= dt.MAX_UINT))
return conj
def state_equiv(ctx, kernelstate):
conj = []
module = sys.modules[__name__]
for k in kernelstate._meta.keys():
if not k in kernelstate._structs:
continue
getattr(module, k + '_equiv')(conj, ctx, kernelstate)
conj.append(kernelstate.current == util.global_value(ctx, '@current'))
conj.append(
kernelstate.pages_ptr_to_int == util.global_ptr_to_int(ctx, '@pages'))
conj.append(kernelstate.proc_table_ptr_to_int == util.global_ptr_to_int(
ctx, '@proc_table'))
conj.append(kernelstate.page_desc_table_ptr_to_int ==
util.global_ptr_to_int(ctx, '@page_desc_table'))
conj.append(kernelstate.file_table_ptr_to_int == util.global_ptr_to_int(
ctx, '@file_table'))
conj.append(kernelstate.devices_ptr_to_int == util.global_ptr_to_int(
ctx, '@devices'))
conj.append(kernelstate.dmapages_ptr_to_int == util.global_ptr_to_int(
ctx, '@dmapages'))
conj.append(impl_invariants(ctx))
return z3.And(*conj)
def state_equiv(ctx, kernelstate): #add:开始时，状态等价（main.HV6.setUp调用的)
conj = []
module = sys.modules[__name__]
for k in kernelstate._meta.keys():
if not k in kernelstate._structs:
continue
if k == 'esbs' or k == 'to' or k == 'from_' or k == 'ehn' or k == 's_bufs' or k == 'current_esb': #/*new* jump the equiv verify of esbs/
continue #/*new*/
getattr(module, k + '_equiv')(conj, ctx, kernelstate)
conj.append(kernelstate.current == util.global_value(ctx, '@current'))
conj.append(
kernelstate.pages_ptr_to_int == util.global_ptr_to_int(ctx, '@pages'))
conj.append(kernelstate.proc_table_ptr_to_int == util.global_ptr_to_int(
ctx, '@proc_table'))
conj.append(kernelstate.esb_table_ptr_to_int == util.global_ptr_to_int(
ctx, '@esb_table')) #/*new*/
conj.append(kernelstate.page_desc_table_ptr_to_int ==
util.global_ptr_to_int(ctx, '@page_desc_table'))
conj.append(kernelstate.file_table_ptr_to_int == util.global_ptr_to_int(
ctx, '@file_table'))
conj.append(kernelstate.devices_ptr_to_int == util.global_ptr_to_int(
ctx, '@devices'))
conj.append(kernelstate.dmapages_ptr_to_int == util.global_ptr_to_int(
ctx, '@dmapages'))
conj.append(impl_invariants(ctx))
return z3.And(*conj)
def state_equiv(ctx, state):
conj = []
conj.append(state.counter == util.global_value(ctx, '@counter'))
return z3.And(*conj)
def impl_invariants_py(ctx):
conj = []
pid = util.FreshBitVec('pid', dt.pid_t)
pn = util.FreshBitVec('pn', dt.pn_t)
fd = util.FreshBitVec('fd', dt.fd_t)
# fn = util.FreshBitVec('fn', dt.fn_t)
# embryos, runnable or running processes own the pages in their structs
conj.append(z3.ForAll([pid], z3.Implies(
z3.Or(util.global_field_element(ctx, '@proc_table', 'state', pid) == dt.proc_state.PROC_EMBRYO,
util.global_field_element(
ctx, '@proc_table', 'state', pid) == dt.proc_state.PROC_RUNNING,
util.global_field_element(
ctx, '@proc_table', 'state', pid) == dt.proc_state.PROC_RUNNABLE,
util.global_field_element(ctx, '@proc_table', 'state', pid) == dt.proc_state.PROC_SLEEPING),
z3.And(
pn_has_owner_and_type(ctx, util.global_field_element(
ctx, '@proc_table', 'page_table_root', pid), pid, dt.page_type.PAGE_TYPE_X86_PML4),
pn_has_owner_and_type(ctx, util.global_field_element(
ctx, '@proc_table', 'hvm', pid), pid, dt.page_type.PAGE_TYPE_PROC_DATA),
pn_has_owner_and_type(ctx, util.global_field_element(
ctx, '@proc_table', 'stack', pid), pid, dt.page_type.PAGE_TYPE_PROC_DATA),
))))
# sleeping processes own their ipc_page
conj.append(z3.ForAll([pid], z3.Implies(z3.And(is_pid_valid(pid),
util.global_field_element(ctx, '@proc_table', 'state', pid) != dt.proc_state.PROC_ZOMBIE),
z3.Implies(util.global_field_element(ctx, '@proc_table', 'use_io_bitmap', pid) != 0,
z3.And(
is_pn_valid(util.global_field_element(ctx, '@proc_table', 'io_bitmap_a', pid)),
is_pn_valid(util.global_field_element(ctx, '@proc_table', 'io_bitmap_b', pid)),
pn_has_owner_and_type(ctx, util.global_field_element(ctx, '@proc_table', 'io_bitmap_a', pid), pid, dt.page_type.PAGE_TYPE_PROC_DATA),
pn_has_owner_and_type(ctx, util.global_field_element(ctx, '@proc_table', 'io_bitmap_b', pid), pid, dt.page_type.PAGE_TYPE_PROC_DATA))))))
# sleeping processes own their ipc_page
conj.append(z3.ForAll([pid], z3.Implies(is_pid_valid(pid),
z3.Implies(util.global_field_element(ctx, '@proc_table', 'state', pid) == dt.proc_state.PROC_SLEEPING,
pn_has_owner_and_type(ctx, util.global_field_element(ctx, '@proc_table', 'ipc_page', pid), pid, dt.page_type.PAGE_TYPE_FRAME)))))
conj.append(z3.ForAll([pid],
z3.And(
is_pn_valid(util.global_field_element(
ctx, '@proc_table', 'page_table_root', pid)),
is_pn_valid(util.global_field_element(
ctx, '@proc_table', 'hvm', pid)),
is_pn_valid(util.global_field_element(ctx, '@proc_table', 'stack', pid)))))
# sleeping processes' ipc fd are empty if valid
conj.append(z3.ForAll([pid], z3.Implies(is_pid_valid(pid),
z3.Implies(util.global_field_element(ctx, '@proc_table', 'state', pid) == dt.proc_state.PROC_SLEEPING,
z3.Implies(is_fd_valid(util.global_field_element(ctx, '@proc_table', 'ipc_fd', pid)),
util.global_field_element(ctx, '@proc_table', 'ofile', pid,
z3.ZeroExt(32, util.global_field_element(ctx, '@proc_table', 'ipc_fd', pid))) == z3.BitVecVal(0, dt.fn_t))))))
conj.append(z3.ForAll([pid],
z3.And(
is_pn_valid(util.global_field_element(
ctx, '@proc_table', 'page_table_root', pid)),
is_pn_valid(util.global_field_element(
ctx, '@proc_table', 'hvm', pid)),
is_pn_valid(util.global_field_element(ctx, '@proc_table', 'stack', pid)))))
# page has an owner <=> page is not free
conj.append(z3.ForAll([pn], z3.Implies(is_pn_valid(pn),
is_pid_valid(util.global_field_element(ctx, '@page_desc_table', 'pid', pn)) ==
(util.global_field_element(ctx, '@page_desc_table', 'type', pn) != dt.page_type.PAGE_TYPE_FREE))))
# unused procs have zero refcnt
conj.append(z3.ForAll([pid], z3.Implies(
z3.And(
is_pid_valid(pid),
util.global_field_element(ctx, '@proc_table', 'state', pid) == dt.proc_state.PROC_UNUSED),
z3.And(
util.global_field_element(ctx, '@proc_table', 'nr_children', pid) == z3.BitVecVal(0, dt.size_t),
util.global_field_element(ctx, '@proc_table', 'nr_fds', pid) == z3.BitVecVal(0, dt.size_t),
util.global_field_element(ctx, '@proc_table', 'nr_pages', pid) == z3.BitVecVal(0, dt.size_t),
util.global_field_element(ctx, '@proc_table', 'nr_dmapages', pid) == z3.BitVecVal(0, dt.size_t),
util.global_field_element(ctx, '@proc_table', 'nr_devs', pid) == z3.BitVecVal(0, dt.size_t),
util.global_field_element(ctx, '@proc_table', 'nr_ports', pid) == z3.BitVecVal(0, dt.size_t),
util.global_field_element(ctx, '@proc_table', 'nr_vectors', pid) == z3.BitVecVal(0, dt.size_t),
util.global_field_element(ctx, '@proc_table', 'nr_intremaps', pid) == z3.BitVecVal(0, dt.size_t)))))
# conj.append(z3.ForAll([pid, fd], z3.Implies(z3.And(is_pid_valid(pid), is_fd_valid(fd)),
# z3.Implies(
# util.global_field_element(ctx, '@proc_table', 'nr_fds', pid) == z3.BitVecVal(0, dt.size_t),
# z3.Not(is_fn_valid(util.global_field_element(ctx, '@proc_table', 'ofile', pid, z3.ZeroExt(32, fd))))))))
# # unused procs have zero fds
# conj.append(z3.ForAll([pid, fd], z3.Implies(z3.And(is_pid_valid(pid), is_fd_valid(fd)),
# z3.Implies(
# util.global_field_element(ctx, '@proc_table', 'state', pid) == dt.proc_state.PROC_UNUSED,
# util.global_field_element(ctx, '@proc_table', 'ofile', pid, z3.ZeroExt(32, fd)) == z3.BitVecVal(0, dt.fn_t)))))
# fds valid
conj.append(z3.ForAll([pid, fd], z3.Implies(z3.And(is_pid_valid(pid), is_fd_valid(fd)),
z3.Or(
util.global_field_element(ctx, '@proc_table', 'ofile', pid, z3.ZeroExt(32, fd)) == z3.BitVecVal(0, dt.fn_t),
is_fn_valid(util.global_field_element(ctx, '@proc_table', 'ofile', pid, z3.ZeroExt(32, fd)))))))
# # FD_NONE's refcount is 0
# conj.append(z3.ForAll([fn], z3.Implies(
# z3.And(
# is_fn_valid(fn),
# util.global_field_element(ctx, '@file_table', 'type', fn) == dt.file_type.FD_NONE),
# util.global_field_element(ctx, '@file_table', 'refcnt', fn) == z3.BitVecVal(0, dt.size_t))))
# # FD never points to FD_NONE
# conj.append(z3.ForAll([pid, fd], z3.Implies(
# z3.And(
# is_pid_valid(pid),
# is_fd_valid(fd),
# is_fn_valid(util.global_field_element(ctx, '@proc_table', 'ofile', pid, z3.ZeroExt(32, fd)))),
# util.global_field_element(ctx, '@file_table', 'type',
# util.global_field_element(ctx, '@proc_table', 'ofile', pid, z3.ZeroExt(32, fd))) != dt.file_type.FD_NONE)))
# page freelist is well formed
conj.append(z3.ForAll([pn], z3.Implies(is_pn_valid(pn),
z3.And(
is_pn_valid(util.global_field_element(ctx, '@page_desc_table', ['link', 'prev'], pn)),
is_pn_valid(util.global_field_element(ctx, '@page_desc_table', ['link', 'next'], pn))))))
# ready queue is well formed
# don't use is_pid_valid as some ->prev and ->next are zeros
conj.append(z3.ForAll([pid], z3.Implies(is_pid_bounded(pid),
z3.And(
is_pid_bounded(util.global_field_element(ctx, '@proc_table', ['ready', 'prev'], pid)),
is_pid_bounded(util.global_field_element(ctx, '@proc_table', ['ready', 'next'], pid))))))
# Current is always a valid and running
conj.append(is_pid_valid(util.global_value(ctx, '@current')))
conj.append(util.global_field_element(ctx, '@proc_table', 'state', util.global_value(ctx, '@current')) == dt.proc_state.PROC_RUNNING)
return z3.And(*conj)