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PVS Bug 516


Synopsis:        4 more problems
Severity:        serious
Priority:        medium
Responsible:     owre
State:           open
Class:           sw-bug
Arrival-Date:    Mon Jan 15 11:20:07 2001
Originator:      Hendrik Tews
Organization:    inf.tu-dresden.de
Release:         PVS 2.3
Environment: 
 System:          
 Architecture: 

Description: 
  
  --z/0BOsYiyh
  Content-Type: text/plain; charset=us-ascii
  Content-Transfer-Encoding: 7bit
  
  Hi,
  
  the next four problems occur all in a big specification, I
  couldn't isolate them. Note, that all these problems are new in
  PVS 2.3, the whole specification was developed and completed in
  PVS 2.2. 
  
  1. Unprovable TCC in Space_t_model.pvs:
  
  In TCC Space_t_c_TCC12 let bindings are mixed up. As it is
  generated now, it is unprovable. It should be
  
  Space_t_c_TCC12: OBLIGATION
    FORALL (v: FVirtMem[max], p, phys: Addr, size: nat, 
            virt: Addr, x1: Space_tState):
      p = pde_addr(addr2bv(x1), virt) AND
       NOT bot?[bvec32](read[max](v, p))
       IMPLIES
       (FORALL (star_p):
          (star_p = down[bvec32](read[max](v, p)) AND
            NOT VALID_PDE(star_p))
           AND
           NOT ((size = SUPERPAGE_SIZE) AND
                 ((^[32](addr2bv(virt), SUPER_OFF)) = bvec0[20]) AND
                  ((^[32](addr2bv(phys), SUPER_OFF)) = bvec0[20]))
           IMPLIES
           (FORALL (new_pt):
              new_pt = kmem_page_alloc[FVirtMem, max](v, x1) AND
               NOT (new_pt = bvec0[32])
               IMPLIES
               (FORALL (v2):
                  v2 =
                   down[FVirtMem[max]]
                       (memset[FVirtMem, max]
                            (final_VirtMem[max])
                            (v, new_pt, bvec0[32], PAGE_SIZE))
                   IMPLIES
                      valid_virt?[FVirtMem, max]
                          (final_VirtMem[max])(v2)(new_pt))));
  
  
  2. With the old decision procedures an assert in the proof
     insert_super_ok hangs. 
  
  3. With the new decision procedures one gets lots of messages 
  
  ? chernikova: out of table space
  
  4. In subLemma assert_bug I tried to isolate problem 2. It
     contains the proof state of insert_super_ok.2.1.1.1.2.1.1 and
     the proof loads the same auto-rewrites. However in assert_bug
     there appears
  
  insert_up?[Space_tState, max]: 
      FORALL (c: [Space_tState -> Space_tIFace[Space_tState, max]],
              x: Space_tState):
        insert_up?(c)(x) =
         LET consistent?: [[Space_tState, FVirtMem[max]] -> bool] =
               consistent?(c),
             v_insert:
               [[Space_tState, FVirtMem[max], Addr, Addr, nat] ->
                  Lift[[Space_tState, FVirtMem[max], Status_t]]]
               = v_insert(c)
           IN
           FORALL (v: FVirtMem[max], phys, virt: Addr):
             phys + SUPERPAGE_SIZE + 1 <= max AND consistent?(x, v) IMPLIES
              up?(v_insert(x, v, phys, virt, SUPERPAGE_SIZE))
  
  
  but in insert_super_ok there is 
  
  insert_up?[Space_tState, max]: 
      FORALL (c: [Space_tState -> Space_tIFace[Space_tState, max]],
              x: Space_tState):
        insert_up?(c)(x) =
         LET consistent?: [[Space_tState, FVirtMem[max]] -> bool] =
               consistent?(c),
             v_insert:
               [[Space_tState, FVirtMem[max], Addr, Addr, nat] ->
                  Lift[[Space_tState, FVirtMem[max], Status_t]]]
               = v_insert(c)
           IN
           FORALL (v: FVirtMem[max], phys, virt: Addr):
             phys + SUPERPAGE_SIZE + 1 <= max AND consistent?(x, v) IMPLIES
              up?[[Space_tState, FVirtMem[max], Status_t]]
                  (v_insert(x, v, phys, virt, SUPERPAGE_SIZE))
  
  in the auto-rewrites. Why is there a difference? 
  
  The specification is appended as gziped tar file. The file
  pvs-batch.el typechecks everything.
  
  I would appreciate fixes and workarounds for all of the above
  problems, because I am stuck in porting the case study to PVS
  2.3.
  
  
  I use PVS Version 2.3 (patch level 1.2.2.120) on Debian Linux 2.2.18.
  
  Bye,
  
  Hendrik
  
  
  --z/0BOsYiyh
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  --z/0BOsYiyh--
  

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