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PVS Bug 817


Synopsis:        typepred bug?
Severity:        serious
Priority:        medium
Responsible:     owre (Sam Owre)
State:           open
Class:           sw-bug
Arrival-Date:    Thu Dec  4 23:15:01 2003
Originator:      David Naumann
Organization:    cs.stevens-tech.edu
Release:         PVS 3.1
Environment: 
 System:          
 Architecture: 

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  --0-417453701-1070608257=:27959
  Content-Type: TEXT/PLAIN; charset=US-ASCII
  
  Hi,
  
  I'm only catching an hour here or there for my project so maybe I just
  haven't thought this through.  But it seems to me typepred isn't
  fully tracking dependent type info.
  
  As an example, in theory  "semanticDomains" the declaration named
  "experiment" is trivially true because it asserts that  g(s)  has a
  certain type dependent on s, and that's the type declared for g.  Although
  the  formula is provable by grind, if you unfold the formula with skosimp
  and then do
   (typepred "g!1(s!1)")
  the result is
  
  {-1}  every(valOfType(T!1))(g!1(s!1))
    |-------
  [1]   liftContValOfType(T!1, s!1`1)(g!1(s!1))
  
  whereas, it seems to me, typepred should have made an antecedent identical
  to the succedent.
  
  In more complicated examples grind doesn't do the job and trying to do it
  "by hand" I have to do a lot of work where typepred seems like what's
  needed.
  
  --dave
  
  P.S. Since I haven't boiled it down to a minimal example for you, here's
  what these definitions are about, in case it's helpful.  They're all in
  the same theory.
  
  Predicate
  
   valOfType(T)(v)
  
  that says v is a value in the type denoted by T (in my deep embedding).
  
  Then predicate
  
   contValOfType(T,h)(v)
  
  conjoins the additional condition that if v is a location then it's
  in the domain of heap h, and
  
  
  extends this to lifted values.   Finally,
  
   semExpr(V,T)(g)
  
  says that g is a dependent function sending a V-state s to a
  liftContValOfType(T,s`1) where s`1 is the heap part of state s.
  
  The upshot is that in the prover, typepred should say that g(s) has type
   liftContValOfType(T,s`1)
  not just
   valOfType(T)
  --0-417453701-1070608257=:27959
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  2nR3WsWxg6fLcXi6hE/4hE/4hE/4hE/4hE/4hM//D+k5Do8A8DwA
  
  --0-417453701-1070608257=:27959--

How-To-Repeat: 

Fix: 
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