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PVS Bug 1020


Synopsis:        AUTO_REWRITE+ not so reliable
Severity:        serious
Priority:        medium
Responsible:     owre (Sam Owre)
State:           open
Class:           sw-bug
Arrival-Date:    Thu Dec 13 13:15:00 2007
Originator:      Rick Butler
Organization:    larc.nasa.gov
Release:         PVS 4.1
Environment: 
 System:          
 Architecture: 

Description: 
  --Boundary-00=_IrZYHGm958aSSwc
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  Sam,
      For along time now, I have noticed that AUTO_REWRITE+ does not work relia
 bly, but have
  not had time to explore it.  Today I created a simple test theory which impor
 ts the theory
  group (in NASA algebra library).  There are several AUTO_REWRITE+ statements
  that should fire but don't.
  
  play[T:Type+,*:[T,T->T],one:T]: THEORY
  
  BEGIN
     ASSUMING IMPORTING group_def[T,*,one]
  
         fullset_is_group: ASSUMPTION group?(fullset[T])
  
     ENDASSUMING
  
     IMPORTING group[T,*,one], group_rew[T,*,one]
  
     H,G:       VAR group
     a,b,x,y,z: VAR T
     m:         VAR nat
  
  
     test_auto: LEMMA a*inverse(a)*z = z
  
     ta2:       LEMMA inverse(a)*a*one*z*b*inverse(b) = z
  
     ta3:       LEMMA inverse(inverse(x))*inverse(one) = x
  
  END play
  
  The first lemma "test_auto" should completely prove with (assert), but it doe
 sn't.
  If you first issue the command
  
     (auto-rewrite-theory "group_rew")
  
  which has the same rewrites then it does prove with only (assert).   Lemma
  ta3 should also prove with (assert).
  
  I have attached test.dmp.gz which has these files.
  
  
  Rick
  
  
  --Boundary-00=_IrZYHGm958aSSwc
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