LARA

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sav08:sign_analysis_of_expressions_and_programs [2008/05/07 01:08]
vkuncak
sav08:sign_analysis_of_expressions_and_programs [2008/05/07 23:16]
giuliano
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 ====== Sign Analysis of Expressions and Programs ====== ====== Sign Analysis of Expressions and Programs ======
 +
  
 ===== Sign Analysis of Expressions ===== ===== Sign Analysis of Expressions =====
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 Abstract domain: $A = \{ neg, nul, pos, \top \}$ Abstract domain: $A = \{ neg, nul, pos, \top \}$
  
-Abstract operations: $\oplus, \otimes : A^2 \to A$ defined by tables:+Abstract operations: $\oplus, \otimes : A^2 \to A$ defined by tables:\\ 
 +\\ 
 +$\begin{tabular}{ |c |c |c |c |c |c |} 
 +\hline \oplus & neg & nul & pos & \top \\ 
 +\hline ​ neg & neg & neg & \top & \top \\ 
 +\hline ​ nul & neg & nul & pos & \top \\ 
 +\hline pos & \top & pos & pos & \top \\ 
 +\hline \top & \top & \top & \top & \top \\ \hline 
 +\end{tabular} 
 +$\\ 
 +\\ 
 +$\begin{tabular}{ |c |c |c |c |c |c |} 
 +\hline \otimes & neg & nul & pos & \top \\ 
 +\hline ​ neg & pos & nul & neg & \top \\ 
 +\hline ​ nul & nul & nul & nul & nul \\ 
 +\hline pos & neg & nul & pos & \top \\ 
 +\hline \top & \top & nul & \top & \top \\ \hline 
 +\end{tabular} 
 +$
  
 ===== Sign Analysis of Programs ===== ===== Sign Analysis of Programs =====