LARA

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sav08:forward_vcg [2009/03/10 20:47]
vkuncak
sav08:forward_vcg [2010/03/09 17:18]
vkuncak
Line 84: Line 84:
    ​sp(\{s.\ P\}, r_c(c_1)) = \{ s.\ sp_F(P,c_1) \}    ​sp(\{s.\ P\}, r_c(c_1)) = \{ s.\ sp_F(P,c_1) \}
 \] \]
 +
 +
  
  
Line 89: Line 91:
 ===== Example ===== ===== Example =====
  
-Let's take a small example with precondition: $\{x \ge 5 \wedge y \ge 3\}$ and code:+Precondition: $\{x \ge 5 \wedge y \ge 3\}$. Code:
 <​code>​ <​code>​
 x = x + y + 10 x = x + y + 10
Line 95: Line 97:
  
 \[ \[
-sp(x \ge 5 \land y \ge 3, x=x+1) = \exists x_0.\ x_0 \ge 5 \wedge y \ge 3\ \land\ x = x_0 + y+\begin{array}{l} 
 +sp(x \ge 5 \land y \ge 3, x=x+y+10) = \\ 
 +                   \exists x_0.\ x_0 \ge 5 \wedge y \ge 3\ \land\ x = x_0 + y + 10 \\ 
 +\leftrightarrow \ y \ge 3 \land x \ge y + 15 
 +\end{array}
 \] \]