Questionnaire-2024/smt_and_z3/0012.tex

\item \self 
Let $x$ and $y$ be two 32-bit vector variables.
Complete the script such that it checks whether $abs(x)$
can be computed in the following way:
  \begin{equation}
  y = x >> 31 \\
  \end{equation}
  \begin{equation} \label{eq:equivalence}
  abs(x) = (x \lxor y) - y
  \end{equation}

The script should compare the result with the built-in function \texttt{Abs(x)} from z3. 

%  Complete the following python code constraint statements, such that the call to \texttt{solver.check()} checks the equivalence of Equation~\ref{eq:equivalence}.


  \begin{pythonSourceCode}
    from z3 import *

    solver = Solver()















    result = solver.check()
    print(result)


  \end{pythonSourceCode}