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\title{Software Verification - assignment 1}
\author{Camil Staps}

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\section{Expressing the ABP in LTL}

\begin{enumerate}
    \item $\always(\lnot(A_{S0}\land A_{S1}))$.
    \item $\always(A_{S0}\lor A_{S1})$.
    \item $\always\eventually(A_{S0}\lor A_{S1})$.
    \item $\always(A_{Sb}\then\eventually B_{Sb})$, $b\in\{0,1\}$.
    \item $\always(A_{Sb}\then\next B_{Rb})$, $b\in\{0,1\}$.
    \item $\always(B_{R0}\then B_{S0}\until B_{R1})$.
    \item $\always(A_{S0}\then \lnot A_{S1}\until A_{R0})$.
    \item Cannot be expressed: there are no atomic propositions defined for `$A$ can send'.
    \item $\always(A_{Sb}\then(\eventually B_{Rb})\lor(\always\lnot B_{Rb}))$, $b\in\{0,1\}$. However, this is rather silly, since $\always((\eventually p)\lor(\always\lnot p))$ always holds.
\end{enumerate}

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