\begin{figure} Compatibility between values, outcomes and return types: $$\begin{array}{rclr} "Out_normal", "Tvoid" & \# & "Vundef"& \\ "Out_normal", "Tvoid" & \# & "Vundef"& \\ "Out_return", \, "Tvoid" & \# & "Vundef" & \\ "Out_return" \some v, \, \tau & \# & v & \mbox{when}\,\tau~\not="Tvoid" \end{array}$$ \numberrules Function calls: \begin{pannel} \irule G, E |- {a_{fun}}^{\tau}, M \evalexpr v_{fun}, \tr_1, M_1 & G, E |- a_{args}, M_1 \evalexpr v_{args}, \tr_2, M_2 \\ G[v_{fun}] = \some{f} & "type_of_fundef" (f) = \tau \\ G |- f(v_{args}), M_2 \evalfunc v_{res}, \tr_3, M_3 -------------------------------------------------- G, E |- {({a_{fun}}^{\tau} (a_{args}))}^{\tau'}, M \evalexpr v_{res}, \cat {\cat {\tr_1} \tr_2} \tr_3, M_3 \end \label{rule:25} \end{pannel} Function invocations: \begin{pannel} \irule "alloc" ({\it \emptyset_E}, M, "params" (f) + "vars" (f),E) = (M_1, b) \\ "bind_params" (E, M_1, "params" (f), v_{args}) = M_2 \\ G, E |- "body" (f), M_2 \evalstmt \out, \tr, M_3 \\ \out, \, "fn_return" (f) \, "#" \, v_{res} -------------------------------------------------- G, E |- f(v_{args}), M \evalstmt v_{res}, \tr, "free" (M_3, b) \end \label{rule:26} \irule v_{args}, v_{res} \cong^{\sigma} e_{args}, e_{res} -------------------------------------------------- G, E |- <\id \, \sigma>(v_{args}), M \evalstmt v_{res}, [\id \,e_{args}\, e_{res}], M \end \label{rule:27} \end{pannel} \caption{Dynamic semantics of function call} \label{fig:dynsem3} \end{figure}