In modal logic, Check which of the following statements are satisfied by program P$1$:

P$1$def $((\backslash$alpha $!$n$.$ nil$)\backslash |(\backslash$beta $!$n$.$ nil$))+((\backslash$gamma $?$m$.$ nil$)\backslash |(\backslash$gamma $?$m$.$ nil$))$

$\backslash$Phi $$def $[\backslash$alpha $!$n$][\backslash$gamma $?$m$][]$ V

$\backslash$Gamma $$def $\backslash$mu X$.[\backslash$gamma $?$m$]$V $[]$X