// PRISM Model of a decision for a shortcut
// - A hiker has to make a decision of taking a shortcut.
// - On the shortcut a native can be asked for getting to the target waypoint.
// - The native can lead the hiker to the goal or can give a proposal for getting to 0.9 to the target.

smg

player hiker
  [startShortcut], [startWay], [waypoint1], [waypoint2target], [waypoint2start], [target], [lost]
endplayer

player native
  [wait], [shortcutBad], [shortcutGood]
endplayer

// 0 bob, 1 native,
global move : [0..1] init 0;

global shortcut : [0..1] init 0;
global target : [0..1] init 0;
global lost : [0..1] init 0;

label "target" = target=1;

module hikerModule
  startpoint : [0..1] init 1;
  waypoints  : [0..2] init 0;

  [startShortcut]    move=0 & startpoint=1 -> (shortcut'=1) & (startpoint'=0) & (move'=1);
  [startWay]    move=0 & startpoint=1 -> (waypoints'=1) & (startpoint'=0) & (move'=1);
  [waypoint1] move=0 & waypoints=1  -> (waypoints'=2) & (move'=1);
  [waypoint2target] move=0 & waypoints=2 -> (waypoints'=0) & (target'=1) & (move'=1);
  [waypoint2start] move=0 & waypoints=2 -> (waypoints'=0) & (startpoint'=1) & (move'=1);
  [target] move=0 & target=1 -> (move'=1);
  [lost]   move=0 & lost=1 -> (move'=1);
endmodule

module nativeModule
  [wait]      move=1 & !(shortcut=1) -> (move'=0);
  [shortcutBad] move=1 & shortcut=1 -> 0.9: (shortcut'=0) & (target'=1) & (move'=0) + 0.1: (shortcut'=0) & (lost'=1) & (move'=0);
  [shortcutGood] move=1 & shortcut=1 -> (shortcut'=0) & (target'=1) & (move'=0);
endmodule