Record and expose how every process ends (M17.2)

The kernel records an ExitReason at all three death sites — clean exit,
fault (classified by vector), and process_kill — into a bounded ring
before the exit notification posts, so a supervisor's query never races
the notice. process_exit_reason is gated by the same supervisor check as
kill; runtime.process.exitReason is the stable interface. This is the
input restart policy reads (docs/process-lifecycle.md iron rule 2).

system/kernel/kernel.zig

@@ -412,13 +412,26 @@ fn recoverableFault(vector: u64) bool {
 /// plus a POST code and a persistent breadcrumb. (A ring-3 fault on a *borrowed*
 /// kernel thread — process.run, the user-pf isolation probe — also lands here: there
 /// is no scheduled process to kill.)
+/// Classify a CPU exception vector as the ExitReason a supervisor reads — the
+/// fault classes of docs/process-lifecycle.md. Faults are exit reasons, never
+/// signals delivered to the faulting process: recovery is restart, not a handler.
+fn exitReasonForVector(vector: u64) abi.ExitReason {
+    return switch (vector) {
+        14 => .segmentation_fault, // page fault
+        6 => .illegal_instruction, // invalid opcode
+        0, 16, 19 => .arithmetic_fault, // divide error, x87, SIMD
+        13 => .protection_fault, // general protection
+        else => .fault,
+    };
+}
+
 fn onException(state: *const architecture.CpuState) noreturn {
     if (architecture.fromUser(state) and scheduler.currentIsUserProcess() and recoverableFault(state.vector)) {
         statusPrint("\ndanos: process {d} ({s}) killed by {s} (vector {d}) on core {d}\n", .{ scheduler.currentId(), scheduler.current().name(), architecture.exceptionName(state.vector), state.vector, scheduler.currentCpuIndex() });
         statusPrint("  error code : 0x{x}\n", .{state.error_code});
         statusPrint("  IP         : 0x{x:0>16}\n", .{architecture.instructionPointer(state)});
         if (architecture.faultAddress(state)) |address| statusPrint("  fault addr : 0x{x:0>16}\n", .{address});
-        process.killCurrentProcess(); // reclaims everything, reschedules; never returns
+        process.killCurrentProcess(exitReasonForVector(state.vector)); // reclaims everything, reschedules; never returns
     }
 
     log.checkpoint(cp_exception);