UB_problem.xml

<?xml version="1.0" encoding="utf-8"?>
<!DOCTYPE nta PUBLIC '-//Uppaal Team//DTD Flat System 1.1//EN' 'http://www.it.uu.se/research/group/darts/uppaal/flat-1_2.dtd'>
<nta>
	<declaration>//Insert declarations of global clocks, variables, constants and channels.
const int M = 2;			//The number of men
const int W = 2;			//The number of women
int MCS = 0;          //The number of men in CS.
int WCS = 0;          //The number of women in CS.
int MD = 0;           //The number of delayed men.
int WD = 0;           //The number of delayed women.

const int X = 3;			//The number of semaphores. You might want to add some
const int Men_guard = 0;			//Semaphore number 0 is named Men_guard
const int Women_guard = 1;			//Semaphore number 1 is named Women_guard
const int Mutex_guard = 2;          //Mutex semaphore

int[0,1] sem[X] = { 0, 0, 1 };		//Make sure to initialize the semaphores correct
int[0,1] ready[M+W];			//ready[i]==0 implies that process i is blocked
int[0,M+W] ID;				//Global variable used to communicate process id to semaphore

urgent chan P[X];			//Channels used to invoke a semaphore P() operation
urgent chan V[X];			//Channels used to invoke a semaphore V() operation
urgent chan Go;				//Channel used on all transitions with no other syncronization. Implementing progression

</declaration>
	<template>
		<name x="5" y="5">Semaphore</name>
		<parameter>const int s</parameter>
		<declaration>//Insert local declarations of clocks, variables and constants.
int[0,M+W] Blocked = 0;         		//Number of processes currently blocked on this semaphore
int[0,M+W+1] Queue[M+W];			//FOFO queue of blocked processes
int[0,M+W+1] pid;				//Identity of process to be blocked or released
int[0,M+W] i;					//Iterator used for shifting the queue</declaration>
		<location id="id0" x="319" y="178">
		</location>
		<location id="id1" x="323" y="306">
			<committed/>
		</location>
		<location id="id2" x="195" y="306">
			<committed/>
		</location>
		<location id="id3" x="527" y="178">
			<committed/>
		</location>
		<location id="id4" x="719" y="178">
			<committed/>
		</location>
		<init ref="id0"/>
		<transition>
			<source ref="id0"/>
			<target ref="id1"/>
			<label kind="synchronisation" x="391" y="256">P[s]?</label>
			<label kind="assignment" x="391" y="272">pid = ID,
ready[pid] = 0,
ID = 0</label>
			<nail x="408" y="246"/>
		</transition>
		<transition>
			<source ref="id1"/>
			<target ref="id0"/>
			<label kind="guard" x="221" y="221">Blocked == 0 &amp;&amp;
sem[s]&gt;0</label>
			<label kind="assignment" x="221" y="255">sem[s]--,
ready[pid] = 1</label>
		</transition>
		<transition>
			<source ref="id1"/>
			<target ref="id2"/>
			<label kind="guard" x="229" y="306">sem[s]==0</label>
		</transition>
		<transition>
			<source ref="id2"/>
			<target ref="id0"/>
			<label kind="assignment" x="51" y="212">Queue[Blocked] = pid,
Blocked++</label>
			<nail x="195" y="178"/>
		</transition>
		<transition>
			<source ref="id0"/>
			<target ref="id3"/>
			<label kind="synchronisation" x="399" y="178">V[s] ?</label>
		</transition>
		<transition>
			<source ref="id3"/>
			<target ref="id0"/>
			<label kind="guard" x="374" y="93">Blocked==0</label>
			<label kind="assignment" x="374" y="110">sem[s]++</label>
			<nail x="527" y="90"/>
		</transition>
		<transition>
			<source ref="id3"/>
			<target ref="id4"/>
			<label kind="guard" x="559" y="154">Blocked &gt; 0</label>
			<label kind="assignment" x="559" y="186">pid = Queue[0],
ready[pid] = 1,
Blocked--,
pid = 0</label>
		</transition>
		<transition>
			<source ref="id4"/>
			<target ref="id4"/>
			<label kind="guard" x="775" y="162">i &lt;= Blocked</label>
			<label kind="assignment" x="775" y="178">Queue[i] = Queue[i+1],
i++</label>
			<nail x="791" y="146"/>
			<nail x="791" y="234"/>
		</transition>
		<transition>
			<source ref="id4"/>
			<target ref="id0"/>
			<label kind="guard" x="423" y="10">i &gt; Blocked</label>
			<label kind="assignment" x="423" y="34">i = 0</label>
			<nail x="719" y="34"/>
			<nail x="319" y="34"/>
		</transition>
	</template>
	<template>
		<name x="5" y="5">Hurry</name>
		<location id="id5" x="312" y="208">
		</location>
		<init ref="id5"/>
		<transition>
			<source ref="id5"/>
			<target ref="id5"/>
			<label kind="synchronisation" x="376" y="200">Go!</label>
			<nail x="368" y="184"/>
			<nail x="368" y="240"/>
		</transition>
	</template>
	<template>
		<name x="5" y="5">Man</name>
		<parameter>const int id</parameter>
		<location id="id6" x="-365" y="-620">
		</location>
		<location id="id7" x="-229" y="-705">
		</location>
		<location id="id8" x="-229" y="-620">
			<name x="-246" y="-612">ManCS</name>
		</location>
		<location id="id9" x="-365" y="-467">
		</location>
		<location id="id10" x="-510" y="-374">
			<name x="-493" y="-382">MutCS2</name>
		</location>
		<location id="id11" x="-518" y="-790">
			<name x="-544" y="-782">MutCS</name>
		</location>
		<location id="id12" x="-365" y="-790">
		</location>
		<location id="id13" x="-697" y="-790">
			<name x="-721" y="-822">Start</name>
		</location>
		<location id="id14" x="-229" y="-790">
		</location>
		<location id="id15" x="-510" y="-221">
		</location>
		<location id="id16" x="-365" y="-357">
		</location>
		<location id="id17" x="-51" y="-467">
		</location>
		<location id="id18" x="-204" y="-357">
		</location>
		<location id="id19" x="-204" y="-467">
		</location>
		<location id="id20" x="-204" y="-220">
			<name x="-229" y="-212">Sig1End</name>
		</location>
		<location id="id21" x="-510" y="-552">
		</location>
		<location id="id22" x="-892" y="-467">
		</location>
		<location id="id23" x="-697" y="-552">
		</location>
		<location id="id24" x="-697" y="-467">
		</location>
		<location id="id25" x="-697" y="-671">
			<name x="-707" y="-705">Sig2End</name>
		</location>
		<location id="id26" x="-510" y="-467">
		</location>
		<init ref="id13"/>
		<transition>
			<source ref="id6"/>
			<target ref="id9"/>
			<label kind="synchronisation" x="-365" y="-561">Go ?</label>
			<label kind="assignment" x="-365" y="-544">MCS++</label>
		</transition>
		<transition>
			<source ref="id7"/>
			<target ref="id8"/>
			<label kind="synchronisation" x="-229" y="-680">P[Men_guard]!</label>
			<label kind="assignment" x="-229" y="-663">ID = id</label>
		</transition>
		<transition>
			<source ref="id11"/>
			<target ref="id12"/>
			<label kind="guard" x="-493" y="-824">ready[id] == 1</label>
			<label kind="synchronisation" x="-493" y="-807">Go ?</label>
		</transition>
		<transition>
			<source ref="id10"/>
			<target ref="id26"/>
			<label kind="guard" x="-510" y="-450">ready[id] == 1</label>
			<label kind="synchronisation" x="-510" y="-433">Go?</label>
			<label kind="assignment" x="-510" y="-416">MCS--</label>
		</transition>
		<transition>
			<source ref="id15"/>
			<target ref="id10"/>
			<label kind="synchronisation" x="-612" y="-323">P[Mutex_guard]!</label>
			<label kind="assignment" x="-552" y="-306">ID = id</label>
		</transition>
		<transition>
			<source ref="id12"/>
			<target ref="id6"/>
			<label kind="guard" x="-365" y="-731">WCS &lt;= 0</label>
			<label kind="synchronisation" x="-365" y="-714">Go?</label>
		</transition>
		<transition>
			<source ref="id8"/>
			<target ref="id6"/>
			<label kind="guard" x="-340" y="-620">ready[id] == 1</label>
			<label kind="synchronisation" x="-340" y="-603">Go ?</label>
		</transition>
		<transition>
			<source ref="id14"/>
			<target ref="id7"/>
			<label kind="synchronisation" x="-229" y="-765">V[Mutex_guard]!</label>
		</transition>
		<transition>
			<source ref="id12"/>
			<target ref="id14"/>
			<label kind="guard" x="-331" y="-841">WCS &gt; 0</label>
			<label kind="synchronisation" x="-331" y="-824">Go?</label>
			<label kind="assignment" x="-332" y="-807">MD++</label>
		</transition>
		<transition>
			<source ref="id13"/>
			<target ref="id11"/>
			<label kind="synchronisation" x="-646" y="-824">P[Mutex_guard]!</label>
			<label kind="assignment" x="-646" y="-807">ID = id</label>
		</transition>
		<transition>
			<source ref="id17"/>
			<target ref="id20"/>
			<label kind="synchronisation" x="-51" y="-399">V[Mutex_guard]!</label>
			<nail x="-51" y="-348"/>
		</transition>
		<transition>
			<source ref="id18"/>
			<target ref="id20"/>
			<label kind="synchronisation" x="-204" y="-340">V[Women_guard]!</label>
		</transition>
		<transition>
			<source ref="id16"/>
			<target ref="id20"/>
			<label kind="synchronisation" x="-323" y="-340">V[Men_guard]!</label>
		</transition>
		<transition>
			<source ref="id9"/>
			<target ref="id16"/>
			<label kind="guard" x="-357" y="-433">WCS == 0 &amp;&amp; MD &gt; 0</label>
			<label kind="synchronisation" x="-357" y="-416">Go?</label>
			<label kind="assignment" x="-357" y="-399">MD--</label>
		</transition>
		<transition>
			<source ref="id19"/>
			<target ref="id18"/>
			<label kind="guard" x="-195" y="-433">MCS == 0 &amp;&amp; WD &gt; 0</label>
			<label kind="synchronisation" x="-195" y="-416">Go?</label>
			<label kind="assignment" x="-195" y="-399">WD--</label>
		</transition>
		<transition>
			<source ref="id19"/>
			<target ref="id17"/>
			<label kind="guard" x="-186" y="-501">MCS != 0 || WD &lt;= 0</label>
			<label kind="synchronisation" x="-186" y="-484">Go?</label>
		</transition>
		<transition>
			<source ref="id9"/>
			<target ref="id19"/>
			<label kind="guard" x="-347" y="-501">WCS != 0 || MD &lt;= 0</label>
			<label kind="synchronisation" x="-347" y="-484">Go?</label>
		</transition>
		<transition>
			<source ref="id20"/>
			<target ref="id15"/>
			<label kind="synchronisation" x="-408" y="-204">Go?</label>
		</transition>
		<transition>
			<source ref="id22"/>
			<target ref="id25"/>
			<label kind="synchronisation" x="-909" y="-629">V[Mutex_guard]!</label>
			<nail x="-892" y="-560"/>
		</transition>
		<transition>
			<source ref="id23"/>
			<target ref="id25"/>
			<label kind="synchronisation" x="-757" y="-612">V[Women_guard]!</label>
		</transition>
		<transition>
			<source ref="id21"/>
			<target ref="id25"/>
			<label kind="synchronisation" x="-603" y="-629">V[Men_guard]!</label>
		</transition>
		<transition>
			<source ref="id26"/>
			<target ref="id21"/>
			<label kind="guard" x="-646" y="-535">WCS == 0 &amp;&amp; MD &gt; 0</label>
			<label kind="synchronisation" x="-544" y="-518">Go?</label>
			<label kind="assignment" x="-544" y="-501">MD--</label>
		</transition>
		<transition>
			<source ref="id24"/>
			<target ref="id23"/>
			<label kind="guard" x="-833" y="-535">MCS == 0 &amp;&amp; WD &gt; 0</label>
			<label kind="synchronisation" x="-731" y="-518">Go?</label>
			<label kind="assignment" x="-731" y="-501">WD--</label>
		</transition>
		<transition>
			<source ref="id24"/>
			<target ref="id22"/>
			<label kind="guard" x="-850" y="-467">MCS != 0 || WD &lt;= 0</label>
			<label kind="synchronisation" x="-850" y="-450">Go?</label>
		</transition>
		<transition>
			<source ref="id26"/>
			<target ref="id24"/>
			<label kind="guard" x="-663" y="-467">WCS != 0 || MD &lt;= 0</label>
			<label kind="synchronisation" x="-663" y="-450">Go?</label>
		</transition>
		<transition>
			<source ref="id25"/>
			<target ref="id13"/>
			<label kind="synchronisation" x="-697" y="-739">Go?</label>
		</transition>
	</template>
	<template>
		<name x="5" y="5">Woman</name>
		<parameter>const int id</parameter>
		<location id="id27" x="-365" y="-620">
		</location>
		<location id="id28" x="-229" y="-705">
		</location>
		<location id="id29" x="-229" y="-620">
			<name x="-246" y="-612">WomCS</name>
		</location>
		<location id="id30" x="-365" y="-467">
		</location>
		<location id="id31" x="-510" y="-374">
			<name x="-493" y="-382">MutCS2</name>
		</location>
		<location id="id32" x="-518" y="-790">
			<name x="-544" y="-782">MutCS</name>
		</location>
		<location id="id33" x="-365" y="-790">
		</location>
		<location id="id34" x="-697" y="-790">
			<name x="-721" y="-822">Start</name>
		</location>
		<location id="id35" x="-229" y="-790">
		</location>
		<location id="id36" x="-510" y="-221">
		</location>
		<location id="id37" x="-365" y="-357">
		</location>
		<location id="id38" x="-51" y="-467">
		</location>
		<location id="id39" x="-204" y="-357">
		</location>
		<location id="id40" x="-204" y="-467">
		</location>
		<location id="id41" x="-204" y="-220">
			<name x="-229" y="-212">Sig1End</name>
		</location>
		<location id="id42" x="-510" y="-552">
		</location>
		<location id="id43" x="-892" y="-467">
		</location>
		<location id="id44" x="-697" y="-552">
		</location>
		<location id="id45" x="-697" y="-467">
		</location>
		<location id="id46" x="-697" y="-671">
			<name x="-707" y="-705">Sig2End</name>
		</location>
		<location id="id47" x="-510" y="-467">
		</location>
		<init ref="id34"/>
		<transition>
			<source ref="id27"/>
			<target ref="id30"/>
			<label kind="synchronisation" x="-365" y="-561">Go ?</label>
			<label kind="assignment" x="-365" y="-544">WCS++</label>
		</transition>
		<transition>
			<source ref="id28"/>
			<target ref="id29"/>
			<label kind="synchronisation" x="-229" y="-680">P[Women_guard]!</label>
			<label kind="assignment" x="-229" y="-663">ID = id</label>
		</transition>
		<transition>
			<source ref="id32"/>
			<target ref="id33"/>
			<label kind="guard" x="-493" y="-824">ready[id] == 1</label>
			<label kind="synchronisation" x="-493" y="-807">Go ?</label>
		</transition>
		<transition>
			<source ref="id31"/>
			<target ref="id47"/>
			<label kind="guard" x="-510" y="-450">ready[id] == 1</label>
			<label kind="synchronisation" x="-510" y="-433">Go?</label>
			<label kind="assignment" x="-510" y="-416">WCS--</label>
		</transition>
		<transition>
			<source ref="id36"/>
			<target ref="id31"/>
			<label kind="synchronisation" x="-612" y="-323">P[Mutex_guard]!</label>
			<label kind="assignment" x="-552" y="-306">ID = id</label>
		</transition>
		<transition>
			<source ref="id33"/>
			<target ref="id27"/>
			<label kind="guard" x="-365" y="-731">MCS &lt;= 0</label>
			<label kind="synchronisation" x="-365" y="-714">Go?</label>
		</transition>
		<transition>
			<source ref="id29"/>
			<target ref="id27"/>
			<label kind="guard" x="-340" y="-620">ready[id] == 1</label>
			<label kind="synchronisation" x="-340" y="-603">Go ?</label>
		</transition>
		<transition>
			<source ref="id35"/>
			<target ref="id28"/>
			<label kind="synchronisation" x="-229" y="-765">V[Mutex_guard]!</label>
		</transition>
		<transition>
			<source ref="id33"/>
			<target ref="id35"/>
			<label kind="guard" x="-331" y="-841">MCS &gt; 0</label>
			<label kind="synchronisation" x="-331" y="-824">Go?</label>
			<label kind="assignment" x="-332" y="-807">WD++</label>
		</transition>
		<transition>
			<source ref="id34"/>
			<target ref="id32"/>
			<label kind="synchronisation" x="-646" y="-824">P[Mutex_guard]!</label>
			<label kind="assignment" x="-646" y="-807">ID = id</label>
		</transition>
		<transition>
			<source ref="id38"/>
			<target ref="id41"/>
			<label kind="synchronisation" x="-51" y="-399">V[Mutex_guard]!</label>
			<nail x="-51" y="-348"/>
		</transition>
		<transition>
			<source ref="id39"/>
			<target ref="id41"/>
			<label kind="synchronisation" x="-204" y="-340">V[Women_guard]!</label>
		</transition>
		<transition>
			<source ref="id37"/>
			<target ref="id41"/>
			<label kind="synchronisation" x="-323" y="-340">V[Men_guard]!</label>
		</transition>
		<transition>
			<source ref="id30"/>
			<target ref="id37"/>
			<label kind="guard" x="-357" y="-433">WCS == 0 &amp;&amp; MD &gt; 0</label>
			<label kind="synchronisation" x="-357" y="-416">Go?</label>
			<label kind="assignment" x="-357" y="-399">MD--</label>
		</transition>
		<transition>
			<source ref="id40"/>
			<target ref="id39"/>
			<label kind="guard" x="-195" y="-433">MCS == 0 &amp;&amp; WD &gt; 0</label>
			<label kind="synchronisation" x="-195" y="-416">Go?</label>
			<label kind="assignment" x="-195" y="-399">WD--</label>
		</transition>
		<transition>
			<source ref="id40"/>
			<target ref="id38"/>
			<label kind="guard" x="-186" y="-501">MCS != 0 || WD &lt;= 0</label>
			<label kind="synchronisation" x="-186" y="-484">Go?</label>
		</transition>
		<transition>
			<source ref="id30"/>
			<target ref="id40"/>
			<label kind="guard" x="-347" y="-501">WCS != 0 || MD &lt;= 0</label>
			<label kind="synchronisation" x="-347" y="-484">Go?</label>
		</transition>
		<transition>
			<source ref="id41"/>
			<target ref="id36"/>
			<label kind="synchronisation" x="-408" y="-204">Go?</label>
		</transition>
		<transition>
			<source ref="id43"/>
			<target ref="id46"/>
			<label kind="synchronisation" x="-909" y="-629">V[Mutex_guard]!</label>
			<nail x="-892" y="-560"/>
		</transition>
		<transition>
			<source ref="id44"/>
			<target ref="id46"/>
			<label kind="synchronisation" x="-757" y="-612">V[Women_guard]!</label>
		</transition>
		<transition>
			<source ref="id42"/>
			<target ref="id46"/>
			<label kind="synchronisation" x="-603" y="-629">V[Men_guard]!</label>
		</transition>
		<transition>
			<source ref="id47"/>
			<target ref="id42"/>
			<label kind="guard" x="-646" y="-535">WCS == 0 &amp;&amp; MD &gt; 0</label>
			<label kind="synchronisation" x="-544" y="-518">Go?</label>
			<label kind="assignment" x="-544" y="-501">MD--</label>
		</transition>
		<transition>
			<source ref="id45"/>
			<target ref="id44"/>
			<label kind="guard" x="-833" y="-535">MCS == 0 &amp;&amp; WD &gt; 0</label>
			<label kind="synchronisation" x="-731" y="-518">Go?</label>
			<label kind="assignment" x="-731" y="-501">WD--</label>
		</transition>
		<transition>
			<source ref="id45"/>
			<target ref="id43"/>
			<label kind="guard" x="-850" y="-467">MCS != 0 || WD &lt;= 0</label>
			<label kind="synchronisation" x="-850" y="-450">Go?</label>
		</transition>
		<transition>
			<source ref="id47"/>
			<target ref="id45"/>
			<label kind="guard" x="-663" y="-467">WCS != 0 || MD &lt;= 0</label>
			<label kind="synchronisation" x="-663" y="-450">Go?</label>
		</transition>
		<transition>
			<source ref="id46"/>
			<target ref="id34"/>
			<label kind="synchronisation" x="-697" y="-739">Go?</label>
		</transition>
	</template>
	<system>//Insert process assignments.
SEM_0 = Semaphore ( Men_guard );		//Add necessary semaphores and processes
SEM_1 = Semaphore ( Women_guard );
SEM_2 = Semaphore ( Mutex_guard );
M1 = Man ( 0 ); 
M2 = Man ( 1 ); 
W1 = Woman ( 2 );
W2 = Woman ( 3 );
G = Hurry ();


//Edit system definition.
system SEM_0, SEM_1, SEM_2, M1, M2, W1, W2, G;	//Add semaphores and processes as needed</system>
	<queries>
		<query>
			<formula>M1.MutCS --&gt; M1.Sig1End
			</formula>
			<comment>
			</comment>
		</query>
		<query>
			<formula>M1.MutCS2 --&gt; M1.Sig2End
			</formula>
			<comment>
			</comment>
		</query>
		<query>
			<formula>A&lt;&gt; !(M1.MutCS &amp;&amp; M2.MutCS)
			</formula>
			<comment>
			</comment>
		</query>
		<query>
			<formula>A&lt;&gt; !(M1.MutCS2 &amp;&amp; M2.MutCS2)
			</formula>
			<comment>
			</comment>
		</query>
		<query>
			<formula>A[] !deadlock
			</formula>
			<comment>
			</comment>
		</query>
	</queries>
</nta>