In computer science, a semaphore is a variable or abstract data type that provides a simple but useful abstraction for controlling access by multiple processes to a common resource in a parallel programming or multi user environment.
A useful way to think of a semaphore is as a record of how many units of a particular resource are available, coupled with operations to safely (i.e., without race conditions) adjust that record as units are required or become free, and, if necessary, wait until a unit of the resource becomes available. Semaphores are a useful tool in the prevention of race conditions; however, their use is by no means a guarantee that a program is free from these problems. Semaphores which allow an arbitrary resource count are called counting semaphores, while semaphores which are restricted to the values 0 and 1 (or locked/unlocked, unavailable/available) are called binary semaphores.
Library analogy 
Suppose a library has 10 identical study rooms, intended to be used by one student at a time. To prevent disputes, students must request a room from the front counter if they wish to make use of a study room. When a student has finished using a room, the student must return to the counter and indicate that one room has become free. If no rooms are free, students wait at the counter until someone relinquishes a room.
The clerk at the front desk does not keep track of which room is occupied or who is using it, nor does he or she know if the room is actually being used, only the number of free rooms available, which she only knows correctly if all of the students actually use their room and return them when they're done. When a student requests a room, the clerk decreases this number. When a student releases a room, the clerk increases this number. Once access to a room is granted, the room can be used for as long as desired, and so it is not possible to book rooms ahead of time.
In this scenario the front desk represents a semaphore, the rooms are the resources, and the students represent processes. The value of the semaphore in this scenario is initially 10. When a student requests a room he or she is granted access and the value of the semaphore is changed to 9. After the next student comes, it drops to 8, then 7 and so on. If someone requests a room and the resulting value of the semaphore is negative, they are forced to wait. When multiple people are waiting, they will either wait in a queue, or use round-robin scheduling and race back to the counter when someone releases a room (depending on the nature of the semaphore).
Important observations 
When used for a pool of resources, a semaphore tracks only how many resources are free; it does not keep track of which of the resources are free. Some other mechanism (possibly involving more semaphores) may be required to select a particular free resource.
Processes are trusted to follow the protocol. Fairness and safety are likely to be compromised (which practically means a program may behave slowly, act erratically, hang or crash) if even a single process acts incorrectly. This includes:
- requesting a resource and forgetting to release it
- releasing a resource that was never requested
- holding a resource for a long time without needing it
- using a resource without requesting it first (or after releasing it).
Even if all processes follow these rules, multi-resource deadlock may still occur when there are different resources managed by different semaphores and when processes need to use more than one resource at a time, as illustrated by the dining philosophers problem.
Semantics and implementation 
Counting semaphores are equipped with two operations, historically denoted as V (also known as signal()) and P (or wait())(see below). Operation V increments the semaphore S, and operation P decrements it. The semantics of these operations are shown below. Square brackets are used to indicate atomic operations, i.e., operations which appear indivisible from the perspective of other processes.
The value of the semaphore S is the number of units of the resource that are currently available. The P operation wastes time or sleeps until a resource protected by the semaphore becomes available, at which time the resource is immediately claimed. The V operation is the inverse: it makes a resource available again after the process has finished using it. One important property of semaphore S is that its value cannot be changed except by using the V signal() and P wait() operations.
A simple way to understand wait() and signal() operations is:
wait(): Decrements the value of semaphore variable by 1. If the value becomes negative, the process executing wait() is blocked, i.e., added to the semaphore's queue.
signal(): Increments the value of semaphore variable by 1. After the increment, if the pre-increment value was negative (meaning there are processes waiting for a resource), it transfers a blocked process from the semaphore's waiting queue to the ready queue.
Many operating systems provide efficient semaphore primitives that unblock a waiting process when the semaphore is incremented. This means that processes do not waste time checking the semaphore value unnecessarily.
The counting semaphore concept can be extended with the ability to claim or return more than one "unit" from the semaphore, a technique implemented in UNIX. The modified V and P operations are as follows:
function V(semaphore S, integer I): [S ← S + I] function P(semaphore S, integer I): repeat: [if S >= 0: S ← S - I break]
To avoid starvation, a semaphore has an associated queue of processes (usually a first-in, first out). If a process performs a P operation on a semaphore that has the value zero, the process is added to the semaphore's queue. When another process increments the semaphore by performing a V operation, and there are processes on the queue, one of them is removed from the queue and resumes execution. When processes have different priorities the queue may be ordered by priority, so that the highest priority process is taken from the queue first.
If the implementation does not ensure atomicity of the increment, decrement and comparison operations, then there is a risk of increments or decrements being forgotten, or of the semaphore value becoming negative. Atomicity may be achieved by using a machine instruction that is able to read, modify and write the semaphore in a single operation. In the absence of such a hardware instruction, an atomic operation may be synthesized through the use of a software mutual exclusion algorithm. On uniprocessor systems, atomic operations can be ensured by temporarily suspending preemption or disabling hardware interrupts. This approach does not work on multiprocessor systems where it is possible for two programs sharing a semaphore to run on different processors at the same time. To solve this problem in a multiprocessor system a locking variable can be used to control access to the semaphore. The locking variable is manipulated using a test-and-set-lock (TSL) command.
Example: Producer/consumer problem 
In the producer-consumer problem, one process (the producer) generates data items and another process (the consumer) receives and uses them. They communicate using a queue of maximum size N and are subject to the following conditions:
- The consumer must wait for the producer to produce something if the queue is empty.
- The producer must wait for the consumer to consume something if the queue is full.
The semaphore solution to the producer-consumer problem tracks the state of the queue with two semaphores:
emptyCount, the number of empty places in the queue, and
fullCount, the number of elements in the queue. To maintain integrity,
emptyCount may be lower (but never higher) than the actual number of empty places in the queue, and
fullCount may be higher (but never lower) than the actual number of items in the queue. Empty places and items represent two kinds of resources, empty boxes and full boxes, and the semaphores
fullCount maintain control over these resources.
The binary semaphore
useQueue ensures that the integrity of the state of the queue itself is not compromised, for example by two producers attempting to add items to an empty queue simultaneously, thereby corrupting its internal state. Alternatively a mutex could be used in place of the binary semaphore.
emptyCount is initially N,
fullCount is initially 0, and
useQueue is initially 1.
The producer does the following repeatedly:
produce: P(emptyCount) P(useQueue) putItemIntoQueue(item) V(useQueue) V(fullCount)
The consumer does the following repeatedly:
consume: P(fullCount) P(useQueue) item ← getItemFromQueue() V(useQueue) V(emptyCount)
- A single consumer enters its critical section. Since
fullCountis 0, the consumer blocks.
- Several producers enter the producer critical section. No more than N producers may enter their critical section due to
emptyCountconstraining their entry.
- The producers, one at a time, gain access to the queue through
useQueueand deposit items in the queue.
- Once the first producer exits its critical section,
fullCountis incremented, allowing one consumer to enter its critical section.
emptyCount may be much lower than the actual number of empty places in the queue, for example in the case where many producers have decremented it but are waiting their turn on
useQueue before filling empty places. Note that
emptyCount + fullCount ≤ N always holds, with equality if and only if no producers or consumers are executing their critical sections.
Function name etymology 
The canonical names P and V come from the initials of Dutch words. V stands for verhogen ("increase"). Several explanations have been offered for P, including proberen for "to test" or "to try," passeren for "pass," and pakken for "grab." However, Dijkstra wrote that he intended P to stand for the portmanteau prolaag, short for probeer te verlagen, literally "try to reduce," or to parallel the terms used in the other case, "try to decrease." This confusion stems from the fact that the words for increase and decrease both begin with the letter V in Dutch, and the words spelled out in full would be impossibly confusing for those not familiar with the Dutch language.
In ALGOL 68, the Linux kernel, and in some English textbooks, the P and V operations are called, respectively, down and up. In software engineering practice, they are often called wait and signal, acquire and release (which the standard Java library uses), or pend and post. Some texts call them procure and vacate to match the original Dutch initials.
Semaphores vs. mutexes 
A mutex is essentially the same thing as a binary semaphore and sometimes uses the same basic implementation. The differences between them are:
- Mutexes have a concept of an owner, which is the process that locked the mutex. Only the process that locked the mutex can unlock it. In contrast, a semaphore has no concept of an owner. Any process can unlock a semaphore.
- Unlike semaphores, mutexes provide priority inversion safety. Since the mutex knows its current owner, it is possible to promote the priority of the owner whenever a higher-priority task starts waiting on the mutex.
- Mutexes also allow for recursive locking where the same thread can lock a single mutex multiple times. Subsequently, the same mutex must be unlocked as many times as it was locked. Recursive locking of semaphores is not possible.
- Mutexes also provide deletion safety, where the process holding the mutex cannot be accidentally deleted. Semaphores do not provide this.
See also 
- Cigarette smokers problem
- Dining philosophers problem
- Readers-writers problem
- Sleeping barber problem
- Producers-consumers problem
- Reentrant mutex, which can "count" but in a different manner to a counting semaphore.
- Asynchronous semaphore
Notes and references 
- Dijkstra, Edsger W. Cooperating sequential processes (EWD-123). E.W. Dijkstra Archive. Center for American History, University of Texas at Austin. (original; transcription) (September 1965)
- The Little Book of Semaphores Allen B. Downey
- Silberschatz, Galvin & Gagne 2008, p. 234
- Dijkstra, Edsger W. EWD-74. E.W. Dijkstra Archive. Center for American History, University of Texas at Austin. (original; transcription)
- Dijkstra, Edsger W. MULTIPROGAMMERING EN DE X8 (EWD-51). E.W. Dijkstra Archive. Center for American History, University of Texas at Austin. (original; transcription) (in Dutch)
- Dijkstra's own translation reads "try-and-decrease", although that phrase might be confusing for those unaware of the colloquial "try-and..."
- (PATCH 1/19) MUTEX: Introduce simple mutex implementation Linux Kernel Mailing List, 19 December 2005
- Linux Kernel hacking HOWTO LinuxGrill.com
- Silberschatz, Abraham; Galvin, Peter Baer; Gagne, Greg (2008), Operating System Concepts (8th ed.), John Wiley & Sons. Inc, ISBN 978-0-470-12872-5
- Dijkstra, Edsger W. Over Seinpalen (EWD-74). E.W. Dijkstra Archive. Center for American History, University of Texas at Austin. (original; transcription), Dijkstra introduces the concept (in Dutch)
- semaphore.h programming interface - The Open Group Base Specifications Issue 6, IEEE Std 1003.1
- The Little Book of Semaphores Allen B. Downey
- A pragmatic, historically oriented survey on the universality of synchronization primitives, Jouni Leppäjärvi