Concurrency. Johan Montelius KTH
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- Charla McCarthy
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1 Concurrency Johan Montelius KTH / 32
2 What is concurrency? 2 / 32
3 What is concurrency? Concurrency: (the illusion of) happening at the same time. 2 / 32
4 What is concurrency? Concurrency: (the illusion of) happening at the same time. A property of the programing model. 2 / 32
5 What is concurrency? Concurrency: (the illusion of) happening at the same time. A property of the programing model. Why would we want to do things concurrently? 2 / 32
6 What is parallelism? 3 / 32
7 What is parallelism? Parallelism: the ability to do several things at the same time. 3 / 32
8 What is parallelism? Parallelism: the ability to do several things at the same time. A property of the execution. 3 / 32
9 What is parallelism? Parallelism: the ability to do several things at the same time. A property of the execution. Why would we want to do things in parallel? 3 / 32
10 concurrency vs parallelism parallel execution sequential sequential programing model concurrent 4 / 32
11 Why in this course? The problem of concurrency was first encountered in the implementation of operating systems. It has since been a central part in any course on operating systems. 5 / 32
12 Why in this course? The problem of concurrency was first encountered in the implementation of operating systems. It has since been a central part in any course on operating systems. Today - concurrency is such an important topic that it could (and often do) fill up a course of it s own. 5 / 32
13 What is the problem? If concurrent activities are not manipulating a shared resource then it s not a problem. 6 / 32
14 What is the problem? If concurrent activities are not manipulating a shared resource then it s not a problem. We often want to share resources between concurrent activities. 6 / 32
15 What is the problem? If concurrent activities are not manipulating a shared resource then it s not a problem. We often want to share resources between concurrent activities. What do two UNIX processes share? 6 / 32
16 A process As we have learned - the unit of a computation. 7 / 32
17 A process As we have learned - the unit of a computation. a program 7 / 32
18 A process As we have learned - the unit of a computation. a program an instruction pointer 7 / 32
19 A process As we have learned - the unit of a computation. a program an instruction pointer a computation stack 7 / 32
20 A process As we have learned - the unit of a computation. a program an instruction pointer a computation stack a data segment for static data structures 7 / 32
21 A process As we have learned - the unit of a computation. a program an instruction pointer a computation stack a data segment for static data structures a heap for dynamic data structures 7 / 32
22 A process As we have learned - the unit of a computation. a program an instruction pointer a computation stack a data segment for static data structures a heap for dynamic data structures a file table of open files 7 / 32
23 A process As we have learned - the unit of a computation. a program an instruction pointer a computation stack a data segment for static data structures a heap for dynamic data structures a file table of open files signal handlers,... 7 / 32
24 A process As we have learned - the unit of a computation. a program an instruction pointer a computation stack a data segment for static data structures a heap for dynamic data structures a file table of open files signal handlers,... 7 / 32
25 A thread process 8 / 32
26 A thread code process 8 / 32
27 A thread code process data/heap 8 / 32
28 A thread code process stack data/heap 8 / 32
29 A thread code process IP stack data/heap 8 / 32
30 A thread code process IP stack data/heap 8 / 32
31 A thread code process IP stack data/heap 8 / 32
32 A thread code process IP stack data/heap 8 / 32
33 A thread code process IP stack data/heap 8 / 32
34 A thread code thread IP stack process data/heap 8 / 32
35 A thread code thread thread process IP stack IP stack data/heap 8 / 32
36 A thread code thread thread thread process IP stack IP stack IP stack data/heap 8 / 32
37 Virtual memory layout 9 / 32
38 Virtual memory layout 9 / 32
39 Virtual memory layout kernel 9 / 32
40 Virtual memory layout code (.text) kernel 9 / 32
41 Virtual memory layout code (.text) data kernel 9 / 32
42 Virtual memory layout code (.text) data heap kernel 9 / 32
43 Virtual memory layout code (.text) data heap stack kernel 9 / 32
44 Virtual memory layout code (.text) data heap stack stack kernel 9 / 32
45 threads API # include < pthread.h> # include <stdio.h> int loop = 10; int count = 0; void * hello ( char * name ) { for ( int i = 0; i < loop ; i ++) { count ++; printf (" hello %s %d\n", name, count ); } } int main () { pthread_ t p1; pthread_create (&p1, NULL, hello, "A"); pthread_join (p1, NULL ); return 0; 10 / 32
46 Concurrency 11 / 32
47 Concurrency What is the problem? 11 / 32
48 Cache coherence 12 / 32
49 Cache coherence The CPU uses caches to improve performance, a cache protocol must provide coherence. 12 / 32
50 Cache coherence The CPU uses caches to improve performance, a cache protocol must provide coherence. All write operations to a single memory location: are atomic, 12 / 32
51 Cache coherence The CPU uses caches to improve performance, a cache protocol must provide coherence. All write operations to a single memory location: are atomic, performed in program order and 12 / 32
52 Cache coherence The CPU uses caches to improve performance, a cache protocol must provide coherence. All write operations to a single memory location: are atomic, performed in program order and seen by all processes in a total order. 12 / 32
53 Cache coherence The CPU uses caches to improve performance, a cache protocol must provide coherence. All write operations to a single memory location: are atomic, performed in program order and seen by all processes in a total order. The C compiler can do optimizations that we are not prepared for. 12 / 32
54 Cache coherence The CPU uses caches to improve performance, a cache protocol must provide coherence. All write operations to a single memory location: are atomic, performed in program order and seen by all processes in a total order. The C compiler can do optimizations that we are not prepared for. There are several alternatives of how coherence is defined, this is one example 12 / 32
55 More problems 13 / 32
56 More problems What is the expected outcome of an execution? 13 / 32
57 Sequential consistency The outcome is the same as if all the operations of the program were executed: 14 / 32
58 Sequential consistency The outcome is the same as if all the operations of the program were executed: as atomic operations in some sequence, 14 / 32
59 Sequential consistency The outcome is the same as if all the operations of the program were executed: as atomic operations in some sequence, consistent with the program order of each thread. 14 / 32
60 the code int loop = 10; int count = 0; void * hello ( void *) { : for ( int i = 0; i < loop ; i ++) { count ++; } : } 15 / 32
61 the code int loop = 10; int count = 0; void * hello ( void *) { : for ( int i = 0; i < loop ; i ++) { count ++; } : }.L3 : movl count (% rip ), % eax addl $1, % eax movl %eax, count (% rip ) addl $1, -4(% rbp ) movl loop (% rip ), % eax cmpl %eax, -4(% rbp ) jl.l3 15 / 32
62 16 / 32
63 What about this? int count = 7; volatile int a = 0; volatile int b = 0; void critical (... ) { : while (1) { my = 1; if( your == 0) { count ++; my = 0; break ; } else { my = 0; } } } 17 / 32
64 What about this? int count = 7; volatile int a = 0; volatile int b = 0; void critical (... ) { : while (1) { my = 1; if( your == 0) { count ++; my = 0; break ; } else { my = 0; } } } Thread 1 Thread 2 17 / 32
65 What about this? int count = 7; volatile int a = 0; volatile int b = 0; void critical (... ) { : while (1) { my = 1; if( your == 0) { count ++; my = 0; break ; } else { my = 0; } } } Thread 1 Thread 2 a c b 17 / 32
66 What about this? int count = 7; volatile int a = 0; volatile int b = 0; void critical (... ) { : while (1) { my = 1; if( your == 0) { count ++; my = 0; break ; } else { my = 0; } } } Thread 1 Thread a c b 17 / 32
67 What about this? int count = 7; volatile int a = 0; volatile int b = 0; void critical (... ) { : while (1) { my = 1; if( your == 0) { count ++; my = 0; break ; } else { my = 0; } } } Thread 1 Thread 2 my = a c b 17 / 32
68 What about this? int count = 7; volatile int a = 0; volatile int b = 0; void critical (... ) { : while (1) { my = 1; if( your == 0) { count ++; my = 0; break ; } else { my = 0; } } } Thread 1 Thread 2 my = a c b 17 / 32
69 What about this? int count = 7; volatile int a = 0; volatile int b = 0; void critical (... ) { : while (1) { my = 1; if( your == 0) { count ++; my = 0; break ; } else { my = 0; } } } Thread 1 Thread 2 read your a c b 17 / 32
70 What about this? int count = 7; volatile int a = 0; volatile int b = 0; void critical (... ) { : while (1) { my = 1; if( your == 0) { count ++; my = 0; break ; } else { my = 0; } } } Thread 1 Thread a c b 17 / 32
71 What about this? int count = 7; volatile int a = 0; volatile int b = 0; void critical (... ) { : while (1) { my = 1; if( your == 0) { count ++; my = 0; break ; } else { my = 0; } } } Thread 1 Thread 2 read count a c b 17 / 32
72 What about this? int count = 7; volatile int a = 0; volatile int b = 0; void critical (... ) { : while (1) { my = 1; if( your == 0) { count ++; my = 0; break ; } else { my = 0; } } } Thread 1 Thread 2 count = a c b 17 / 32
73 What about this? int count = 7; volatile int a = 0; volatile int b = 0; void critical (... ) { : while (1) { my = 1; if( your == 0) { count ++; my = 0; break ; } else { my = 0; } } } Thread 1 Thread 2 count = a c b 17 / 32
74 What about this? int count = 7; volatile int a = 0; volatile int b = 0; void critical (... ) { : while (1) { my = 1; if( your == 0) { count ++; my = 0; break ; } else { my = 0; } } } Thread 1 Thread 2 my = a c b 17 / 32
75 What about this? int count = 7; volatile int a = 0; volatile int b = 0; void critical (... ) { : while (1) { my = 1; if( your == 0) { count ++; my = 0; break ; } else { my = 0; } } } Thread 1 Thread 2 my = a c b 17 / 32
76 Total Store Order (TSO) 18 / 32
77 Total Store Order (TSO) Modern CPU:s do not provide sequential consistency, they only provide Total Store Order. 18 / 32
78 Total Store Order (TSO) Modern CPU:s do not provide sequential consistency, they only provide Total Store Order. Write operations are performed in a total order. 18 / 32
79 Total Store Order (TSO) Modern CPU:s do not provide sequential consistency, they only provide Total Store Order. Write operations are performed in a total order. A process will immediately see its own store operations but, 18 / 32
80 Total Store Order (TSO) Modern CPU:s do not provide sequential consistency, they only provide Total Store Order. Write operations are performed in a total order. A process will immediately see its own store operations but,... a read operation might bypass a write operation of another memory location. 18 / 32
81 Total Store Order (TSO) Modern CPU:s do not provide sequential consistency, they only provide Total Store Order. Write operations are performed in a total order. A process will immediately see its own store operations but,... a read operation might bypass a write operation of another memory location. There are operations provided by the hardware that will give us better guarantees. 18 / 32
82 Total Store Order WARNING: the following sequence contains scenes that some viewers may find disturbing. P1 P2 19 / 32
83 Total Store Order WARNING: the following sequence contains scenes that some viewers may find disturbing. P1 P2 a b / 32
84 Total Store Order WARNING: the following sequence contains scenes that some viewers may find disturbing. P1 P2 a = 1 a b / 32
85 Total Store Order WARNING: the following sequence contains scenes that some viewers may find disturbing. P1 P2 a b 0 0 a = 1 b = 1 19 / 32
86 Total Store Order WARNING: the following sequence contains scenes that some viewers may find disturbing. P1 P2 a b 0 0 a = 1 b = 1 read b read a 19 / 32
87 Total Store Order WARNING: the following sequence contains scenes that some viewers may find disturbing. P1 P2 a b 0 0 a = 1 b = 1 read b read a / 32
88 Total Store Order WARNING: the following sequence contains scenes that some viewers may find disturbing. P1 P2 a b 0 0 a = 1 b = 1 read b read a / 32
89 Total Store Order WARNING: the following sequence contains scenes that some viewers may find disturbing. P1 P2 a b 0 0 a = 1 b = 1 read b read a / 32
90 Total Store Order WARNING: the following sequence contains scenes that some viewers may find disturbing. P1 P2 a b 0 0 a = 1 b = 1 read b read a / 32
91 Total Store Order WARNING: the following sequence contains scenes that some viewers may find disturbing. P1 P2 a b 0 0 a = 1 b = 1 read b read a / 32
92 Hardware support - TGH 20 / 32
93 Hardware support - TGH TGH - Thank God for Hardware 20 / 32
94 Hardware support - TGH TGH - Thank God for Hardware Fences, barriers etc: all load and store operations before a fence are guaranteed to be performed before any operations after the fence. Atomic-swap, test-and-set etc: an instructions that reads and writes to a memory location in one atomic operation. 20 / 32
95 Hardware support - TGH TGH - Thank God for Hardware Fences, barriers etc: all load and store operations before a fence are guaranteed to be performed before any operations after the fence. Atomic-swap, test-and-set etc: an instructions that reads and writes to a memory location in one atomic operation. Modern CPU:s provide very weak consistency guarantees if these operations are not used. Don t rely on the program order of your code. 20 / 32
96 Hardware support - TGH TGH - Thank God for Hardware Fences, barriers etc: all load and store operations before a fence are guaranteed to be performed before any operations after the fence. Atomic-swap, test-and-set etc: an instructions that reads and writes to a memory location in one atomic operation. Modern CPU:s provide very weak consistency guarantees if these operations are not used. Don t rely on the program order of your code. Better still - if possible, use a library that handles synchronization. 20 / 32
97 How to synchronize 21 / 32
98 How to synchronize Next week. 21 / 32
99 How to implement threads threads in user space threads in kernel space 22 / 32
100 How to implement threads threads in user space threads in kernel space kernel kernel 22 / 32
101 How to implement threads threads in user space threads in kernel space process kernel kernel 22 / 32
102 How to implement threads threads in user space threads in kernel space process kernel kernel 22 / 32
103 How to implement threads threads in user space threads in kernel space process kernel kernel 22 / 32
104 How to implement threads threads in user space threads in kernel space scheduler process kernel kernel 22 / 32
105 How to implement threads threads in user space threads in kernel space scheduler process kernel kernel 22 / 32
106 How to implement threads threads in user space threads in kernel space scheduler process kernel kernel 22 / 32
107 How to implement threads threads in user space threads in kernel space scheduler process kernel kernel 22 / 32
108 How to implement threads threads in user space threads in kernel space scheduler process processes kernel kernel 22 / 32
109 How to implement threads threads in user space threads in kernel space scheduler process processes kernel kernel 22 / 32
110 How to implement threads threads in user space threads in kernel space scheduler process processes kernel kernel 22 / 32
111 How to implement threads threads in user space threads in kernel space scheduler process processes kernel kernel 22 / 32
112 How to implement threads threads in user space threads in kernel space scheduler process processes kernel kernel 22 / 32
113 How to implement threads threads in user space threads in kernel space scheduler process processes kernel kernel 22 / 32
114 How to implement threads threads in user space threads in kernel space scheduler process processes kernel kernel 22 / 32
115 How to implement threads threads in user space threads in kernel space scheduler process processes kernel kernel 22 / 32
116 How to implement threads threads in user space threads in kernel space scheduler process processes kernel kernel 22 / 32
117 pros and cons Threads in user space: + You can change scheduler. 23 / 32
118 pros and cons Threads in user space: + You can change scheduler. + Very fast task switching. 23 / 32
119 pros and cons Threads in user space: + You can change scheduler. + Very fast task switching. - If the process is suspended, all threads are. 23 / 32
120 pros and cons Threads in user space: + You can change scheduler. + Very fast task switching. - If the process is suspended, all threads are. - A process can not utilize multiple cores. 23 / 32
121 pros and cons Threads in user space: + You can change scheduler. + Very fast task switching. - If the process is suspended, all threads are. - A process can not utilize multiple cores. Threads in kernel space: + One thread can suspend while other continue to execute. 23 / 32
122 pros and cons Threads in user space: + You can change scheduler. + Very fast task switching. - If the process is suspended, all threads are. - A process can not utilize multiple cores. Threads in kernel space: + One thread can suspend while other continue to execute. + A process can utilize multiple cores. 23 / 32
123 pros and cons Threads in user space: + You can change scheduler. + Very fast task switching. - If the process is suspended, all threads are. - A process can not utilize multiple cores. Threads in kernel space: + One thread can suspend while other continue to execute. + A process can utilize multiple cores. - Thread scheduling requires trap to kernel. 23 / 32
124 pros and cons Threads in user space: + You can change scheduler. + Very fast task switching. - If the process is suspended, all threads are. - A process can not utilize multiple cores. Threads in kernel space: + One thread can suspend while other continue to execute. + A process can utilize multiple cores. - Thread scheduling requires trap to kernel. - No way to change scheduler for a process. 23 / 32
125 pros and cons Threads in user space: + You can change scheduler. + Very fast task switching. - If the process is suspended, all threads are. - A process can not utilize multiple cores. Threads in kernel space: + One thread can suspend while other continue to execute. + A process can utilize multiple cores. - Thread scheduling requires trap to kernel. - No way to change scheduler for a process. 23 / 32
126 pros and cons Threads in user space: + You can change scheduler. + Very fast task switching. - If the process is suspended, all threads are. - A process can not utilize multiple cores. Threads in kernel space: + One thread can suspend while other continue to execute. + A process can utilize multiple cores. - Thread scheduling requires trap to kernel. - No way to change scheduler for a process. Which approach is taken by GNU/Linux? 23 / 32
127 Java, Haskell and Erlang How is this handled in high level languages? 24 / 32
128 Java, Haskell and Erlang How is this handled in high level languages? Java: each Java thread mapped to one operating system thread. 24 / 32
129 Java, Haskell and Erlang How is this handled in high level languages? Java: each Java thread mapped to one operating system thread. Erlang and Haskell: Language threads scheduled by the virtual machine. The virtual machine will use several operating system threads to have several outstanding system calls, utilize multiple cores etc. 24 / 32
130 Java, Haskell and Erlang How is this handled in high level languages? Java: each Java thread mapped to one operating system thread. Erlang and Haskell: Language threads scheduled by the virtual machine. The virtual machine will use several operating system threads to have several outstanding system calls, utilize multiple cores etc. 24 / 32
131 Java, Haskell and Erlang How is this handled in high level languages? Java: each Java thread mapped to one operating system thread. Erlang and Haskell: Language threads scheduled by the virtual machine. The virtual machine will use several operating system threads to have several outstanding system calls, utilize multiple cores etc. Java originally had user space threads, and introduced the name, green threads. This was later replaced by native threads i.e. each Java thread attached to a kernel operating system thread. 24 / 32
132 an experiment How long time does it take to send a message around a ring of a hundred threads? 25 / 32
133 pthread_create() - from man pages #include <pthread.h> 26 / 32
134 pthread_create() - from man pages #include <pthread.h> int pthread_create(pthread_t *thread, const pthread_attr_t *attr, void *(*start_routine) (void *), void *arg); 26 / 32
135 pthread_create() - from man pages #include <pthread.h> int pthread_create(pthread_t *thread, const pthread_attr_t *attr, void *(*start_routine) (void *), void *arg); pthread_t *thread : a pointer to a thread structure. 26 / 32
136 pthread_create() - from man pages #include <pthread.h> int pthread_create(pthread_t *thread, const pthread_attr_t *attr, void *(*start_routine) (void *), void *arg); pthread_t *thread : a pointer to a thread structure. const pthread_attr_t *attr : a pointer to a structure that are the attributes of the thread. 26 / 32
137 pthread_create() - from man pages #include <pthread.h> int pthread_create(pthread_t *thread, const pthread_attr_t *attr, void *(*start_routine) (void *), void *arg); pthread_t *thread : a pointer to a thread structure. const pthread_attr_t *attr : a pointer to a structure that are the attributes of the thread. void *(*start_routine) (void *) : a pointer to a function that takes one argument, (void*), with return value void*. void *arg : the arguments to the function, given as a a void *. 26 / 32
138 pthread_create() - from man pages #include <pthread.h> int pthread_create(pthread_t *thread, const pthread_attr_t *attr, void *(*start_routine) (void *), void *arg); pthread_t *thread : a pointer to a thread structure. const pthread_attr_t *attr : a pointer to a structure that are the attributes of the thread. void *(*start_routine) (void *) : a pointer to a function that takes one argument, (void*), with return value void*. void *arg : the arguments to the function, given as a a void *. Compile and link with -pthread. 26 / 32
139 Pthreads in Linux How do we implement threads in Linux? 27 / 32
140 Pthreads in Linux How do we implement threads in Linux? In Linux, both fork() and pthread_create() are implemented using the system call clone(). 27 / 32
141 Pthreads in Linux How do we implement threads in Linux? In Linux, both fork() and pthread_create() are implemented using the system call clone(). What is clone()? 27 / 32
142 clone() - from man pages Unlike fork(2), clone() allows the child process to share parts of its execution context with the calling process, such as the memory space, the table of file descriptors, and the table of signal handlers. 28 / 32
143 clone() - from man pages Unlike fork(2), clone() allows the child process to share parts of its execution context with the calling process, such as the memory space, the table of file descriptors, and the table of signal handlers. The system call clone() allows us to define how much should be shared: fork(): copy table of file descriptors, copy memory space and signal handlers i.e a perfect copy pthread_create(): share table of file descriptors and memory, copy signal handlers 28 / 32
144 clone() - from man pages Unlike fork(2), clone() allows the child process to share parts of its execution context with the calling process, such as the memory space, the table of file descriptors, and the table of signal handlers. The system call clone() allows us to define how much should be shared: fork(): copy table of file descriptors, copy memory space and signal handlers i.e a perfect copy pthread_create(): share table of file descriptors and memory, copy signal handlers Using clone() directly you can pick and choose of more than twenty parameters what the clone should share. 28 / 32
145 Thread Local Storage (TLS) All threads have their own stack, the heap is shared. 29 / 32
146 Thread Local Storage (TLS) All threads have their own stack, the heap is shared. Would it not be nice to have some thread local storage? 29 / 32
147 Thread Local Storage (TLS) All threads have their own stack, the heap is shared. Would it not be nice to have some thread local storage? thread int local = 42; 29 / 32
148 TLS implementation thread int local = 0; int global = 1; void * hello ( void * name ) { } int stk = 2; int sum = local + global + stk ; 30 / 32
149 TLS implementation thread int local = 0; int global = 1; void * hello ( void * name ) { } int stk = 2; int sum = local + global + stk ; pushq % rbp movq %rsp, % rbp movq %rdi, -24(% rbp ) movl $2, -8(% rbp ) movl %fs: local@tpoff, % edx movl global (% rip ), % eax addl %eax, % edx movl -8(% rbp ), % eax addl %edx, % eax movl %eax, -4(% rbp ) nop popq % rbp ret $ 30 / 32
150 remember segmentation The TLS is referenced using the segment selector fs:. 31 / 32
151 remember segmentation The TLS is referenced using the segment selector fs:. When we change thread, the kernel sets the fs selector register. 31 / 32
152 remember segmentation The TLS is referenced using the segment selector fs:. When we change thread, the kernel sets the fs selector register. The TLS has an original copy that is copied by each thread (even the mother thread) before any write operations. 31 / 32
153 remember segmentation The TLS is referenced using the segment selector fs:. When we change thread, the kernel sets the fs selector register. The TLS has an original copy that is copied by each thread (even the mother thread) before any write operations. You can take an address of a TLS structure and pass it to another thread. 31 / 32
154 remember segmentation The TLS is referenced using the segment selector fs:. When we change thread, the kernel sets the fs selector register. The TLS has an original copy that is copied by each thread (even the mother thread) before any write operations. You can take an address of a TLS structure and pass it to another thread. 31 / 32
155 Summary 32 / 32
156 Summary Concurrency vs parallelism? 32 / 32
157 Summary Concurrency vs parallelism? What is a thread? 32 / 32
158 Summary Concurrency vs parallelism? What is a thread? What do threads of process share? 32 / 32
159 Summary Concurrency vs parallelism? What is a thread? What do threads of process share? Sequential Consistency vs Total Store Order 32 / 32
160 Summary Concurrency vs parallelism? What is a thread? What do threads of process share? Sequential Consistency vs Total Store Order Threads in kernel or user space? 32 / 32
161 Summary Concurrency vs parallelism? What is a thread? What do threads of process share? Sequential Consistency vs Total Store Order Threads in kernel or user space? Threads in GNU/Linux and clone(). 32 / 32
162 Summary Concurrency vs parallelism? What is a thread? What do threads of process share? Sequential Consistency vs Total Store Order Threads in kernel or user space? Threads in GNU/Linux and clone(). What is Thread Local Storage? 32 / 32
163 Summary Concurrency vs parallelism? What is a thread? What do threads of process share? Sequential Consistency vs Total Store Order Threads in kernel or user space? Threads in GNU/Linux and clone(). What is Thread Local Storage? 32 / 32
164 Summary Concurrency vs parallelism? What is a thread? What do threads of process share? Sequential Consistency vs Total Store Order Threads in kernel or user space? Threads in GNU/Linux and clone(). What is Thread Local Storage? 32 / 32
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