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Strand User's Manual ==================== (Version: 9) 三個和尚沒水喝 (Chinese Proverb) I. Introduction This is an open-source implementation of the "Strand" parallel Prolog dialect as described in [1]. Strand is written in Forth and runs on Linux x86-64/ARM/PPC64, Mac OS X x86-64 and OpenBSD amd64 systems, has no dependencies and is entirely self-contained. "Strand" is a trademark of Artificial Intelligence Ltd. II. Build and installation After unpacking the distribution archive you first need to create the Forth interpreter on top of which which the Strand VM is implemented. Run the following command to obtain the "ff" binary which will be used to build the VM: forth/boot/ff-<ARCH>-<OS> 'include forth/tools.f' \ 'include forth/<OS>.f' 'include forth/sys.f' 'save ff' bye Where "<OS>" is what "uname" should usually report. Next, create the actual Strand VM: ./ff 'include strand.f' 'make strandvm' You can copy "strandvm" now into a location that is listed in your PATH environment variable, or just run it from the current directory. The "strandvm" has no external dependencies, but needs access to the location where the compiled library code can be found. See below how to override this library directory. There is also a shell script called "strand" that is used to compile Strand sources into loadable modules, and run these in several forms. The "strand" also tool provides a useful abstraction for managing of multiple nodes and machines. See below for more information about this. The easiest way is to create a symbolic link to the "strand" script is the following, assuming "$HOME/bin" exists and is in your PATH: ln -s <strand-distribution-directory>/strand $HOME/bin If you want to make modifications to the Forth system, check out the file "README" in the "forth" directory for more information. Note that this is only necessary if you want to change or enhance the base system (or fix bugs) - binaries for all supported platforms are included in this distribution. III. Usage The Strand VM is invoked like this: strandvm [-h] [-s] [-hs] [-d] [-l LOGFILE] [-p PROCESS] [-i LIBDIR] [-f MSGFILE] [-P PORT] [-m MACHINE] [-r SHIFT] MODULE ... [-- ...] The MODULE arguments give compiled Strand modules that should be loaded and executed. At least one module must given, where the optional ".sm" extension may be omitted. The module will be loaded if it can be found in the current directory in a directory named "lib" or in one of the directories specified with the "-i" option. The command line options that may be given are the following: -h show basic usage information. -v print version and exit. -d enable debug mode. -s enable logging of statistical information. -hs enable logging of heap-statistics only. -l LOGFILE write logging output to LOGFILE, if LOGFILE already exists, the output is appended. If LOGFILE is "-" logging output is written to the console. -p PROCESS names module and process that should be invoked on startup (defaults to "main"). -i LIBDIR prepend LIBDIR to the list of directories where compiled modules can be found. This option may be given multiple times. -f MSGFILE specify memory-mapped file used for inter-node communication (defaults to "strand.msg"). -P PORT specify port-number for inter-node communication. -m MACHINE specify machine ID for tunnelled node-communication. -r SHIFT specify shift-amount for internal idle-clock. -- ignore all following command line options. If a module loaded on the command line exports a process named "$start" with arity zero, then this process is spawned at startup. If the "-p" option is given and has the form "MODULE:PROCESSNAME" and MODULE has been loaded and exports a zero-arity process named PROCESSNAME, then that process is spawned. Otherwise the zero-arity process with the name given is started in all loaded modules that export this name. The virtual machine executes until one of the following conditions occur: - All processed terminated - No unsuspended active processes exist (deadlock) - A process head fails to match - A fatal error was signalled - The strandvm process is interrupted or terminated To run Strand code, you first need to compile a source module into the internal representation required by "strandvm". Given this file: % hello.st main :- writeln('hello, world!'). Run these commands to compile and execute it: strand -c hello.st strandvm hello or simply strand hello.st All filenames given to "strand -c" will be translated to loadable ".sm" files in the same directory as the source file. If "-o" is given, only a single FILENAME may be given. "strandvm" must be in your PATH so "strand" can find it to run the Strand compiler. The sources for the Strand library is in the "src" directory. "lib" contains precompiled versions of all files in "src", to recompile one of the files in case you make changes, simply compile them: strand -c src/FILE.st -o lib/FILE.sm IV. The Strand Language Strand is a logic programming language for parallel computing, derived from Parlog[2] which itself is a dialect of Prolog[3]. While the language superficially resembles Prolog, depth-first search and backtracking are not provided. Instead execution of a goal spawns a number of processes that execute concurrently. Strand provides pattern matching but no general unification, instead logic variables must be explicitly assigned, which simplifies the semantics considerably. The following gives a basic introduction to the language, for more information consult the book[1] which gives a detailed description of the language and explains the programming concepts extensively. A Strand program consists of a number of process definitions or "rules", where each process definition has the form H :- G, ... | B, ... . H is the head of the process definition, G, ... are guard expressions and B, ... are the body. If no guards are present the "|" operator may be omitted. An empty body is denoted by "true". If a process definition has no guards and no body, the ":-" operator can be omitted. Invocation of a process finds the first process definition with the given name and arity, a matching head and where all goals evaluate to true. When multiple definitions for the given name and arity exist, they are tried in an unspecified order until one match succeeds or the process suspends. Guards are primitive logical operators and can not be defined by user code. If the evaluation of a guard expression fails, the resolution of another untried process definition is attempted until no remaining rule exists. If no process definition can be matched, the whole virtual machine terminates with an error message. Body goals are primitive or user-defined process invocations that spawn new processes and add them to the pool of currently active processes. Each goal of a rule is spawned in parallel in an unspecified order. An example: % print even numbers between 1 and 10 main :- count(1). count(11). count(N) :- N =< 10 | even(N), N2 is N + 1, count(N2). even(N) :- M is N \\ 2, even(M, N). even(0, N) :- writeln(N). even(_, _) :- otherwise | true. Even if somewhat contrived, this demonstrates a number of Strand constructs. After invocation of "main", a recursive loop is started by invoking "count(1)" that counts from 1 to 10. If the argument matches 11, "count" simply terminates. On an argument less or equal to 10, the second rule is fired and invokes 3 processes: a call to "even", a process that adds 1 to the value of "N" and assigns it to the fresh variable "N2" and another recursive invocation of "count" with the increased count as argument. Note here that the two rules of "count" are mutually exclusive, note also that all spawned processes of the body execute in parallel. "even" with a single argument (arity 1) takes the modulo of its argument and 2 and invokes "even/2" (process definitions are identified by name and arity both). "even/2" will either match the first argument with 0 and write the second argument to the console or will do nothing and terminate. "otherwise" is a catch-all guard that succeeds if all textually preceding rules did not match or any guard in them failed. The second rule of "even/2" has no body but a guard, so a default body of "true" must be given. Variables in Strand are logical variables - they are first-class objects, can only be assigned once and may be assigned to other variables. Assignment in Strand is always explicit, by using the ":=" operator. If a variable has no value (is "unbound"), then a process suspends until the variable has been bound elsewhere. Matching of an unbound variable in a rule head will suspend execution of the rule. Subsequent binding may still make the match fail and another rule will be tried. Referencing an unbound variable in a primitive process or an arithmetic expression will suspend the process (not the rule - all other processes in a rule body still execute until encountering unbound variables themselves). The order of execution of currently running Strand processes is entirely determined by variable-dependencies. Sequencing and synchronization is fully controlled by the data-flow from producers (processes that assign values to variables) and consumers (processes that depend on the values of variables). Strand is dynamically typed and supports the following value types: - Integral signed numbers - Immutable strings - Tuples: sequences of 0 or more values - Singly-linked lists of values - Variables - Byte blocks - Modules: collections of process definitions - Ports: identity-preserving multi-writer streams Numbers are constrained to the word-width of the underlying machine (32 or 64 bits) with one bit used for marking. Intermediate results in arithmetic expressions use the full word width. Numbers can be given in an arbitrary base from 2 to 36 by using the "RADIX'NUMBER" syntax. If RADIX is "0", then NUMBER is interpreted as a character and the resulting value is the character's code. Strings must begin with a lowercase letter and consist only of letters numbers or the "_" (underscore) character. Strings containing other characters must be enclosed in '...' (single quote). Escape sequences of the form "\X" are supported where X may be "n" (newline), "t" (tab), "e" (esc) or "r" (carriage return). Sequences of characters enclosed in "..." (double quotes) represent lists of character codes, so "foo" is identical to [0'f, 0'o, 0'o] Tuples are fixed size sequences with arbitrary contents. Lists have a head and tail cell with arbitrary values. Variables can be assigned to other variables, chains of variable references are undeferenced transparently and automatically. Byte blocks are arrays of bytes that can be used as a more space efficient sequence of small numbers and to communicate with operating system facilities. Byte blocks are written and read using the "#XX.." syntax, where "#" is followed by one or more hexadecimal digits. If a byte block literal has an uneven number of digits, an implicit "0" is assumed at the end. "#" denotes the empty byte block object. Modules can be passed as values to other processes and exported process definitions may be invoked explicitly. Ports are a convenient abstraction over streams, mostly similar to the the description in [12], allowing multiple writers and multiple readers while preserving the identity of the target object. Thus ports can be stored in data-structures and receive messages without rebuilding the data for holding the new stream-end as with basic streams. Memory management is fully automatic using a Cheney-style[4] semi-space garbage collector. The main differences between Strand and Prolog can be summarized as follows: - Strand has no backtracking: once a rule head matches and the guards succeed, all remaining solutions are abandoned. - All goals of a rule are executed in parallel, in an arbitrary order. - Strand has no general unification - rule heads and guards only match, variables are assigned exclusively by ":=/2", "assign/3", "is/2" and primitives that assign results to argument variables. - Referencing an unbound variable suspends the current process until the variable has been bound. V. Primitive Processes This implementation of Strand provides the following built-in processes. Unless specified all primitive processes suspend when encountering an unbound variable. Arguments marked "?" are considered input-arguments, arguments marked "^" are expected to be unbound variables and will be assigned a result. Any errors that are signalled by one of these primitives will terminate the Strand VM. Additional primitive processes are available for low-level purposes. Consult the library code and VM sources for more details. Data: VAR^ := VAL? Assigns VAL to VAR. If VAL is unbound, the assignment does not suspend. If VAR already has a value an error is signalled. It is forbidden to create circular structures. Currently this is only detected for some situations at compile time. assign(VAR^, VAL?, DONE^) Assigns VAL to the unbound variable VAR. If the assignment is finished the empty list is assigned to DONE. byte_length(VAL?, LEN^) Assigns the length of the internal representation of VAL in bytes to LEN. If VAL is an integer, an error is signalled. VAR^ is EXPR Evaluates the arithmetic expression EXPR and assigns the result to VAR. See below for a list of supported arithmetic operators. length(VAL?, LEN^) Assigns the length of the string, bytes object, list or tuple in VAL to LEN. Tuples: get_arg(INDEX?, TUPLE?, ITEM^) get_arg(INDEX?, TUPLE?, ITEM^, DONE^) Assigns the INDEXth element of TUPLE to ITEM. Indexes start from 1. Assigns the empty list to DONE, when completed. make_tuple(LEN?, TUPLE^) Create a tuple with LEN elements, each initialized to an unbound variable and assign it to TUPLE. put_arg(INDEX?, TUPLE?, VAL?) put_arg(INDEX?, TUPLE?, VAL?, DONE^) Assigns VAL (which may be unbound) to the INDEXth element of TUPLE. Assigns the empty list to DONE, when the assignment is complete. Data type conversion: char_list_to_bytes(LIST?, BYTES^) Converts the UNICODE character codes in LIST to a byte block object and assigns it to BYTES. bytes_to_char_list(BYTES?, LIST^, TAIL?) Converts the UTF-8 encoded data in the byte block object BYTES into a list of UNICODE code points. The created list will be terminated with TAIL, which may be unbound. bytes_to_list(BYTES?, LIST^, TAIL?) Converts a byte block object into a list of integers. The created list will be terminated with TAIL, which may be unbound. integer_to_list(INT?, LIST^) integer_to_list(INT?, BASE?, LIST^) integer_to_list(INT?, BASE?, LIST^, TAIL?) Converts the integer INT into a list of characters codes using the numeric base given in BASE, assigning it to LIST. BASE defaults to 10. If TAIL is given, the generated list is terminated by that value, TAIL need not be bound. list_to_bytes(LIST?, BYTES^) Converts the list of integers LIST into a byte block object and assigns it to BYTES. list_to_integer(LIST?, INT^) list_to_integer(LIST?, BASE?, INT^) Converts the characters in LIST to an integer, with the numeric base given in BASE and assigns the result to INT. BASE defaults to 10. list_to_string(LIST?, STRING^) Converts the list of character codes in LIST into a string. STRING will have UTF-8 character encoding. list_to_tuple(LIST?, TUPLE^) Converts LIST into a tuple, assigning it to TUPLE. string_to_byte_list(STRING?, LIST^, TAIL?) Converts STRING into a list of bytes. The list will be terminated with TAIL, which may be unbound. string_to_integer(STRING?, INT^) string_to_integer(STRING?, BASE?, INT^) Converts the integer represented by STRING to an integral value using the numeric base BASE, which defaults to 10. string_to_list(STRING?, LIST^, TAIL?) Converts STRING into a list of character codes. The list will be terminated with TAIL, which may be unbound. STRING is assumed to have UTF-8 encoding. tuple_to_list(TUPLE?, LIST^, TAIL?) Converts TUPLE into a list of its elements. The list will be terrminated by TAIL, which may be unbound. utf_decode(LIST?, CHAR^, REST^) Converts 1 to 4 elements of the byte list LIST into an UTF-8 character code and assigns it to CHAR. The remaining byte list is assigned to REST. If the list has fewer elements than necessary to complete a UTF-8 sequence, then the remaining bytes are assumed to be zero. utf_encode(CHAR?, LIST^, TAIL?) Encodes the UNICODE code point CHAR into a list of bytes and assigns the list terminated by TAIL to LIST. String search: search_string(NEEDLE?, HAYSTACK?, INDEX^) search_string(NEEDLE?, HAYSTACK?, START?, INDEX^) Searches for NEEDLE in HAYSTACK and assigns the index of the found substring to INDEX or 0 if the substring could not be found. NEEDLE and HAYSTACK may be strings, character lists or byte block objects and may be of different types. If START is given, then the search starts at that index in HAYSTACK. Modules: current_module(MOD^) Assigns the module of the current source file to MOD. get_module(NAME?, MOD^) Locates the module with the given name and assigns it to MOD. The module will be loaded, if necessary. If the module can not be found an error is signalled. module_exports(MODULE?, LIST^) Assigns a list of the exported process definitions of MODULE (which may be a module or a name of a module) to LIST. Each element of the list is a tuple of the form "'/'(<name>, <arity>)". run(MODULE?, TERM?) Spawns the process designates by TERM, which should be a string or a tuple with 2 or more elements. TERM must refer to an exported process definition in MODULE, which may be a module name or the result of a "get_module/2" invocation. Tasks: run(TERM?, STATUS^, CONTROL?) run(MODULE?, TERM?, STATUS^, CONTROL?) Spawns the process designated by TERM in MODULE as a new task and provides the STATUS variable and the stream CONTROL to obtain the task's current status and to control its execution. See below for more information about tasks. Note that this process always succeeds - any errors caused by refering to an undefined module, or if TERM does not designate a valid or existing export, will result in a task failure. If MODULE is not given, the current module is assumed and the process must not necessarily be exported. Streams: merger(STREAM1?, STREAM2?) Transmits data from STREAM1 to STREAM2. If an element of STREAM1 has the form of a tuple "merge(STREAM3)", then data from STREAM3 will be interleaved and sent to STREAM2 as well. When all streams merged into STREAM2 are closed, STREAM2 will be closed as well. The elements of all merged streams will be transferred to STREAM2 in an arbitrary order, but the order of elements for each merged substream will be preserved. Ports: open_port(PORT^, STREAM^) Create a "port" object, everything sent to PORT using the "send/2" primitive will eventually appended to STREAM, which can be used like any other stream. Once a port is not referenced anymore and can be garbage collected, STREAM will be closed by assigning the empty list to its tail. It is usually wrong to assign to STREAM explicitly. Note that a port will still be reachable by the garbage collector if stored in the environment of a currently executing process. send(PORT?, X?) send(PORT?, X?, DONE^) Writes X to PORT, appending it to the output-stream associated with the port, assigning the empty list to DONE, when the message send was completed. Byte block objects: copy_bytes(INDEX?, BYTES?, COUNT?, NEW^) Creates a byte block object with the contents of the existing byte block object BYTES, taken at position INDEX and with length COUNT, and assigns the new byte block to NEW. get_bytes(INDEX?, BYTES?, COUNT?, LIST^, TAIL?) Extracts COUNT bytes at INDEX from the byte block object BYTES and assigns them to LIST, which is terminated by TAIL. Note that indexing starts at 1. make_bytes(LEN?, BYTES^) make_bytes(LEN?, INIT?, BYTES^) Creates a byte block of length LEN with each byte initialized to INIT and assigns it to BYTES. If INIT is not given, the byte block contains undefined data. Conversion to and from Bytes pack(X?, BYTES^) Converts the object X into a byte block object representing X and assigns it to BYTES. X may not contain circular data. If X is larger than an internal limit (currently the totally available static heap size), then X may contain temporary variables referencing further objects and thus will be incomplete. unpack(BYTES?, VAR^) Converts a binary representation of arbitrary data in BYTES into a data structure and assigns it to VAR. Input/Output: Note that all I/O operations block executing processes until the read- or write-operation is completed. Files are represented by normal UNIX file-descriptors, so to read from stdin or write to stdout/stderr, use 0, 1 and 2, respectively. listen(FILE?, VAR^) Registers FILE in an internal list of file-descriptors and assigns the empty list to VAR once input is available on that file. read_bytes(FILE?, COUNT?, BYTES^) Read COUNT bytes from FILE and assigns a byte block object to BYTES containing the read data. Signals an error on failure. Note that all processes are blocked when reading from FILE and insufficient input is available. write(VAL?) Write VAL to standard output. X must be fully ground (i.e. must not contain any unbound variables). Blocks until value is written. Strings are always printed unquoted and tuples are shown in canonical form. For output that respects operator syntax and write strings in quoted form when necessary, check out the "fmt" library module. write(FILE?, VAL?) write(FILE?, VAL?, DONE^) Write VAL to FILE, VAL must be fully ground, after completion the empty list is assigned to DONE. write_bytes(FILE?, BYTES?, DONE^) write_bytes(FILE?, BYTES?, OFFSET?, COUNT?, DONE^) Write the bytes in the bytes-object, string or byte-list BYTES to FILE and signal an error on failure. After completion the empty list is assigned to DONE. If OFFSET and COUNT are given, the should be integers specifying the index of the first element in bytes (starting at 1) and the number of bytes to write. write_chars(FILE?, LIST?) write_chars(FILE?, LIST?, DONE^) Write the character codes in LIST to FILE and signal an error on failure. After completion the empty list is assigned to DONE. writeln(VAL?) writeln(VAL?, DONE^) Writes VAL to the console, followed by a newline character, X must be fully ground. The empty list is assigned to DONE after writing completed. Files: close_file(FILE?) close_file(FILE?, DONE^) Close the file designated by the file descriptor FILE and signal an error on failure. Assign the empty list to DONE, when the file has been closed. delete_file(NAME?, DONE^) Deletes the file given by the string or character list NAME and assigns the empty list to DONE, when the operation has been completed. file_modification_time(NAME?, MTIME^) Assigns the time in seconds of the file with the given name to MTIME. If the file does not exist, an error is signalled. NAME may be a string or a character list. file_size(NAME?, SIZE^) Assigns the size in bytes of the file with the given name to SIZE. If the file does not exist, an error is signalled. NAME may be a string or a character list. file_status(NAME?, TYPE^) Assigns one of the strings "file", "directory", "link" or "none" to TYPE, depending on whether the file given by NAME is a regular file, a directory, a symbolic link, or whether the file doesn't exist at all. NAME may be a string or a character list. open_file(NAME?, MODE?, FILE^) Open the file with the given name and mode and assigns a file-descriptor to FILE. If the file can not be openend an error is signalled. MODE may be one of the strings "rw" (read/write), "r"(read), "w"(write) or "a"(append). NAME may be a string or a character list. open_pipe(FILEIN^, FILEOUT^) Open a bidriectional pipe and assign the input- and output files to FILEIN and FILEOUT, respectively. Timers: timer(MSECS?, VAR^) timer(MSECS?, INTERVAL?, VAR^) Start a timer that assigns a value to VAR after MSECS milliseconds. If INTERVAL is given, the timer is periodical and fires every INTERVAL milliseconds after the first MSECS. A periodic timer produces a stream with an internal "clock" value in VAR, the stream is closed (set to the empty list) once the timer is disabled. A non-periodic "single-shot" timer assigns the empty list to VAR once. Note that there is only a single timer that can be set, a subsequent creation of a timer disables any timer previously set. disable_timer Disables the currently executing timer and does nothing if no timer is active. System: chdir(NAME?, DONE^) Changes the current directory to NAME and assigns the empty list to DONE, when the operation was successful or signals an error if the operation failed. NAME may be a string or a character list. command_line(LIST^) Assigns a list of the command-line arguments given to the Strand VM to LIST. The list elements will all be strings and do not include the program name. If "--" is given on the command line, then all previous arguments, including the "--", will be omitted from the returned list. error(MESSAGE?) Write error message given in MESSAGE and terminate the Strand VM. MESSAGE may be any type of data object and should be fully ground. getcwd(DIR^) Assigns a string holding the name of the current working directory to DIR. getenv(NAME?, VALUE^) Retrieves the environment variable given by the string or character list NAME and assigns its value to VALUE. If so such variable exists, VALUE is assigned the empty string. halt(CODE?) Instantly terminate the Strand VM with exit code CODE. kill(PID?, SIGNAL?, VAR^) Send SIGNAL to the UNIX process with the given PID and assign the empty list to VAR, when done. Signals an error when the operation failed. platform(OS^, ARCH^) Assigns strings identifying the operating system and architecture to OS and ARCH, respectively. OS is one of the strings "linux" or "openbsd", ARCH is one of the strings "x86_64", "arm", "aarch64" or "ppc64" shell(COMMAND?, STATUS^) Invokes the shell command given by the string or character list COMMAND and assigns the integer status code to STATUS. The child process executes concurrently to the VM and STATUS will be assigned as soon as the child terminates. See also "execute/4" in the "proc" module for a variant that supports I/O redirection. strand_version(VERSION^) Assigns an integer representing the current version of the Strand VM to VERSION. time(SECONDS^) Assigns an integer representing the current number of seconds since the UNIX epoch to SECONDS. pledge(PROMISES?, EXECPROMISES?, DONE^) An interface to the pledge(2) system call on OpenBSD. On Linux and Darwin, this primitive does nothing. PROMISES and EXECPROMISES may be strings or character lists. An argument of "[]" (the empty list) is considered the same as NULL. After the system call returned, the empty list is assigned to DONE. unveil(PATH?, PERMISSIONS?, DONE^) An interface to the unveil(2) system call on OpenBSD. On Linux and Darwin, this primitive does nothing. PATH and PERMISSIONS may be strings or character lists. An argument of "[]" (the empty list) is considered the same as NULL. After the system call returned, the empty list is assigned to DONE. set_user_id(UID?, DONE^) Set the user ID to the integer value UID and assign the empty list to DONE, when the system call succeeded. Globals: get_global(KEY?, VAL^) get_global(KEY?, VAL^, DEFAULT?) Retrieves the global variable with the name KEY, which should be a string and assign the value to VAL. If the global variable is not defined, an error is signalled, unless DEFAULT is given, which will be assigned to VAL instead. put_global(KEY?, VAL?, DONE^) Stores VAL under the string KEY as a global variable, over- writing any previously stored value under the same name. The global variable is only accessible in the node where it was stored. Once the global value is stored, the empty list is assigned to DONE. Special forms: foreach(VAR^, LIST?, GOAL) Creates a process for each element of LIST in which VAR refers to that element, executing GOAL. VAR must be an unbound variable. Processes are created once LIST is fully instantiated, but the list elements may still refer to unbound variables. GOAL may be any non-compound term, either primitive or user defined, but may not be a variable refering to a term - it must be code. "foreach(VAR, LIST, GOAL)" is operationally similar to: foreach_1(LIST) with "foreach_1" being defined as (not including variables that used in GOAL): foreach_1([]). foreach_1([VAR|L]) :- GOAL, foreach_1(L). when(VAL?, GOAL) Execute goal once VAL is bound. GOAL may be a compound term, in that case "when(VAL, (X, Y))" is equivalent to "when(VAL, X), when(VAL, Y)". "when(X, GOAL)" is operationally equivalent to: when_1(X) where "when_1" is defined as (not including variables that are referred to in GOAL): when_1(X) :- data(X) | GOAL. Other primitives: current_node(ADDRESS^) current_node(ADDRESS^, PID^) Assigns the address of the current node to ADDRESS and optionally the UNIX process-id of the Strand VM process to PID. deref(X?, DONE^) Completely dereference X and assign the empty list to DONE, when all unknown variables in X have been bound. true Does nothing. If you intend to extend the set of primitive operations, see the file "HACKING" in the distribution, which contains some information about the system's internals. Note that there is no facility for user-defined operators unless you modify the Strand parser in the "parse" module. VI. Guards The following guard expressions are supported. Unless specified otherwise a guard referencing an unbound variable will suspend the matching of the current rule. Errors signalled during guard execution will terminate the Strand VM. Matching: X == Y Succeeds when X matches Y. X =\= Y Succeeds when X does not match Y. Numerical comparison: X =:= Y Succeeds when X is numerically equal to Y. Both arguments must be integer expressions, otherwise an error is signalled. X \=:= Y Succeeds when X is not numerically equal to Y. Both arguments must be integer expressions, otherwise an error is signalled. X > Y Succeeds when X is greater than Y. Both arguments must be integer expressions, otherwise an error is signalled. X < Y Succeeds when X is less than Y. Both arguments must be integer expressions, otherwise an error is signalled. X >= Y Succeeds when X is greater than or equal to Y. Both arguments must be integer expressions, otherwise an error is signalled. X =< Y Succeeds when X is less than or equal to Y. Both arguments must be integer expressions, otherwise an error is signalled. Type predicates: bytes(X) Succeeds if X is a byte block object. integer(X) Succeeds if X is an integer. known(X) Succeeds if X is not an unbound variable. If it is unbound, then the guard fails but the rule does not suspend. list(X) Succeeds if X is a list. Note that this guard fails for the empty list. module(X) Succeeds if X is a module. port(X) Succeeds if X is a port. string(X) Succeeds if X is a string. tuple(X) Succeeds if X is a tuple. unknown(X) Succeeds if X is an unbound variable. Term ordering: X @> Y Succeeds if X is ordered higher than Y. X and Y may be any term but variables are dereferenced as necessary. Terms are ordered as follows: INTEGER < STRING < LIST < TUPLE < PORT < MODULE < BYTES The empty list is ordered the same as a string. Integers are numerically ordered, strings lexicographically, lists are ordered by elements. Tuples are ordered first by length then element by element and byte blocks are ordered byte-wise. Ports and modules have an unspecified (but stable) order. X @< Y Succeeds if X is ordered lower than Y. X and Y may be any term. X @>= Y Succeeds if X is ordered higher than Y or if it is equal. X @=< Y Succeeds if X is ordered lower than Y or if it is equal. Other guards: data(X) Suspends if X is an unbound variable and always succeeds. otherwise Always succeeds when no textually preceding rule matched successfully. idle Suspends until the node becomes idle, i.e. no active processes are executing anymore. Note that a node is considered idle even if processes are currently suspended waiting for UNIX child processes or if listening on input from a file. VII. Arithmetic Expressions The second argument to the "is/2" primitive process may be an arithmetic expression of which the result is assigned to the first argument as with ":=". Only integer arithmetic is supported. The following table lists the allowed operators and their precedence, from lowest to highest: Precedence Expression Meaning 1 X + Y Add X - Y Substract X /\ Y Binary AND X \/ Y Binary OR X >< Y Binary XOR 2 X * Y Multiplication X / Y Division X \\ Y Remainder X >> Y Shift X arithmetically right by Y bits X << Y Shift X left by Y bits 3 -X Negation \X Binary NOT All binary arithmetic operators are left-associative. The following functions are available inside arithmetic expressions: abs(X) Absolute value. clock Returns the internal "ticks", one tick being one process execution step. isqrt(X) Integer square root. max(X, Y) min(X, Y) Maximum and minimum of two integers. VIII. Declarations Declarations give additional information to the Strand compiler that generates loadable modules and have the form -DECLARATION(ARGUMENTS, ...). Currently the following declarations are supported: -exports([NAME/ARITY, ...]) Export processes with given name + arity from the current module. See below for more details. -meta(DATA) Add DATA to the module's metadata, which is data returned by the internal process '$META'/1. See the "HACKING" document for more information. -machine(TYPE) Declares that this module should run in a node-network of the given topology, which may currently be "ring" or "torus". See later in the section on running multiple VMs in parallel. IX. Modules Strand program code is organized into modules that are compiled from source form to a binary platform-independent representation that can be loaded by the Strand VM. A module usually provides one or more exports that identify processes that can be invoked inside the module. Non-exported processes are not accessible from outside and can only be used in the module itself. To invoke an exported process definition, use the following syntax: MODULE:PROCESS(ARGUMENTS, ...) Modules are loaded on demand, on the first invocation of any exported process definition. Modules are also loaded when the Strand VM starts. In this case a zero-arity process named "main" will be invoked. A module loaded at startup may also export a zero arity process named "$start", which is invoked automatically, even if "main" is defined. If a module has no "exports" declaration, all process definitions are exported by default. Modules are first class objects and can be passed as values to processes as arguments and can be serialized and sent to separate executing Strand VMs. X. Tasks Groups of processes can run as a controlable entity in the form of "tasks". Use "run(MOD?, TERM?, STATUS^, CTRL?)" to spawn a task, where STATUS is a variable the holds the current execution status of the task and CONTROL is a stream where the status can be changed. When the last process of a task terminates, STATUS will be assigned the string "success". Any non-fatal error encountered during the execution of a process belonging to the task will set the status to the tuple "fail(REASON)", where REASON is a string identifying the general class of error (enable logging to see the full error message). This includes matching failures, or errors triggered by the "error/1" primitive process. Note that the errors in the initial task will always terminate the Strand VM, the initial task also has no accessible status and control variables. STATUS should not be assigned directly, the effect of doing so is undefined. CONTROL should be a stream and provides a way to control the execution of the task. Assigning "[suspend|C]" will suspend all processes of this task until "[resume|C2]" is assigned to C, with C2 being the continuation of the control stream. When a task is suspended, the status variable is assigned the pair "[suspend|S]", and S will be the subsequent status variable once the task is resumed. Assigning the string "stop" to C will set the status to "stop" and terminate all processes of the task. Note that the control-stream should never be assigned with a remote variable (an unassigned variable from a different node), since retrieving the remote variable may stall indefinitely with the local tasks's status being in an inconsistent state until the remote is bound, due to architectural reasons. Tasks are always local to a node. Performing a remote call to a different node will create a process in the initial task of the remote node. XI. Library Modules This implementation of Strand provides a number of library modules with additional functionality. Consult the comments in the source files for information about exported processes. map A simple implementation of AVL trees compile Strand compiler core fmt Formatted output io I/O stream operations lex Strand lexical analysis list Some list-procesing operations parse Strand parser proc Invoking external processes rnd Random numbers set Operations on lists as sets sort Sorting stc Strand compiler toplevel strand Reading of Strand terms from a file sys Runtime system for multi-node applications term Term operations, used by the compiler topology Topology generation, used by name-server tunnel Runtime system for "tunnel" nodes vmrun Support module for multi-node applications XII. Running Multiple Strand VMs in Parallel Multiple running Strand VMs can communicate by passing messages via a shared memory mapped file. Messages are serialized into a platform-independent format and allow unidirectional communication between Strand "nodes". By passing unbound variables, results can flow back to the message sender, the handling of forwarding and bindings variables across node-boundaries is done transparently by the Strand VM. Each node (a single running "strandvm" instance) has a node- identifier (which is the same as the UNIX process identifier), and an "address", designating the machine the node is running on and the index of it's "port", an area for receiving messages in the shared memory mapped message file. The port is automatically computed from the node-identifier, unless explicitly given by using the "-P" option of "strandvm". The message file defaults to "strand.msg" in the current directory and can be overridden by using the "-f" option. The machine-identifier is only relevant if you want to have communicating Strand nodes between different physical or virtual machines, see below for running Strand code in a distributed manner. The message file must be created manually by running the following command: strand -g strand.msg Once the message file exists, additional strandvm processes can be started: strandvm sys The "sys" module needs to be loaded to allow communication with other nodes. The node will now wait for external messages until terminated. You can of course pass further modules to strandvm to run your own application code. Use "-l LOGFILE" to log information about the execution of your node and of the communication with other nodes. Invocation of processes on other nodes is accomplished using the "@" (at) operator: square(X, Y) :- Y is X * X. main :- square(4, R)@32, writeln(R). Here, "square" is called on the node listening on message port 32. The module holding the code will be requested and retrieved by the target node automatically and "square" will execute on the remote node. The access of "R" then will suspend and retrieve the result once it has been computed. If you address other nodes by their port number as above, the target node will have to be started with the "-P" option to be assigned the port number. Since ports are normally computed from the UNIX process-identifier, addressing nodes by more convenient means is provided by a mapping a topology over a collection of nodes. Currently ring and torus topologies are supported and are created from all registered nodes on demand. The second argument to the "@" operator (which may be a variable) designates the peer node and can be either a direct port number or one of the following: fwd, bwd the next or previous node in the ring topology. north, south, east, west the four neighbour nodes in the torus topology. all all nodes in the topology. Ring and torus topologies are infinite in the sense that addressing neighbours at the edge of the map of nodes wraps around. There is no way for a node to obtain its position in the network, this has to be achieved by user code. Calling process with "@all" is a simple way of broadcasting a message to all nodes. A topology is fixed once created. If a node in a topology terminates, the topology can be considered broken, this is currently not handled gracefully which means an application module using this topology should be restarted. When waiting for messages from external nodes and no other processes are running, a node is "idle", repeatedly waiting for messages through a spin-lock. This is a busy wait that consumes CPU cycles, while periodically checking for interrupts and I/O. To reduce the workload of long-running nodes, the VM sleeps for a short period which progressively increases, as long as no messages are received. This makes a node less responsive to messages but reduces the energy consumption. An internal counter of "idle" cycles is increased on every cycle tick, shifted by a fixed amount and used as the number of milliseconds to sleep, at most 100 ms. This shift amount is by default 10 and can be set using the "-r SHIFT" command-line option. The lower the shift the quicker the sleep time in idle cycles increases. This parameter is necessarily dependent on the performance of the underlying system. You can override the shift by using "-r" or changing the "IDLE_SHIFT" limit in "limits.f". Setting the shift to a very high value (e.g. the same as the machine word size) disables the progressive slowdown, making a node maximally responsive at the cost of a busy CPU as long as the node runs. "-r 0" disables progressive slowdown and the VM will always run at full speed. XIII. Distributed Strand Strand nodes can communicate with other nodes on separate physical machines by "tunneling" message sending over network connections. The "tunnel" library module converts all messages send to a separate pool of nodes identified by a machine identifier by writing them in a special format to its output channel. Using a tool like socat[6], this output can then be transmitted over (say) SSH to a tunnel node on a different machine, is converted to a normal node-to-node message and forwarded to the destination node. On both machines a name server node should run to make all nodes in the combined network be known to each machine's node pool. For example, if you have two machines, identified by the machine identifiers 1 and 2, connect them in the following manner: strand -g strand.msg strandvm -m 1 -P 32 sys ssh other_machine strand -g strand.msg ssh other_machine strandvm -m 2 -P 32 sys & socat 'EXEC:strandvm -m 1 -P 2 tunnel' 'SSH:strandvm -m 2 -P 1 tunnel' & Note that a tunnel listens on the same port as the machine it is connected with. The two tunnels establish a connection over which messages targeted at the remote machine are forwarded. All machines in a distributed setting must be able to access their peer machines via ssh(1), ideally with a password-less login. Should a node terminate by crashing or terminate in some other non-graceful way, you should recreate the "strand.msg" file from scratch in case any held locks persist in the message file. Machine identifiers should be selected from the integers 1 up to 31. Since tunnels use the machine identifiers as message port index, randomly allocated ports for normal nodes are using message port indexes from 32 and above to avoid conflicts. XIV. Node Pools To create and coordinate pools of Strand VM nodes on one or more machines, the "strand" tool simplifies the management of VM processes and the steps necessary to start and stop a network of nodes. "strand" is invoked with a command specifying the intended action and an optional list of project directories to which the action should apply. The following actions are available: home Prints the home-directory, where libraries and VM are located. start ID [-m MAC] [-n NODES] [-l] [-s] [-d] [-i DIRECTORY] [HOST:RMAC ...] Starts a pool of NODES nodes identified by machine identifier MAC, NODES defaults to 4 and MAC to 1. HOST:RMAC pairs designate remote hosts (reachable by ssh(1)) that are assumed to be running and local and remote tunnel nodes will be started to communicate with the remote host. This command creates a file named ID that holds the necessary information to work with this node pool. stop ID Stops a pool of nodes identified by the control file ID and removes the file. watch ID Runs a loop that restarts nodes from the node pool identified by the control file ID as necessary. run [ID] [OPTION ...] MODULE|FILENAME Runs a Strand module, optionally compiling it first, if it is a source file with the extension ".st". If ID is given, then module should be already compiled and will be injected into a running node pool designated by the control file ID. If no command is given, "strand -c FILENAME" will compile a Strand source file. "strand -g" creates a message file. Enter strand -h To see a list of commands and the valid options. XV. Debugging Strand Code There are no debugging facilities besides logging. The "-l LOGFILE" option to "strandvm" generates a log file that can be consulted and which writes out information about major events in the lifetime of the node. Adding "-d" will print more what processes are executed, how the resolution mechanism tries to match process rules and how processes suspend and resume on variable reference and assignment. Note that logging, especially in debug mode has a noticable performance impact. The Strand VM catches SIGINT and SIGTERM and shuts down gracefully. Sending SIGHUP to the VM will terminate the VM and write a report with various VM statistics to stderr (the same report as is shown in the log file when logging is enabled). XVI. Generating Graphs from Logged Statistics When given the "-s" option, the Strand VM adds statistical output to the log file, "-l LOGFILE") must still be specified for the log file to be created. Two types of statistics are produced: 1. System parameters, where each line holds "## CLK APR SPR PRC DER SSP RED SNT NSN RCD NRD REM EXP ATM STA ALC HEP" where the printed numbers have the following meaning: CLK current internal clock ("ticks") APR number of active processes in the process pool SPR number of suspended processes PRC total number of processes DER total number of variable dereferences performed SSP total number of process suspensions on unbound variables RED total number of process-reductions performed SNT total number of bytes sent to other nodes NSN total number of messages sent to other nodes RCD total number of bytes received from other nodes NRD total number of messages received from other nodes REM number of active "remotes" (remote unbound variables) EXP number of active "exposures" (unbound variables referenced remotely) ATM number of interned strings STA used amount of static string area in bytes ALC total number of bytes allocated HEP size of used heap space 2. Heap statistics, where each line contains "#$ CLK PRC TUP LST VAR REM MOD BIN" where the printed numbers have the following meaning: CLK current internal clock ("ticks") PRC bytes in heap used for processes TUP bytes in heap used for tuples LST bytes in heap used for lists VAR bytes in heap used for unbound variables REM bytes in heap used for remotes MOD bytes in heap used for modules BIN bytes in heap used for internal byte buffers Heap-statistics can be separately enabled with the "-hs" option, if the other set of statistics are not required and reduces the logging output considerably. The "strand" tool provides a helper tool that parses a log file and invokes Gnuplot[7] with the necessary parameters to draw a graph for one or more of the system parameter values over the time of execution of the node (so far), where time is measured in internal clock ticks (not elapsed time). "strand plot" also can create a histogram of the heap-usage. Enter strand plot -help for exact usage information. XVII. VM Execution Model Here follows a high-level description of the execution steps the Strand VM performs after starting up. At all times them VM maintains a "process pool", a queue of active processes and the arguments with which they where invoked. When the process pool is empty, then all processes have terminated or are suspended on unbound variables. 1. Load all modules given on the command line. 2. If any loaded module exports a process definition named "$start/0", then this process is added to the process pool. If any loaded module exports a process definition named "main/0" (or the name specified in the "-p" option), then this is added to the process pool as well. 3. Periodically, poll for input on file-descriptors that suspended processes are listening on and add those processes to the process pool, if input is available. 4. If a UNIX child process terminates, add all processes waiting for this particular process to the process pool. 5. If there is a message available on the VMs message port, enqueue it in the local event-queue. 6. If there are processes in the process pool, dequeue the first and invoke it, calling it the "current process". 7. If the current process runs in its own task, check the tasks control and status streams and terminate or suspend the process, if necessary, continuing at step 3. 8. If no clause of the process definition for the current process matches the VM terminates with an error message. 9. If a clause matches (including the guards), then the sub-goals of the clause are added to the process pool and execution continues at step 3. 10. If the current process suspends on an unbound variable, it is enqueued in the process pool and execution continues at step 3. 11. If the process pool is empty: 12. If there are no suspended processes, the VM terminates. 13. Trigger processes suspended on the node being idle, or communicate idleness to other nodes in a multi-node application. 13. If there are executing UNIX child processes or the VM is listening for input on file descriptors, the VM performs either wait or polls for input, or does a combination of both. 14. If a UNIX child process terminates, any process suspended on the child process is added to the process pool. 15. If input is available on a listened-for file descriptor, any process waiting for this is added to the process pool. 16. Execution continues at step 3. 17. If there are any live ports, perform a garbage collection and close those port streams of ports that where reclaimed and continue a step 3 if any port was closed. 18. Finally, if no UNIX child processes run, no process is listening for input, no ports could be reclaimed, and there are still processes suspended, the VM is in deadlock and terminates with an error message. XVIII. VM Error Messages The Strand VM produces the following error messages. Fatal errors: These errors terminate the VM. "no message file open" The file for exchanging messages between nodes could not be opened and the program module tried to send a message to another node. "port has no owner: <ADDRESS>" An attempt to send a message to a different node failed because the destination node de-registered, probably by terminating early. "error while accepting forwarded message" An error occurred while reading a tunnelled message from another machine. "unexpected end of input from remote peer" A remote machine terminated its connection through a tunnel node. "can not serialize - buffer full" A message serialized for transfer to another node exceeded the buffer size. "string of size <SIZE> exceeds serialization limit" A string could not be sent to a remote node because the string length exceeded the message buffer size. "bytes object of size <SIZE> exceeds serialization limit" A bytevector object could not be sent to a remote node because the length exceeded the message buffer size. "tuple of size <SIZE> exceeds serialization limit" A tuplecould not be sent to a remote node because the total size exceeded the message buffer size. "deadlock with <COUNT> processes suspended" Deadlock occurred because no active, non-suspended processes exist. "I/O error while polling" Polling for input on a file descriptor resulted in an error. "too many globals" More than the allowed number of global variables are in use. "too many ports" More than the hardcoded limit of port objects where created. "invalid bytecode: <CODE>" The bytecode-compiler encountered an illegal bytecode, probably caused by a corrupt compiled module or scrambled message data when a modules code is transmitted to another node. Non-fatal errors: These errors will be caught when occurring during the execution of a subtask. The string shown gives the "tag" stored in the "fail/1" task status tuple. The actual error message written may contain additional information. "division by zero" Attempt to divide by zero in an "is/2" expression. "assignment to non-variable" Attempt to assign a value to a previously bound variable. "attempt to write into closed stream" A value was appended to a merger-stream that was already closed previously. "port-stream contains non-list" "send/2" was invoked on a port whose stream was explicitly assigned a non-list tail. "global not found" A global variable could not be retrieved. "error in system call" An error occurred while performing an operating system call. "module not found" Unable to find module given on the command line or when using the "run" primitive process. "match falure" Match failure in process head. "process-definition not found" A process in a remote call via the "@/2" operator was not found in the current module. "export not found" An exported process was not found in the target module. "invalid I/O mode" The mode argument given to "open/3" was invalid. "error opening file" Opening a file failed, because the file does not exist or the opening process does not have the necessary permissions. "error reading file" A read-operation on a file failed. "error writing file" A write-operation on a file failed. "index out of range" Indexing a tuple via "get_arg" or "put_arg" uses an index that is out of range. "status of resumed task is non-list" The status variable of a task is of invalid type, usually because the status was directly assigned, which is not permitted. "task control stream may not refer to remote" The control stream of a task refers to a remote variable reference, which is currently not permitted. "invalid task control object" The task control stream was assigned an invalid value. "task status may not refer " The status variable of a task refers to a remote variable reference, probably because it was assigned directly. "can not convert to integer" A value can not be converted to an integer in a "list_to_integer" or "string_to_integer" operation. "type error" A primitive process expected a value of a different type. XIX. Bugs and Limitations By changing values in the "limits.f" source file and rebuilding the Strand VM, the value of various system limits and sizes of data area sizes can be customized as desired. The current implementation has relatively modest memory demands and can handle a large number of processes. Programs that spawn processes excessively can be very slow and it requires some care to structure code in such a way that the number of concurrent processes fluctuates not too much. As in all parallel programming languages, writing code that scales well among the available computing resources is an art form that needs experience. The VM is not particularly fast and the compiler does very few optimizations. Also, the Forth implementation is a traditional indirect threaded one, which has some overhead but doesn't require generating executable code at run-time. Strings are not garbage collected. They are interned in a table when modules are loaded or when created with "list_to_string/2" to allow efficient comparison of strings. Excessively creating new unique strings will at some stage exhaust the available space in the string table. Memory limits: Heap size (one half in use) 10,000,000 Amount of space for strings 256 kB Maximal number of processes 131,072 Maximal number of modules 256 Size of Forth dictionary space 16 MB Maximal size of message 16 kB Maximal number of files to listen for 32 Maximal number of strings 16384 Maximal number of global variables 256 Maximal number of port objects 1024 Bugs: This software is very young and, needless to say, will contain many bugs. Please don't hesitate to report them by contacting the author. The implementation contains a number of known shortcomings that may or may not be addressed in the future: - The VM currently does busy waiting when listening for messages. An attempt is made to at least give other nodes a chance to run (via usleep(2)), but still a lot of CPU cycles are burnt due to the use of spin-locks in the communication model. If idling continuously, the VM progressively increases the sleep-time to reduce CPU activity but will be less responsive on the first message arriving. - When an unbound variable is "exposed" to another node, a reference counting scheme is used to ensure that the variable will not be garbage collected if still in use. Since a request to add a reference from a different node may still be "in flight", the exact moment to drop the exposed variable from the internal table holding it is hard to estimate. Currently the actual process of dropping an exposed variable is delayed for a certain period of "idle" periods (when a node is not busy and listening for remote messages), this approach should work in most cases but is of questionable reliability. - Remote calls (using "@") to builtin processes are currently not supported. Also builtin processes can not be given directly to "run/3" or "run/4", use an intermediate user-defined process in this case. - Cyclic data structures are not allowed. This is currently not checked and may result in a VM that hangs, trying to walk an infinite data structure. - The size of messages sent between nodes is fixed, sending sequential data objects like strings and tuples that exceed this limit (32768 bytes by default) will signal an error. This limit also applies to compiled modules sent to nodes. - A remote call (using "@") automatically makes the callee request the relevant module from the caller, but when the module contains other calls to modules that are currently not loaded, these modules must be accessible to the callee and are not requested from the caller. - The case of connection-breakdown between two tunnel nodes is not handled gracefully. - When a node terminates any topology it was part of is broken and unusable, there is currently no mechanism of "repairing" the network. - Explicit assignment to the status variable of a task has an undefined effect. Assigning a remote value to the control stream of a task will trigger an error. - When a task stops or suspends itself, then the current process may not halt instantly, but when the next process belonging to the task is scheduled, due to the way tail-call optimization is implemented. - Tasks can not be extended to different machines, they exists only on the VM where they were created. A remote call from a task will execute on the remote VM in the default task and thus any errors can not be caught. XX. Further Reading There has been a short but busy period of research on parallel logic languages, but unfortunately it left very little in terms of useful information. A number of dialects have been designed, among them Concurrent Prolog, Flat Concurrent Prolog, Parlog, Flat Parlog, GHC and Strand, all with slightly different semantics and variations in power and complexity. The best introduction to Strand is given in Foster+Taylor[1], with loads of examples and an excellent survey of programming techniques for parallel logic languages. A publicly available paper giving a decent introduction to Strand is found in [5] by the same authors. The paper "The Family of Concurrent Logic Programming Languages"[8] by Ehud Shapiro doesn't directly describe Strand but may be useful for the contained information on programming techniques, as does [9]. Ian Foster's thesis "Parlog as a Systems Programming Language" gives a thorough treatment of the implementation issues for Flat Parlog and is a very interesting read. No implementations of concurrent Prolog systems seem to have survived, at least as far as I can tell, with the exception of Logix[10] which implements Flat Concurrent Prolog. There was a commercial implementation of Strand by the inventors of the language, the current status is unknown. Prototypical academic implementations of other languages of the family seem to have existed in the past but are not publicly available. XXI. References [1] "Strand: New Concepts for Parallel Programming", Ian Foster and Stephen Taylor, Prentice Hall, 1990 [2] https://en.wikipedia.org/wiki/Parlog [3] https://en.wikipedia.org/wiki/Prolog [4] https://en.wikipedia.org/wiki/Cheney%27s_algorithm [5] "Strand: a Practical Parallel Programming Language" http://www.classiccmp.org/transputer/software/languages/strand/documentation/strand.ps [6] http://www.dest-unreach.org/socat/ [7] http://www.gnuplot.info/ [8] https://apps.dtic.mil/dtic/tr/fulltext/u2/a213958.pdf [9] "Parallel Logic Programming Techniques", Stephen Taylor, Prentice Hall, 1989 [10] http://www.nongnu.org/efcp/ [11] hhttps://spiral.imperial.ac.uk/bitstream/10044/1/47065/2/Foster-I-1988-PhD-Thesis.pdf [12] https://people.kth.se/~johanmon/papers/port.pdf XXII. License All documentation and code is released into the public domain. XXIII. Contact Information If you have questions or suggestions, send mail to felix <at> call-with-current-continuation <dot> org