(module semaphores mzscheme
(require "../reduction-semantics.ss"
"../gui.ss")
(reduction-steps-cutoff 100)
(define lang
(language
(p ((store (variable v) ...)
(semas (variable sema-count) ...)
(threads e ...)))
(sema-count number
none)
(e (set! variable e)
(begin e ...)
(semaphore variable)
(semaphore-wait e)
(semaphore-post e)
(lambda (variable) e)
(e e)
variable
(list e ...)
(cons e e)
number
(void))
(p-ctxt ((store (variable v) ...)
(semas (variable sema-count) ...)
(threads e ... e-ctxt e ...)))
(e-ctxt (e-ctxt e)
(v e-ctxt)
(cons e-ctxt e)
(cons v e-ctxt)
(list v ... e-ctxt e ...)
(set! variable e-ctxt)
(begin e-ctxt e ...)
(semaphore-wait e-ctxt)
(semaphore-post e-ctxt)
hole)
(v (semaphore variable)
(lambda (variable) e)
(list v ...)
number
(void))))
(define reductions
(reduction-relation
lang
(--> (in-hole (name c p-ctxt) (begin v e_1 e_2 e_rest ...))
(in-hole c (begin e_1 e_2 e_rest ...)))
(--> (in-hole (name c p-ctxt) (cons v_1 (list v_2s ...)))
(in-hole c (list v_1 v_2s ...)))
(--> (in-hole (name c p-ctxt) (begin v e_1))
(in-hole c e_1))
(--> (in-hole (name c p-ctxt) (begin v_1))
(in-hole c v_1))
(--> ((store
(name befores (variable v)) ...
((name x variable) (name v v))
(name afters (variable v)) ...)
(name semas any)
(threads
(name e-before e) ...
(in-hole (name c e-ctxt) (name x variable))
(name e-after e) ...))
((store
befores ...
(x v)
afters ...)
semas
(threads
e-before ...
(in-hole c v)
e-after ...)))
(--> ((store
(name befores (variable v)) ...
(variable_i v)
(name afters (variable v)) ...)
(name semas any)
(threads
(name e-before e) ...
(in-hole (name c e-ctxt) (set! variable_i v_new))
(name e-after e) ...))
((store
befores ...
(variable_i v_new)
afters ...)
semas
(threads
e-before ...
(in-hole c (void))
e-after ...)))
(--> ((name store any)
(semas
(name befores (variable v)) ...
(variable_sema number_n)
(name afters (variable v)) ...)
(threads
(name e-before e) ...
(in-hole (name c e-ctxt) (semaphore-wait (semaphore variable_sema)))
(name e-after e) ...))
(store
(semas
befores ...
(variable_sema ,(if (= (term number_n) 1)
(term none)
(- (term number_n) 1)))
afters ...)
(threads
e-before ...
(in-hole c (void))
e-after ...)))
(--> ((name store any)
(semas
(name befores (variable v)) ...
(variable_sema number_n)
(name afters (variable v)) ...)
(threads
(name e-before e) ...
(in-hole (name c e-ctxt) (semaphore-post (semaphore variable_sema)))
(name e-after e) ...))
(store
(semas
befores ...
(variable_sema ,(+ (term number_n) 1))
afters ...)
(threads
e-before ...
(in-hole c (void))
e-after ...)))
(--> ((name store any)
(semas
(name befores (variable v)) ...
(variable_sema none)
(name afters (variable v)) ...)
(threads
(name e-before e) ...
(in-hole (name c e-ctxt) (semaphore-post (semaphore variable_sema)))
(name e-after e) ...))
(store
(semas
befores ...
(variable_sema 1)
afters ...)
(threads
e-before ...
(in-hole c (void))
e-after ...)))))
(stepper lang
reductions
`((store (y (list)))
(semas)
(threads (set! y (cons 1 y))
(set! y (cons 2 y)))))
(stepper lang
reductions
`((store (y (list)))
(semas (x 1))
(threads (begin (semaphore-wait (semaphore x))
(set! y (cons 1 y))
(semaphore-post (semaphore x)))
(begin (semaphore-wait (semaphore x))
(set! y (cons 2 y))
(semaphore-post (semaphore x)))))))