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for the mutual exclusion algorithm of rica81a prove that mutual exclusion is enforcedb if messages do not arrive in the
in the token-passing mutual exclusion algorithm is the timestamping used to reset clocks and correct drifts as in the
it is straightforward to show that every moore fsm is a mealy fsm given a mealy fsm show how to construct a moore fsm
sketch an assembly-language program to emulate a target cpu by a host cpu under the assumption that each cpus
suppose that an fsm is allowed to make state -transitions that is state transitions on the empty string show that the
a find a simple nondeterministic finite-state machine accepting the language 01 cup 001 cup 010lowast over sigma 0 1b
a let sigma 0 1 2 and let l be the language over sigma that contains each string w ending with some symbol that does
describe an algorithm to convert a regular expression to an nfsm using the proof of theorem 441theorem 441given a
describe an algorithm that constructs an nfsm from a regular expression r and accepts a string w if w contains a string
sketch a proof that in on4 steps a turing machine can verify that a particular tour of n cities in an instance of the
design the additional circuitry needed to transform a sequential circuit for a randomaccess memory into one for a tape
write an assembly-language program to multiply two binary numbers using the simple cpu of section 310 how large are the
assume that the simple cpu of section 310 is modified to address an unlimited number of memory locations show that it
write an assembly-language program that repeatedly examines the input register until it is nonzero and then moves its
design a circuit that finds the most significant non-zero position in an n-bit binary number and logically shifts the
give a construction of a circuit for subtracting one n-bit positive binary integer from another using the
the assembly-language instructions of fig 318 operate on integers show that the operations and or and not can be
given a straight-line program for a boolean function describe the steps taken to compute it during fetch-and-execute
describe an fsm that compares two binary numbers supplied as concurrent streams of bits in descending order of
show that strassens matrix multiplication algorithm can be used to multiply square boolean matrices by replacing or by
a circulant is an n times n matrix in which the rth row is the rth cyclic shift of the first row 2 le r le n when n is
consider the design of a bus arbitration sequential circuit for a computer containing four cpus this circuit has four
sketch a data-parallel program that operates on a sorted list of keys and finds the largest number of times that a key
sketch a data-parallel program to find the last record in a linked list where initially each record contains the
the n times n mesh-of-trees network n 2r is formed from a n times n mesh by replacing each linear connection forming a