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Some new techniques for finding minimal set of tests which detect faults in combinational logic networks are described. A systematic procedure which can be programmed on a digital computer is given. Moreover, a new approach to the design of fault detection experiments for sequential machines which takes into account the actual construction of the sequential network is described.
Some properties of multiprocessing systems, i.e. computing systems in which a set of computational elements share a pool of storage elements are investigated. In particular, the conditions for the output-functionality of these systems are studied, where a computing systems is defined as being output-functional when it produces the same sequence of outputs for the same program, initial state, and input...
A pushdown table machine can be simulated by a computer in time n log log n where n is the number of table machine operations. A finite state table machine can be simulated in linear time.
This paper develops techniques for establishing a lower bound on the number of arithmetic operations necessary for sets of simple expressions. The techniques are applied to matrix multiplication. A modification of Strassen's algorithm is developed for multiplying n × p matrices by p × q matrices. The techniques are used to prove that this algorithm minimizes the number of multiplications for a few...
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