Simulating PRAM with a MSIMD model (ASC)

The ASC (MSIMD) model for parallel computation supports a generalized version of an associative style of computing that has been used since the introduction of associative SIMD computers in the early 1970's. In particular, this model supports data parallelism, constant time maximum and minimum operations, one or more instruction streams (ISs) which are sent to a unique set in a dynamic partition of the processors, and assignment of tasks to the ISs using control parallelism. ASC also allows a network to interconnect the processing elements (PEs). This paper shows how ASC can simulate synchronous PRAM, and the converse. These results provide an important step in defining the power of associative model in terms of PRAM which is the most studied parallel model. Also, these simulations will provide numerous algorithms for ASC by giving an automatic method of converting algorithms from PRAM to ASC.