Generation of Verified Programs for In-Memory Computing

In order to overcome the von Neumann bottleneck, recently the paradigm of in-memory computing has emerged. Here, instead of transferring data from the memory to the CPU for computation, the computation is directly performed within the memory. ReRAM, a resistance-based storage device, is a promising technology for this paradigm. Based on ReRAM, the PLiM computer architecture and LiM-HDL, an HDL for specifying PLiM programs have emerged. In this paper, we first present a novel levelization algorithm for LiM-HDL. Based on this novel algorithm, large circuits can be compiled to PLiM programs. Then, we present a verification scheme for these programs. This scheme is separated into two steps: (1) A proof of purity and (2) a proof of equivalence. Finally, in the experiments, we first apply our levelization algorithms to a well-known benchmark set, where we show that we can generate PLiM programs for large benchmarks, for which existing levelization algorithms fails. Then, we apply our proposed verification scheme to these PLiM programs.