Abstract: Methods and systems for executing SIMD instructions that efficiently implement new SIMD instructions and conventional existing SIMD MAC-type instructions, while avoiding replication of functions in order to keep the size of the logic circuit size to as low a level as can reasonably be achieved. An instruction unit executes Single Instruction Multiple Data instructions, including instructions acting on operands representing complex numbers. The instruction unit includes functional blocks that are commonly utilized to execute a plurality of the instructions, wherein the plurality of instructions utilize various individual functional blocks in various combinations with one another. The plurality of instructions is optionally executed in a pipeline fashion.

Abstract: Techniques directed to realizing and verifying a logic model design are provided by first dividing the logic model design into two or more logic portions. The various model portions can then realized to form various realized logic portions. A first realized logic portion can then be wrapped and formally verified against its respective model. The wrapper can then be verified by first applying the wrapper to a second logic model portion and a second realized logic portion, then formally verifying them against each other. The resulting output can then be used to prove wrapper correctness.

Abstract: Techniques directed to realizing and verifying a logic model design are provided by first dividing the logic model design into two or more logic portions. The various model portions can then realized to form various realized logic portions. A first realized logic portion can then be wrapped and formally verified against it's respective model. The wrapper can then be verified by first applying the wrapper to a second logic model portion and a second realized logic portion, then formally verifying them against each other. The resulting output can then be prove wrapper correctness.