The document discusses three types of programmable logic devices (FPLDs): simple PLDs (SPLDs), complex PLDs (CPLDs), and field programmable gate arrays (FPGAs). SPLDs contain less than 1000 logic gates, CPLDs have higher logic capacity than SPLDs, and FPGAs have the highest logic capacity. CPLDs are composed of multiple SPLDs like PALs interconnected on a single chip, allowing for larger designs than SPLDs.