Two Level and Multi level Minimization - ppt download

Espresso Algorithm 1. Expands implicants to their maximum size Implicants covered by an expanded implicant are removed from further consideration Quality of result depends on order of implicant expansion Heuristic methods used to determine order Step is called EXPAND Irredundant cover (i.e., no proper subset is also a cover) is extracted from the expanded primes Just like the Quine-McCluskey Prime Implicant Chart Step is called IRREDUNDANT COVER Solution usually pretty good, but sometimes can be improved Might exist another cover with fewer terms or fewer literals Shrink prime implicants to smallest size that still covers ON-set Step is called REDUCE Repeat sequence REDUCE/EXPAND/IRREDUNDANT COVER to find alternative prime implicants Keep doing this as long as new covers improve on last solution A number of optimizations are tried, e.g., identify and remove essential primes early in the process
Used in formal verification tools. Efficient packages to manipulate BDDs are available.

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Multi-Level Minimization - ppt download

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