An Algorithm for NAND Decomposition Under Network Constraints

  • Authors:
  • E. S. Davidson

  • Affiliations:
  • -

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 1969

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Abstract

A branch-and-bound algorithm is presented for the synthesis of multioutput, multilevel, cycle-free NAND networks to realize an arbitrary given set of partially or completely specified combinational switching functions. In a programmed version of the algorithm, fan-in, fan-out, and level constraints may be specified. Cost may be specified as a nonnegative integer linear combination of gates and gate inputs. Further constraints and cost criteria are compatible with the algorithm. A first solution is constructed by a sequence of local decisions, and backtracking is executed to find improved solutions and to prove the optimality of the final solution.