A Study on Monotone Self-Dual Boolean Functions

Altun M., RIEDEL M. D.

ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, vol.33, no.1, pp.43-52, 2017 (SCI-Expanded) identifier identifier


This paper shows that monotone self-dual Boolean functions in irredundant disjuntive normal form (IDNF) do not have more variables than disjuncts. Monotone self-dual Boolean functions in IDNF with the same number of variables and disjuncts are examined. An algorithm is proposed to test whether a monotone Boolean function in IDNF with n variables and n disjuncts is self-dual. The runtime of the algorithm is O(n(3)).