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Questions about Boolean functions and their analysis

2 votes
0 answers
100 views

Natural proofs and size of propositional formulas

Given a formula $\phi$ of propositional logic, we define its size $|\phi|$ as the number of proposition symbols that $\phi$ contains (counted with multiplicity). For example, $|(p \land p)| = 2$. Let …
Reijo Jaakkola's user avatar
8 votes
Accepted

Complexity of computing minimum unsatisfiable core

Umans proved that a problem that he calls "succinct set cover" is $\Sigma_2^p$-complete [1]. In this problem we are given a DNF-formula with terms $T=\{t_1,\dots,t_m\}$ and a parameter $k$, the questi …
Reijo Jaakkola's user avatar