80 research outputs found

    Skolem Functions for Factored Formulas

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    Given a propositional formula F(x,y), a Skolem function for x is a function \Psi(y), such that substituting \Psi(y) for x in F gives a formula semantically equivalent to \exists F. Automatically generating Skolem functions is of significant interest in several applications including certified QBF solving, finding strategies of players in games, synthesising circuits and bit-vector programs from specifications, disjunctive decomposition of sequential circuits etc. In many such applications, F is given as a conjunction of factors, each of which depends on a small subset of variables. Existing algorithms for Skolem function generation ignore any such factored form and treat F as a monolithic function. This presents scalability hurdles in medium to large problem instances. In this paper, we argue that exploiting the factored form of F can give significant performance improvements in practice when computing Skolem functions. We present a new CEGAR style algorithm for generating Skolem functions from factored propositional formulas. In contrast to earlier work, our algorithm neither requires a proof of QBF satisfiability nor uses composition of monolithic conjunctions of factors. We show experimentally that our algorithm generates smaller Skolem functions and outperforms state-of-the-art approaches on several large benchmarks.Comment: Full version of FMCAD 2015 conference publicatio

    Going Farther by Going Together: Collaboration as a Tool in Advocacy

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    With greater understanding of the impact of social determinants on child health, advocacy has become essential to promoting children\u27s health, particularly at the population level. Successful advocacy requires coalition building. Steps on how to create a productive coalition, including the selection of partner organizations, understanding how these groups enhance your activities, and strict definition of assigned roles is reviewed. Examples of successful coalitions are reviewed. A list of potential partners, who focus on various aspects of child health, is provided
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