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  1. Partial Up and Down Logic.Jan O. M. Jaspars - 1995 - Notre Dame Journal of Formal Logic 36 (1):134-157.
    This paper presents logics for reasoning about extension and reduction of partial information states. This enterprise amounts to nonpersistent variations of certain constructive logics, in particular the so-called logic of constructible falsity of Nelson. We provide simple semantics, sequential calculi, completeness and decidability proofs.
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