This completely self-contained study, widely considered the best book in the field, is intended to serve both as an introduction to quantification theory and as an exposition of new results and techniques in "analytic" or "cut-free" methods. Impressed by the simplicity and mathematical elegance of the tableau point of view, the author focuses on it here.
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Review: First-Order LogicUser Review - Peter - Goodreads
Still working on this. The kind of book that makes you feel the lights coming on and the gears starting to spin. Read full review
Review: First-Order LogicUser Review - Timon Karnezos - Goodreads
You want to know the nitty-gritty of FOL? Smullyan's your boy. He even has some awesome puzzle books for you to put some of the arcane theory of it into practice. Read full review