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Portada de First-order Logic

First-order Logic

Autor:Smullyan, Raymond R.;
Categoría:Matemáticas
ISBN: 9783642867200
Springer nos ofrece First-order Logic en inglés, disponible en nuestra tienda desde el 14 de Abril del 2012. Amplia tus conocimientos con este libro de ciencias técnicas, perfectamente adaptado para todos los lectores por su cuidado contenido. Este libro cuenta con un total de 176 páginas (Softcover reprint of the original 1st ed. 1968).
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Argumento de First-order Logic

Except for this preface, this study is completely self-contained. It 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. We use the term "analytic" to apply to any proof procedure which obeys the subformula principle (we think of such a procedure as "analysing" the formula into its successive components). Gentzen cut-free systems are
perhaps the best known example of ana­ lytic proof procedures. Natural deduction systems, though not usually analytic, can be made so (as we demonstrated in [3]). In this study, we emphasize the tableau point of view, since we
are struck by its simplicity and mathematical elegance. Chapter I is completely introductory. We begin with preliminary material on trees (necessary for the tableau method), and then treat the basic syntactic and semantic
fundamentals of propositional logic. We use the term "Boolean valuation" to mean any assignment of truth values to all formulas which satisfies the usual truth-table conditions for the logical connectives. Given an assignment
of truth-values to all propositional variables, the truth-values of all other formulas under this assignment is usually defined by an inductive procedure. We indicate in Chapter I how this inductive definition can be made
explicit-to this end we find useful the notion of a formation tree (which we discuss earlier).
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