Logic for Applications (Texts in Computer Science)

Logic for Applications (Texts in Computer Science)

Anil Nerode


In scripting this ebook, our objective was once to supply a textual content compatible for a primary path in mathematical good judgment extra attuned than the conventional textbooks to the re­ cent dramatic development within the purposes oflogic to desktop technology. hence, our selection oftopics has been seriously inspired by way of such purposes. in fact, we disguise the elemental conventional issues: syntax, semantics, soundnes5, completeness and compactness in addition to a number of extra complex effects akin to the theorems of Skolem-Lowenheim and Herbrand. a lot ofour publication, notwithstanding, bargains with different much less conventional themes. answer theorem proving performs an enormous function in our remedy of good judgment particularly in its software to common sense Programming and professional­ LOG. We deal generally with the mathematical foundations ofall 3 ofthese topics. moreover, we contain chapters on nonclassical logics - modal and intuitionistic - which are turning into more and more very important in laptop sci­ ence. We enhance the fundamental fabric at the syntax and semantics (via Kripke frames) for every of those logics. In either instances, our method of formal proofs, soundness and completeness makes use of changes of an identical tableau process in­ troduced for classical common sense. We point out the way it can simply be tailored to varied different particular forms of modal logics. a few extra complex issues (includ­ ing nonmonotonic common sense) also are in brief brought either within the nonclassical common sense chapters and within the fabric on common sense Programming and PROLOG.

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