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Present developments in laptop science clearly current the need for a higher theoretical foundation for some central factors. Methods and outcomes from mathematical logic, notably proof precept and model idea, are of good help proper right here and shall be used much more in future than beforehand. This book presents an outstanding introduction to the interplay of mathematical logic and laptop science. It incorporates extensively reworked variations of the lectures given on the 1997 Marktoberdorf Summer time time School by major researchers inside the topic.
Topics coated embrace: proof precept and specification of computation (J.-Y. Girard, D. Miller), complexity of proofs and packages (S. R. Buss, S. S. Wainer), computational content material materials of proofs (H. Schwichtenberg), constructive type idea (P. Aczel, H. Barendregt, R. L. Constable), computational arithmetic, (U. Martin), rewriting logic (J. Meseguer), and game semantics (S. Abramski).
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