This text covers basic notions in logic, with a particular stress on proof theory, as opposed to, for example, model theory or set theory. It shows how they are applied in computer science, and especially the particular field of automated deduction. That is to say, the automated search for proofs of mathematical propositions. An in-depth analysis of the basic notions is included. The author often derives the same theorem by different methods, showing how different mathematical tools can be used to get at the very nature of the objects at hand, and how these tools relate to each other. This is in an attempt to present a linear collection of results, and to show that all results and methods are tightly interwoven.
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This text covers basic notions in logic, with a particular stress on proof theory, as opposed to, for example, model theory or set theory. It shows how they are applied in computer science, and especially the particular field of automated deduction. That is to say, the automated search for proofs of mathematical propositions. An in-depth analysis of the basic notions is included. The author often derives the same theorem by different methods, showing how different mathematical tools can be used to get at the very nature of the objects at hand, and how these tools relate to each other. This is in an attempt to present a linear collection of results, and to show that all results and methods are tightly interwoven.
Jean Goubault-Larrecq is Full Professor of Computer Science at the Ecole Normale Superieure de Cachan, France. He obtained his PhD in 1993 from the Ecole Polytechnique in the field of automated deduction, and since then he has led an active career in several fields of computer science: logic, computer security, semantics, domain theory, probabilistic and non-deterministic systems. He is currently heading team SECSI (security of information systems) at INRIA, France's national institute for research in computer science and control. He is the recipient of the 2011 CNRS Silver Medal in the field of computer science and its interactions. This is the highest scientific distinction in computer science in France.
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