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--- lopro [2011/09/21 18:39]
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-====== Logic and Probability ======
+====== EPFL Fall 2011: Logic and Probability ======
 **Doctoral course by Val Tannen**
+Lecture notes 1 [[http://www.cis.upenn.edu/~val/LogicProbEPFL2011files/ln1.pdf|(pdf)]]
+//Course Materials//
+Old lecture notes on computability [[http://www.cis.upenn.edu/~val/LogicProbEPFL2011files/compNotes.pdf|(pdf)]]
+"On the Unusual Effectiveness of Logic in Computer Science" Halpern, Harper, Immerman, Kolaitis, Vardi, and Vianu" [[http://www.cis.upenn.edu/~val/LogicProbEPFL2011files/UnusualEffectiveness.pdf|(pdf)]]
+//Syllabus//
+  *Introduction
+    *Truth, proof, and computation: some basic results about first-order logic
+    *A bit of the story of how Mathematical Logic (and Electronic Technology) gave birth to Computer Science.
+  *Part I: Probability of Logic
+    *Random graphs and random structures
+    *0-1 laws
+    *Queries on probabilistic databases
+  *Part II: Logic of Probability
+    *Pearl-Paz logics for reasoning about probabilistic (in)dependence
+    *Reasoning about independence in Bayesian and Markov networks; the Hammersley-Clifford theorem
+    *Reasoning about independence in relational graphical models (PRMs and RMNs)
+//Some useful books//
+I will rely on basic results about computability and complexity that
+are (usually) covered in a Computer Science undergraduate curriculum.
+If you need to freshen up on these topics, I can recommend:
+"Introduction to the Theory of Computation", Sipser, PWS 1997.
+"Introduction to Automata Theory, Languages, and Computability",
+Hopcroft, Motwani, and Ullman, 2nd edition, Addison-Wesley 2001.
+"Computational Complexity", Papadimitriou, Addison-Wesley 1994.
+"Computational Complexity: A Modern Approach", Arora and Barak,
+Cambridge University Press 2009.
+I have also made available my own notes on computability (see above).
+There many textbooks on logic but let me recommend my favorites:
+"Logic for Computer Science", J. Gallier,
+(Wiley 1986), out of print but available [[http://www.cis.upenn.edu/~jean/gbooks/logic.html|here]]
+with the latest revisions.
+"A mathematical introduction to logic", H. B. Enderton,
+Harcourt/Academic Press, 1972 and 2000.
+"Introduction to mathematical logic", E. Mendelson,
+various publishers, 1964, 1979, 1987, and 1997.
+"Computability and logic", G. Boolos and R. Jeffrey,
+Cambridge Univ.~Press, 1974 and 1980.
+The complete classification of the prefix fragments of FOL
+from the point of view of the decidability of satisfiability
+is in:
+"The Classical Decision Problem", Boerger, Graedel, and Gurevich, Springer 1997.
+The story of how mathematical logic gave birth to computer
+science is told best in:
+"Engines of Logic: Mathematicians and the Origins of the Computer",
+Davis, 2nd edition, Norton 2001.
+There are many, many textbooks that offer an introduction to probabilities
+I prefer those that do a good job on discrete probability spaces. Some examples:
+"Probability and Random Processes", Grimmett, Stirzaker, Oxford U. Press 2001.
+"Probability: Theory and Examples", Durrett, Thomson (Brooks/Cole) 2005.
+There is also a brief introduction to probability
+in chapter 2 of Koller-Friedman (mentioned below).
+For 0-1 laws, I will consult
+"Elements of Finite Model Theory", Libkin, Springer 2004,
+and
+"The Strange Logic of Random Graphs", Spencer, Springer 2001.
+For the logic of independence in Bayesian and Markov networks I will follow
+selected sections from:
+"Probabilistic Graphical Models", Koller, Friedman, MIT Press 2009.