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sav08:lecture07 [2008/03/12 02:03]
vkuncak
sav08:lecture07 [2009/04/03 15:47]
vkuncak
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   * further illustrate notions of soundness and completeness of proof systems   * further illustrate notions of soundness and completeness of proof systems
   * show properties of proof systems on infinite formulas, because they will be useful in first-order logic   * show properties of proof systems on infinite formulas, because they will be useful in first-order logic
-  * discuss ​basic SAT solving ​algorithms+  * discuss ​some SAT solving ​techniques 
 + 
 +===== Topics =====
  
 [[Satisfiability of Sets of Formulas]] [[Satisfiability of Sets of Formulas]]
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 [[Interpolants from Resolution Proofs]] [[Interpolants from Resolution Proofs]]
  
-[[Polynomial Algorithm for Horn Clauses]]+[[Polynomial Algorithm for Horn Clauses]] ​and Boolean Constraint Propagation
  
-[[DPLL Algorithm for SAT]]+[[wp>​Schaefer'​s dichotomy theorem]]
  
 Continued in [[lecture08]]. Continued in [[lecture08]].
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   * [[Logic for Mathematics and Computer Science Textbook]]   * [[Logic for Mathematics and Computer Science Textbook]]
   * [[:Gallier Logic Book]]   * [[:Gallier Logic Book]]
 +  * An Introduction to [[Mathematical Logic and Type Theory]]
   * [[http://​www.mpi-inf.mpg.de/​~uwe/​lehre/​autreas/​readings.html|Course at MPI]], Lecture 4   * [[http://​www.mpi-inf.mpg.de/​~uwe/​lehre/​autreas/​readings.html|Course at MPI]], Lecture 4
   * {{:​ganzingerbachmairconstructionslides.pdf|Ganzinger-Bachmair Model Construction}}   * {{:​ganzingerbachmairconstructionslides.pdf|Ganzinger-Bachmair Model Construction}}