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sav08:lecture07 [2008/03/11 17:27] vkuncak |
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| - | ====== Propositional Proofs and Simple SAT Solvers ====== | + | ====== Propositional Proofs ====== |
| This is continuation of [[lecture06]]. | This is continuation of [[lecture06]]. | ||
| + | |||
| + | Goals: | ||
| + | * discuss proof systems for propositional logic that are useful for SAT solvers | ||
| + | * 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 | ||
| + | * 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]] | ||
| - | [[DPLL Algorithm for SAT]] | + | [[Polynomial Algorithm for Horn Clauses]] and Boolean Constraint Propagation |
| 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}} | ||