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15-815 Automated Theorem Proving


Schedule

Note that this schedule is subject to change during the semester.

Date Topic Reading Slides Code Due
Aug 23 Introduction natded.ps, pp. 1-2      
Aug 25 Natural Deduction natded.ps, pp. 3-16      
Aug 27 Proof Terms pterms.ps lecture03.ps natded (.tgz)  
Aug 30 Intercalation intercal.ps      
Sep 1 Sequent Calculus seq.ps      
Sep 3 Cut Elimination cutelim.ps     Ass 1
Sep 6 Labor Day: No Classes        
Sep 8 Quantification seqterms.ps      
Sep 10 Inversion inversion.ps, pp. 55-56     Ass 2
Sep 13 Inversion Proofs inversion.ps, pp. 57-59      
Sep 15 Focused Derivations focus.ps      
Sep 17 A Focusing Prover focus.ps, pp. 65-67 lecture11.ps focus (.tgz) Ass 3
Sep 20 Residuating Equality resid.ps      
Sep 22 Unification unif.ps      
Sep 24 Substitutions unif2.ps     Ass 4
Sep 27 Unification with Parameters   lecture15.ps unif (.tgz)  
Sep 29 No Class        
Oct 1 No Class        
Oct 4 Towards Tableaux       Ass 5
Oct 6 Variables in Multiple-Conclusion Sequents        
Oct 8 Midterm Exam (in class)        
Oct 11 Midsemester Break: No Classes        
Oct 13 Forward Sequent Calculus fwdseq.ps      
Oct 15 The Subformula Property subform.ps, pp. 88-90      
Oct 18 Subsumption subform.ps, pp. 91-92      
Oct 20 Inverse Focusing invfocus.ps      
Oct 22 Classical Logic       Week 1
Oct 25 Inverse Method with Quantifiers resolution.ps, pp. 99-101      
Oct 27 Parameter Variables resolution.ps, pp. 102-105      
Oct 29 Lifting Lemma       Week 2
Nov 1 Resolution tammet.ps, pp. 13-23, 29-36      
Nov 3 Path Indexing ramakrishnan.ps, pp. 1-20, 33-41 lecture27.ps index (.tgz)  
Nov 5 Discrimination Trees ramakrishnan.ps, pp. 42-48 lecture28.ps index (.tgz) Week 3
Nov 8 Equality equality.ps, pp. 107-111      
Nov 10 Cut Elimination with Equality equality.ps, pp. 111-114      
Nov 12 Residuating Equational Constraints equality.ps, pp. 115-116     Week 4
Nov 15 Ordering nieuwenhuis.ps, pp. 9-12      
Nov 17 Ground Superposition nieuwenhuis.ps, pp. 12-17      
Nov 19 Constrained Paramodulation nieuwenhuis.ps, pp. 18-20, 31-35     Week 5
Nov 22 Project Day: No class        
Nov 24 Thanksgiving Break: No classes        
Nov 26 Thanksgiving Break: No classes        
Nov 29 Project Presentation: Group Blue        
Dec 1 Project Presentation: Group Green        
Dec 3 Project Presentations: Group Red        

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Frank Pfenning
fp@cs