PPT-22C:19 Discrete Math Logic and Proof

Fall 2011 Sukumar Ghosh Predicate Logic Propositional logic has limitations Consider this Is x gt 3 a proposition No it is a predicate Call it Px P4 is true but . Logic and Proof. Fall . 2011. Sukumar Ghosh. Predicate Logic. Propositional logic has limitations. Consider this:. Is . x. . > 3. a proposition? No, it is a . predicate. . Call it . P(x. ). . Tony Hoare. Lausanne 20 June 2011. Historical Survey. Discovery. deductive logic. constructive logic. temporal . logic. algebraic logic. Application Attribution. philosophy . Aristotle. geometry . Chapter 1, Part III: Proofs. With Question/Answer Animations. Summary. Valid Arguments and Rules of Inference. Proof Methods. Proof Strategies. Rules of Inference. Section 1.6. Section Summary. Valid Arguments. Chapter 1, Part III: Proofs. With Question/Answer Animations. Summary. Valid Arguments and Rules of Inference. Proof Methods. Proof Strategies. Rules of Inference. Section 1.6. Section Summary. Valid Arguments. Grigore. . Rosu. and Andrei Stefanescu. University of Illinois, USA. Matching Logic . Reachability. - Goal -. Language independent program verification framework. Derives program properties based on the operational semantics of a language. Chapter 1, Part III: Proofs. With Question/Answer Animations. Summary. Valid Arguments and Rules of Inference. Proof Methods. Proof Strategies. Rules of Inference. Section 1.6. Section Summary. Valid Arguments. Logic and Proof. Fall 2014. Sukumar Ghosh. Predicate Logic. Propositional logic has limitations. Consider this:. Is . x. . > 3. a proposition? No, it is a . predicate. . Call it . P(x. ). . P(4) . Structures. Logic and Proof. Spring 2014. Sukumar Ghosh. Predicate Logic. Propositional logic has limitations. Consider this:. Is . x. . > 3. a proposition? No, it is a . predicate. . Call it . Tony Hoare. Lausanne 20 June 2011. Historical Survey. Discovery. deductive logic. constructive logic. temporal . logic. algebraic logic. Application Attribution. philosophy . Aristotle. geometry . Instructor: Kecheng Yang. yangk@cs.unc.edu. We meet . at FB 009, 1:15 PM – 2:45 PM, . MoTuWeThFr. Course Homepage. : . http://cs.unc.edu/~. yangk/comp283/home.html. About Me. I am a fourth-year (fifth-year next fall) Ph.D. student.. Fall 2010. Sukumar Ghosh. Boolean Algebra. In 1938, Shannon showed how the basic rules of logic. first given by George Boole in his 1854 publication . The Laws of Thought. , can be used to design circuits. 644T.OSTROGORSKIInsections2and3wereviewsomepropertiesofthehomogeneousconesfollowingmostlyVinberg[4].Asanexampleofanapplicationofthistheorytoanalysiswestudyintegraltransformsandtheirasymptoticbehaviour Qp=Qp)denoteageometricFrobeniuselement.Thenoneseekstoproveaformulaforthesemi-simpleLefschetznumberLefss(rp;ShKp)(1.0.1)trss(rp;Hc(ShKp E Qp; Q`))=X( 0; ;)c( 0; ;)O (1Kp)TO& Lovett. http. ://cseweb.ucsd.edu/classes/wi15/cse20-a/. Clicker frequency: . CA. Todays topics. Proof by . i. nduction. Section . 3.6 . in . Jenkyns. , Stephenson. . Mathematical induction. Useful for proving theorems of the form:.