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 . Please do not alter or modify contents All rights reserved QVSIBTFE 1BJOMTT1BSOUJOHSUI1STDIMBST BDLTPU PMEF XXXMPWF E MPHDDPN 57513 2001 Jim Fay End the Bedtime Blues Parents Dont Need to Force Kids to Go to Sleep edtime is a time of frustration 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. ). . Counting. Fall . 2011. Sukumar Ghosh. The Product Rule. Example of Product Rule. Example of Product Rule. The Sum Rule. Example of Sum Rule. Example of Sum Rule. Wedding picture example. Counting subsets of a finite set. 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. Dr. Feng Gu. Way to study a system. . Cited from Simulation, Modeling & Analysis (3/e) by Law and . Kelton. , 2000, p. 4, Figure 1.1. Model taxonomy. Modeling formalisms and their simulators . Discrete time model and their simulators . Induction and Recursion. Fall . 2011. Sukumar Ghosh. What is mathematical induction?. It is a method of proving that something holds.. Suppose we have an . infinite ladder. , and we want to know. if we . 1C. 1D. 2A. 2B. 2C. 2D. 3A. 3B. 3C. 3D. 4A. 4B. 4C. 4D. 5A. 5B. 5C. 6A. 6B. 6C. 7A. 7B. 7C. 8A. 8B. 8C. 9A. 9B. 9C. 10A. 10B. 10C. 11A. 11B. 11C. 12A. 12B. 12C. 13A. 13B. 13C. 14A. 14B. 14C. 15A. 15B. 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. 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 . Structures. Introduction and Scope:. Propositions. Spring 2015. Sukumar Ghosh. The Scope. Discrete . mathematics. . studies mathematical . structures that are . fundamentally . discrete. ,. . not . Fall . 2011. Sukumar Ghosh. The Product Rule. Example of Product Rule. Example of Product Rule. The Sum Rule. Example of Sum Rule. Example of Sum Rule. Wedding picture example. Counting subsets of a finite set. 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. �EJC� );:d)$N#)3S)ePG)[:P)f\))G)c')+0)H)c')N-22C,)E44/+/OC)g:)L6) !"#$%&'()V!%W)�&"�,"#1+#$&")+"'X&1)%=DD,1),Y�H+".,5)"CC4C4)/25 8BJ)/1)/*)E)3Q013QE+C)J-22C,)0,)/*)E