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In the case for multiple variables, we list all possible combinations of true and false values for the variables and that will determine the amount of rows we have. • This number will be 2n, where n is the number of variables. • In the previous slide, the sample truth table that was shown had only 1 variable, p, so n = 1 and the
Propositional logic: a formal language for representing knowledge and for making logical inferences. • A proposition is a statement that is either true or false. • A compound proposition can be created from other propositions using logical connectives. • The truth of a compound proposition is defined by truth values of
Propositional Logic, Truth Tables, and. Predicate Logic. (Rosen, Sections 1.1, 1.2, 1.3). TOPICS. • Propositional Logic. • Logical Operations. • Equivalences. • Predicate Logic
This chapter is dedicated to one type of logic, called propositional logic. The world logic refers to the use and study of valid reasoning. Logic contains rules and techniques to formalize statements, to make them precise. Logic is studied by philosophers, mathematicians and computer scientists. Logic appears in different
Propositional Logic. Constructing Propositions. Propositional Variables: p,q,r,s, The proposition that is always true is denoted by T and the proposition that is always false is denoted by F. Compound Propositions; constructed from logical connectives and other propositions. Negation ¬. Conjunction ?. Disjunction ?.
Lecture 1: Propositional Logic. Syntax. Semantics. Truth tables. Implications and Equivalences. Valid and Invalid arguments. Normal forms. Davis-Putnam Algorithm. 1
Which ones of the following sentences are propositions? Ottawa is the capital of Canada. Buenos Aires is the capital of Brazil. 2+2=4. 2+2=5 if it rains, we don't need to bring an umbrella. x +2=4 x + y = z. When does the bus come? Do the right thing. CSI2101 Discrete Structures Winter 2010: Propositional Logic.
2 Propositional Logic. Exercises. 2.1 Which of the following are propositions: (a) If I am wrong, then I am an idiot. (b) Choose a number between 5 and 10. (c) Have I already arrived at the town of True? (d) 7 is the largest number. (e) Numbers are odd. 2.2 The Language of Discourse. Consider the propositions 'I am carrying
Propositional Logic: Contents. • Syntax and Semantics of Propositional Logic. • Satisfiability (SAT). • Tableau Algorithm for SAT. • Structural induction. • Semantic consequence and logical equivalence. • Conjunctive and disjunctive normal form (CNF and DNF). Logic in Computer Science. 2
More precisely, in this first chapter you will be introduced to propositional logic, the logical system behind the reasoning with 'not', 'and', 'or', 'if, then' and other basic sentence-combining operators. You will get acquainted with the notions of formula, logi- cal connective, truth, valid consequence, information update, formal

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February 2018