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LECTURE 7: PROPOSITIONAL LOGIC (1)

LECTURE 7: PROPOSITIONALLOGIC (1)Software EngineeringMike WooldridgeLecture 7 Software Engineering1 What is a LOGIC ? When most people say LOGIC , they meaneitherpropositional logicorfirst-orderpredicate LOGIC . However, the precise definition is quitebroad, and literally hundreds of logicshave been studied by philosophers,computer scientists and mathematicians. Any formal system can be considered alogic if it has: a well-definedsyntax; a well-definedsemantics; and a Wooldridge1 LECTURE 7 Software Engineering Thesyntaxof a LOGIC defines thesyntactically acceptable objects of thelanguage, which are properly calledwell-formed formulae(wff). (We shall justcall them formulae.)

2.1 The Connectives Now, the study of atomic propositions is pretty boring. We therefore now introduce a number of connectives which will allow us to build up complex propositions. The connectives we introduce are: ^ and (& or .) _ or (jor +): not (˘))implies (˙or !),iff (Some books use other notations; these are given in parentheses.) Mike ...

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