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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).

1 What is a Logic? When most people say ‘logic’, they mean either propositional logic or first-order predicate logic. However, the precise definition is quite broad, and literally hundreds of logics have been studied by philosophers, computer scientists and mathematicians. Any ‘formal system’ can be considered a logic if it has:

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