propositional logic translation exercises


How to translate English sentences into propositional logic?

    Translate the following English sentences into propositional logic using atomic variables of your choice and the five basic logical operators (&, ??, ~, , ). 1) ?Either Jones owns a Ford or Smith and Brown are vacationing in Barcelona. J ?(S ?& B) 2) If a statement is true, then it is not the case that the statement is false.

What is transposition in propositional logic?

    In propositional logic, transposition is a valid rule of replacement that permits one to switch the antecedent with the consequent of a conditional statement in a logical proof if they are also both negated. It is the inference from the truth of " A implies B " the truth of "Not- B implies not- A ", and conversely.

What is a propositional vocabulary?

    We end the section with two simple definitions that are useful in discussing Propositional Logic. A propositional vocabularyis a set of proposition constants. A propositional languageis the set of all propositional sentences that can be formed from a propositional vocabulary.

Is propositional logic a natural language?

    propositional logic- formal language Propositional Logic is a formal language. - Zitoc Propositional Logic (PL) is a formal language, which has syntax, a set of symbols, and semantics. It is not a natural language such as English.
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