#### Main properties of propositional logic

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Propositional calculus has several different ways to “validate” propositions: deduction systems that demonstrate theorems and semantic methods that define tautologies. The question that arises is whether these methods coincide. Decidability, coherence, completeness, compactness The fact that any proposition is demonstrable … Read More

#### Semantics of propositional logic

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Semantics determines the rules for interpreting propositions. Assigning truth values to each of the elementary propositions intervening in a proposition amounts to choosing a model of this proposition. More precisely, if we place ourselves in classical logic, the interpretation of … Read More

#### The syntax of the propositional logic

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The constituents of language At the base of the syntax of the calculus of propositions are the propositional variables or atomic propositions, denoted by p, q, etc., which generally constitute a countable infinite set. The second basic constituents of the … Read More

#### Propositional logic

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Propositional logic (propositional calculus, statement logic, sentential calculus, sentential logic, or sometimes zeroth-order logic) is part of the mathematical logic. Its purpose is the study of the logical relations between “propositions” and defines the formal laws according to which the … Read More