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  • Whats the difference between predicate and propositional logic?
    Propositional logic is an axiomatization of Boolean logic As such predicate logic includes propositional logic Both systems are known to be consistent, e g by exhibiting models in which the axioms are satisfied Propositional logic is decidable, for example by the method of truth tables: [Truth table -- Wikipedia]
  • How to translate When in propositional logic?
    I'm looking to understand how to represent quot;When quot; in a propositional logic For example: 1: quot;I buy food when I get paid quot; Would the order of this matter, say quot;When I get pa
  • definition - Interpretations and models in propositional logic . . .
    A formula of propositional logic is true under an interpretation iff the interpretation assigns the truth value $\text T$ to that formula If a formula is true under an interpretation, then that interpretation is called a model of that formula Thus, an interpetation satisfies a formula $\varphi$ iff it is a model of the formula
  • logic - What is the difference between propositional constants . . .
    Propositional constants represent some particular proposition, while propositional variables range over the set of all atomic propositions Schemata, however, range over all propositions It is common to represent propositional constants by A, B, and C, propositional variables by P, Q, and R, and schematic letters are often Greek letters, most
  • propositional calculus - What is a resolution in logic. - Mathematics . . .
    $\begingroup$ For resolution in propositional logic, the order in which you resolve the literals does not matter for the end result, if that was your question Resolution can be applied across any two conjuncts of a CNF; the rule implicitly incorporates commutativity $\endgroup$
  • How to demystify the axioms of propositional logic?
    Laws like Pierce's law CCCpqpp come as a bit more difficult to explain intuitively, though here goes First let's observe that the implicational propositional calculus can get axiomatized using the axiom set CpCqp; CCpCqrCCpqCpr; CCCpqpp; Thus, we only need to explain how the axiom CCNpNqCqp can derive Pierce's law
  • What is the logical operator for but? - Mathematics Stack Exchange
    An alternative way of conveying the same information would be to say "I am fine and he has flu " Often, the word but is used in English to mean and, especially when there is some contrast or conflict between the statements being combined
  • Entails Propositional Logic - Mathematics Stack Exchange
    Substitution in deduction - Propositional logic 1 Prove that $\alpha\vdash\beta$ implies $\alpha\vee\gamma\vdash\beta\vee\gamma$ using four unary Hilbert-style rules of inference
  • Whats the difference between the main types of logic?
    Propositional, first-order and second order logics are just few examples of these formal logical systems The differences in these systems are in the expressiveness of the said systems For instance in propositional logic one deals only with true-or-false statements while in first-order logic one can use formulas which states that certain





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