In discrete mathematics, predicates and quantifiers are fundamental concepts that allow us to express statements about sets, elements, and their relationships in a formal and logical manner. These ...

Abstract: The techniques of informational resource structuring mathematic formalization, the process on information structuring phases and the questions of fuzzy logic application at the phase of ...

"7. $\\lnot \\exists x\\ S(x)$.\n", "8. $\\exists x\\ \\lnot S(x)$.\n", "9. $\\lnot \\forall x\\ \\lnot S(x)$.\n", "10. $\\forall x\\ \\lnot S(x)$." "1. Don't use the ...

Abstract: We propose a logical framework to analyze complex predicates (those involving a subquery) in SQL. We propose a new operator in the relational algebra for handling such predicates, and study ...

This monthly journal, published since 1900, is devoted entirely to research in pure and applied mathematics, and, in general, includes longer papers than those in the Proceedings of the American ...

For the purpose of propositional logic, propositions are (almost) atomic black-boxes: They have names and definitions, but their names are just atomic symbols in the logic syntax, and their ...