Abstract
This chapter introduces quantifiers and first-order logic. The first few sections demonstrate methods for designing proofs through preliminary versions of the Deduction Theorem for first-order logic, Substitutivity of Equivalences, and transformations into prenex forms. A final section derives features of predicates for equality and inequality, either as primitive predicate constants, or predicates defined from other primitive binary predicate constants. The prerequisite for this chapter is a working knowledge of the Classical Propositional Logic for instance, as in chapter 1
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Nievergelt, Y. (2015). First-Order Logic: Proofs with Quantifiers. In: Logic, Mathematics, and Computer Science. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-3223-8_2
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