Titlebook: A Logical Approach to Discrete Math; David Gries,Fred B. Schneider Textbook 1993 Springer-Verlag New York 1993 Fortran.algebra.calculus.co

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Angelika Dörfler-Dierken,Gerhard Kümmelof integers, the set of brown cows, and the set of computer science departments. A cornerstone of mathematics, the set is also an essential ingredient of computer science and finds application in areas such as artificial intelligence, databases, and programming languages. The study of sets leads to

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Angelika Dörfler-Dierken,Gerhard Kümmelportance in mathematics and computer science: .. We explore this technique in this chapter. We also investigate induction over sets other than ℕ. We show how properties of an inductively defined function can be proved using induction, and we show how a loop can be analyzed using induction.

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https://doi.org/10.1007/978-3-658-32855-9of Chap. 9. The algebras discussed here are ., and .. They are useful throughout computer science and mathematics. For example, Chap. 8 was devoted to the study of quantification over an arbitrary abelian monoid. Semigroups and monoids find application in formal languages, automata theory, and codin

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A Logical Approach to Discrete Math978-1-4757-3837-7Series ISSN 0172-603X Series E-ISSN 2512-5486

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Angelika Dörfler-Dierken,Gerhard Kümmels) and the proof and development of sequences of assignments. Skill with predicate logic can be used to reformulate English specifications, with all their vagueness and ambiguities, as formal specifications. Also, parts of assignments can be . instead of guessed. Finally, we discuss the conditional statement and conditional expression.