Titlebook: Mathematical Foundations of Computer Science; Sets, Relations, and Peter A. Fejer,Dan A. Simovici Textbook 1991 Springer-Verlag New York, I

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Mathematical Foundations of Computer Science978-1-4612-3086-1Series ISSN 0172-603X Series E-ISSN 2512-5486

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https://doi.org/10.1007/978-1-4612-3086-1algorithms; automata; formal language; formal languages; logic; program verification; semantics; combinator

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Induction,In this chapter, we discuss mathematical induction, a proof technique, and recursion, a method for defining functions. These two topics are of central importance in computer science and we will illustrate these subjects with many examples.

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Enumerability and Diagonalization,amental role in computer science; they serve to make precise the idea that there are more functions on the set of natural numbers than programs (in any programming language), and therefore, there exist functions that cannot be computed by any program in that programming language.

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ng for a . verdict the chapter sets out a way in which juries can identify those whose ability to conform their behaviour to the criminal law is limited; thereby creating a means by which insights from the cognitive sciences can be embraced by the courts and fairer outcomes achieved.

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Peter A. Fejer,Dan A. Simovicirnican Revolution” because they question the free will link that had created the illusion of a possible dialogue on equal terms among the human beings. The mere inclusion of the neuroscientific discoveries in the system in force is undoubtedly something important, but it could reveal itself as risky