Donald Sannella - Introduction to Computation: Haskell, Logic and Automata (Undergraduate Topics in Computer Science)
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- Book:Introduction to Computation: Haskell, Logic and Automata (Undergraduate Topics in Computer Science)
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Undergraduate Topics in Computer Science (UTiCS) delivers high-quality instructional content for undergraduates studying in all areas of computing and information science. From core foundational and theoretical material to final-year topics and applications, UTiCS books take a fresh, concise, and modern approach and are ideal for self-study or for a one- or two-semester course. The texts are all authored by established experts in their fields, reviewed by an international advisory board, and contain numerous examples and problems, many of which include fully worked solutions.
The UTiCS concept relies on high-quality, concise books in softback format, and generally a maximum of 275300 pages. For undergraduate textbooks that are likely to be longer, more expository, Springer continues to offer the highly regarded Texts in Computer Science series, to which we refer potential authors.
More information about this series at https://link.springer.com/bookseries/7592
This Springer imprint is published by the registered company Springer Nature Switzerland AG
The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
This is the textbook for the course Introduction to Computation, taught in the School of Informatics at the University of Edinburgh.
ECTS is the European Credit Transfer and Accumulation System, which is used in the European Union and other European countries for comparing academic credits. See https://en.wikipedia.org/wiki/European_Credit_Transfer_and_Accumulation_System .
First-year Informatics students also take a 10-credit course in the second semester that covers object-oriented programming in Java, and a 10-credit Mathematics course in each semester, on linear algebra and calculus. (Plus 20 credits of other courses of their choice.) Together, these courses are designed to provide a foundation that is built upon by subsequent courses at all levels in Informatics. This includes courses in theoretical and practical topics, in software and hardware, in artificial intelligence, data science, robotics and vision, security and privacy, and many other subjects.
One aspect that is not quite standard is that our NFAs may have multiple start states; this is a useful generalisation that simplifies some aspects of the theory.
Functional programming: Computing based on calculation using data structures, without states, in Haskell. This provides an introduction to programming and algorithmic thinking, and is used as a basis for introducing key concepts that will appear later in the curriculum, including: software testing; computational complexity and big-O notation; modular design, data representation, and data abstraction; proof of program properties; heuristic search; and combinatorial algorithms.
Symbolic logic: Describing and reasoning about information, where everything is either true or false. The emphasis is mainly on propositional logic and includes: modelling the world; syllogisms; sequent calculus; conjunctive and disjunctive normal forms, and ways of converting propositional formulae to CNF and DNF; the Davis-Putnam-Logemann-Loveland (DPLL) satisfiability-checking algorithm; and novel diagrammatic techniques for counting the number of satisfying valuations of a 2-CNF formula.
- Finite automata: Computing based on moving between states in response to input, as a very simple and limited but still useful model of computation. The coverage of this topic is fairly standard, including: deterministic finite automata; non-deterministic finite automata with and without
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