Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Demonstrating the different roles that logic plays in the disciplines of computer science, mathematics, and philosophy, this concise undergraduate textbook covers select topics from three different areas of logic: proof theory, computability theory, and nonclassical logic. The book balances accessibility, breadth, and rigor, and is designed so that its materials will fit into a single semester. Its distinctive presentation of traditional logic material will enhance readers' capabilities and mathematical maturity. The proof theory portion presents classical propositional logic and first-order logic using a computer-oriented (resolution) formal system. Linear resolution and its connection to the programming language Prolog are also treated. The computability component offers a machine model and mathematical model for computation, proves the equivalence of the two approaches, and includes famous decision problems unsolvable by an algorithm. The section on nonclassical logic discusses the shortcomings of classical logic in its treatment of implication and an alternate approach that improves upon it: Anderson and Belnap's relevance logic. Applications are included in each section. The material on a four-valued semantics for relevance logic is presented in textbook form for the first time. Aimed at upper-level undergraduates of moderate analytical background, Three Views of Logic will be useful in a variety of classroom settings. Gives an exceptionally broad view of logic Treats traditional logic in a modern format Presents relevance logic with applications Provides an ideal text for a variety of one-semester upper-level undergraduate courses

Proof theory --- Computable functions --- Nonclassical mathematical logic --- Nichtklassische Logik. --- Beweistheorie. --- Berechenbarkeit. --- Proof theory. --- Nonclassical mathematical logic. --- Computable functions. --- Computability theory --- Functions, Computable --- Partial recursive functions --- Recursive functions, Partial --- Constructive mathematics --- Decidability (Mathematical logic) --- Mathematical logic, Nonclassical --- Non-classical mathematical logic --- Logic, Symbolic and mathematical --- Rekursionstheorie --- Berechnungstheorie --- Transklassische Logik --- Logik --- Klassische Logik

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Edited in collaboration with FoLLI, the Association of Logic, Language and Information this book constitutes the refereed proceedings of the 20th Workshop on Logic, Language, Information and Communication, WoLLIC 2013, held in Darmstadt, Germany, in August 2013. The 17 contributed papers presented  together with 6 invited lectures were carefully reviewed and selected from 30 submissions. The scope of the workshop spans the theoretical and practical aspects of formal logic, computing and programming theory, and natural language and reasoning.   .

Computer logic --- Logic, Symbolic and mathematical --- Mathematics --- Physical Sciences & Mathematics --- Mathematical Theory --- Computer science. --- Mathematical logic. --- Computer science --- Artificial intelligence. --- Computer Science. --- Mathematical Logic and Formal Languages. --- Artificial Intelligence (incl. Robotics). --- Symbolic and Algebraic Manipulation. --- Computer Science, general. --- Mathematics. --- Berechnungstheorie. --- Formale Grammatik. --- Formale Methode. --- Formale Syntax. --- Künstliche Intelligenz. --- Logik. --- Natürliche Sprache. --- Programmierlogik. --- Programmiersprache. --- Theoretische Informatik. --- Sprache --- Philosophische Logik --- Handlungslogik --- Äquivalenz --- Formale Semantik --- Logiker --- Artificial intelligence --- Computerunterstützte Intelligenz --- Maschinelle Intelligenz --- KI --- Intelligenz --- Informatik --- Syntax --- Programmierungssprache --- Kunstsprache --- Programmierung --- Programmierungslogik --- Formales Verfahren --- Methode --- Grammatik --- Theorie der Berechenbarkeit --- Berechenbarkeitstheorie --- Berechenbarkeit --- Theorie --- Logik --- Algebra --- Artificial Intelligence. --- Data processing. --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Bionics --- Cognitive science --- Digital computer simulation --- Electronic data processing --- Logic machines --- Machine theory --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Informatics --- Science --- Computer science—Mathematics. --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Machine theory. --- Formal Languages and Automata Theory. --- Abstract automata --- Abstract machines --- Automata --- Mathematical machine theory --- Algorithms --- Recursive functions --- Robotics