a short introduction to intuitionistic logic university series in mathematics

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A Short Introduction To Intuitionistic Logic

Author : Grigori Mints
ISBN : 9780306469756
Genre : Mathematics
File Size : 88. 71 MB
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Intuitionistic logic is presented here as part of familiar classical logic which allows mechanical extraction of programs from proofs. to make the material more accessible, basic techniques are presented first for propositional logic; Part II contains extensions to predicate logic. This material provides an introduction and a safe background for reading research literature in logic and computer science as well as advanced monographs. Readers are assumed to be familiar with basic notions of first order logic. One device for making this book short was inventing new proofs of several theorems. The presentation is based on natural deduction. The topics include programming interpretation of intuitionistic logic by simply typed lambda-calculus (Curry-Howard isomorphism), negative translation of classical into intuitionistic logic, normalization of natural deductions, applications to category theory, Kripke models, algebraic and topological semantics, proof-search methods, interpolation theorem. The text developed from materal for several courses taught at Stanford University in 1992-1999.

Model And Proof Theory Of Constructive Alc

Author : Stephan Scheele
ISBN : 9783863093204
Genre :
File Size : 83. 79 MB
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Frontiers Of Combining Systems

Author : Silvio Ghilardi
ISBN : 9783642042218
Genre : Computers
File Size : 77. 86 MB
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Problems In Set Theory Mathematical Logic And The Theory Of Algorithms

Author : Igor Lavrov
ISBN : 9781461501855
Genre : Mathematics
File Size : 87. 30 MB
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Problems in Set Theory, Mathematical Logic and the Theory of Algorithms by I. Lavrov & L. Maksimova is an English translation of the fourth edition of the most popular student problem book in mathematical logic in Russian. It covers major classical topics in proof theory and the semantics of propositional and predicate logic as well as set theory and computation theory. Each chapter begins with 1-2 pages of terminology and definitions that make the book self-contained. Solutions are provided. The book is likely to become an essential part of curricula in logic.

Handbook Of Practical Logic And Automated Reasoning

Author : John Harrison
ISBN : 9780521899574
Genre : Computers
File Size : 23. 80 MB
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One-stop reference, self-contained, with theoretical topics presented in conjunction with implementations for which code is supplied.

Foundations Of Mathematical Logic

Author : Haskell Brooks Curry
ISBN : 0486634620
Genre : Mathematics
File Size : 21. 17 MB
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Written by a pioneer of mathematical logic, this comprehensive graduate-level text explores the constructive theory of first-order predicate calculus. It covers formal methods — including algorithms and epitheory — and offers a brief treatment of Markov's approach to algorithms. It also explains elementary facts about lattices and similar algebraic systems. 1963 edition.

The Bulletin Of Symbolic Logic

Author :
ISBN : UVA:X030586703
Genre : Logic, Symbolic and mathematical
File Size : 80. 97 MB
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Author :
ISBN : STANFORD:36105111050477
Genre : American literature
File Size : 58. 83 MB
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Mathematical Logic

Author : Stephen Cole Kleene
ISBN : 9780486317076
Genre : Mathematics
File Size : 38. 45 MB
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Contents include an elementary but thorough overview of mathematical logic of 1st order; formal number theory; surveys of the work by Church, Turing, and others, including Gödel's completeness theorem, Gentzen's theorem, more.

An Introduction To The Philosophy Of Mathematics

Author : Mark Colyvan
ISBN : 9780521826020
Genre : Mathematics
File Size : 36. 37 MB
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This introduction to the philosophy of mathematics focuses on contemporary debates in an important and central area of philosophy. The reader is taken on a fascinating and entertaining journey through some intriguing mathematical and philosophical territory, including such topics as the realism/anti-realism debate in mathematics, mathematical explanation, the limits of mathematics, the significance of mathematical notation, inconsistent mathematics and the applications of mathematics. Each chapter has a number of discussion questions and recommended further reading from both the contemporary literature and older sources. Very little mathematical background is assumed and all of the mathematics encountered is clearly introduced and explained using a wide variety of examples. The book is suitable for an undergraduate course in philosophy of mathematics and, more widely, for anyone interested in philosophy and mathematics.

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