David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
Cambridge University Press (2000)
This introduction to the basic ideas of structural proof theory contains a thorough discussion and comparison of various types of formalization of first-order logic. Examples are given of several areas of application, namely: the metamathematics of pure first-order logic (intuitionistic as well as classical); the theory of logic programming; category theory; modal logic; linear logic; first-order arithmetic and second-order logic. In each case the aim is to illustrate the methods in relatively simple situations and then apply them elsewhere in much more complex settings. There are numerous exercises throughout the text. In general, the only prerequisite is a standard course in first-order logic, making the book ideal for graduate students and beginning researchers in mathematical logic, theoretical computer science and artificial intelligence. For the new edition, many sections have been rewritten to improve clarity, new sections have been added on cut elimination, and solutions to selected exercises have been included.
|Categories||categorize this paper)|
|Buy the book||$44.00 new (27% off) $48.89 direct from Amazon (19% off) $52.79 used (13% off) Amazon page|
|Call number||QA9.54.T76 2000|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
Elia Zardini (2011). Truth Without Contra(di)Ction. Review of Symbolic Logic 4 (4):498-535.
Sergei Artemov (2008). The Logic of Justification. Review of Symbolic Logic 1 (4):477-513.
Jeremy Avigad, Edward Dean & John Mumma (2009). A Formal System for Euclid's Elements. Review of Symbolic Logic 2 (4):700--768.
David Ripley (2015). Anything Goes. Topoi 34 (1):25-36.
Stephen Read (2000). Harmony and Autonomy in Classical Logic. Journal of Philosophical Logic 29 (2):123-154.
Similar books and articles
P. T. Johnstone (1987). Notes on Logic and Set Theory. Cambridge University Press.
Graeme Forbes (1994). Modern Logic: A Text in Elementary Symbolic Logic. Oxford University Press.
G. Mints (1999). Cut-Elimination for Simple Type Theory with an Axiom of Choice. Journal of Symbolic Logic 64 (2):479-485.
Theodore Sider (2010). Logic for Philosophy. Oxford University Press.
Sara Negri (2011). Proof Analysis: A Contribution to Hilbert's Last Problem. Cambridge University Press.
Kenny Easwaran (2010). Logic and Probability. Journal of the Indian Council of Philosophical Research 27 (2):229-253.
Added to index2009-01-28
Total downloads46 ( #90,708 of 1,796,442 )
Recent downloads (6 months)5 ( #168,770 of 1,796,442 )
How can I increase my downloads?