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portada Proof Analysis: A Contribution to Hilbert's Last Problem
Type
Physical Book
Year
2014
Language
English
Pages
278
Format
Paperback
Dimensions
24.4x17x1.5 cm
Weight
0.44 kg.
ISBN13
9781107417236

Proof Analysis: A Contribution to Hilbert's Last Problem

Jan Von Plato (Author) · Sara Negri (Author) · Cambridge University Press · Paperback

Proof Analysis: A Contribution to Hilbert's Last Problem - Negri, Sara ; Von Plato, Jan

New Book Imported to Taiwan
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NT$ 2,343
NT$ 2,343

Synopsis "Proof Analysis: A Contribution to Hilbert's Last Problem "

This book continues from where the authors' previous book, Structural Proof Theory, ended. It presents an extension of the methods of analysis of proofs in pure logic to elementary axiomatic systems and to what is known as philosophical logic. A self-contained brief introduction to the proof theory of pure logic is included that serves both the mathematically and philosophically oriented reader. The method is built up gradually, with examples drawn from theories of order, lattice theory and elementary geometry. The aim is, in each of the examples, to help the reader grasp the combinatorial behaviour of an axiom system, which typically leads to decidability results. The last part presents, as an application and extension of all that precedes it, a proof-theoretical approach to the Kripke semantics of modal and related logics, with a great number of new results, providing essential reading for mathematical and philosophical logicians.

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