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Normalization, Cut-Elimination & The Theory Of Proofs

Gentzen's cut-elimination theorem is widely used as a tool for meta-mathematical investigations. It is sometimes claimed however that the;

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Methods of Cut-Elimination

This is the first book on cut-elimination in first-order predicate logic from an algorithmic point of view. Instead of just proving the;

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An Introduction to Proof Theory

(and arithmetic), natural deduction and the normalization theorems (for both NJ and NK), the sequent calculus, including cut-elimination and;

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An Introduction to Proof Theory

(and arithmetic), natural deduction and the normalization theorems (for both NJ and NK), the sequent calculus, including cut-elimination and;

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On Constructive Interpretation of Predictive Mathematics (1990)

First published in 1990, this book consists of a detailed exposition of results of the theory of interpretation developed by G. Kreisel;

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On Constructive Interpretation of Predictive Mathematics (1990)

First published in 1990, this book consists of a detailed exposition of results of the theory of interpretation developed by G. Kreisel;

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Logic for Computer Science

resolution, first-order logic, Gentzen's cut elimination theorem and applications, and Gentzen's sharpened Hauptsatz and Herbrand's theorem;

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Proof-Theoretical Coherence

This book in categorial proof theory formulates in terms of category theory a generalization close to linear algebra of the notions;

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Advances in Proof Theoretic Semantics

systematics of introduction and elimination rules and proofs of normalization, the categorial characterization of deductions, the relation between;

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Proof Theory

involving Gentzen's cut-elimination theorem and the theory of natural numbers in terms of Gödel's incompleteness theorem and Gentzen's consistency;

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Sequents and Trees

. Numerous proofs are worked through to demonstrate methods of proving important results, such as the cut-elimination theorem, completeness;

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Sequents and Trees

. Numerous proofs are worked through to demonstrate methods of proving important results, such as the cut-elimination theorem, completeness;

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Two Applications of Logic to Mathematics

number theory is a theorem in Peano's arithmetic. In doing so, the author applies Gentzen's cut elimination theorem. Although the results of Part;

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Two Applications of Logic to Mathematics

number theory is a theorem in Peano's arithmetic. In doing so, the author applies Gentzen's cut elimination theorem. Although the results of Part;

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Proof Theory and Algebra in Logic

sequent systems and discusses cut elimination and its applications in detail. It also provides simplified proof of cut elimination, making the;

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A Short Introduction to Intuitionistic Logic

make the material more accessible, basic techniques are presented first for propositional logic; Part II contains extensions to predicate logic;

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A Short Introduction to Intuitionistic Logic

make the material more accessible, basic techniques are presented first for propositional logic; Part II contains extensions to predicate logic;

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Verified Functional Programming in Agda

computation, explicit reasoning about termination, and normalization by evaluation is also included. The book also includes a medium-sized case study;

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Verified Functional Programming in Agda

computation, explicit reasoning about termination, and normalization by evaluation is also included. The book also includes a medium-sized case study;

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Discrete Mathematics

framework firmly in place, the book describes the major axioms of set theory and introduces the natural numbers. The rest of the book is more;

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Affine Bernstein Problems And Monge-ampere Equations

selfcontained introduction to research in the last decade concerning global problems in the theory of submanifolds, leading to some types of Monge;

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Decidability of Logical Theories and Their Combination

basics of computability theory. The inclusion of a chapter on Gentzen calculus, cut elimination, and Craig interpolation, as well as a chapter;

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Proof and the Art of Mathematics

theory, combinatorics, graph theory, the theory of games, geometry, infinity, order theory, and real analysis. The goal is to show students and;

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Basic Proof Theory

intelligence. For the new edition, many sections have been rewritten to improve clarity, new sections have been added on cut elimination, and solutions;

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Elimination Practice

With a software library included, this book provides an elementary introduction to polynomial elimination in practice. The library Epsilon;

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Dag Prawitz on Proofs and Meaning

in the development of modern proof theory and anti-realistic semantics. In particular, Prawitz is the main author on natural deduction;

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Lectures on the Curry-howard Isomorphism

The Curry-Howard isomorphism states an amazing correspondence between systems of formal logic as encountered in proof theory and;

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