Andrzej Indrzejczak's Books

Natural Deduction, Hybrid Systems and Modal Logics

By: Andrzej Indrzejczak

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Natural Deduction, Hybrid Systems and Modal Logics

By: Andrzej Indrzejczak

This book provides a detailed exposition of one of the most practical and popular methods of proving theorems in logic, called Natural Deduction. It is presented both historically and systematically. Also some combinations with other known proof methods are explored. The initial part of the book deals with Classical Logic, whereas the rest is concerned with systems for several forms of Modal Logics, one of the most important branches of modern logic, which has wide applicability.

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515

Publisher

Springer Science & Business Media

Published Date

ISBN 10

9048187850

ISBN 13

9789048187850

Sequents and Trees

An Introduction to the Theory and Applications of Propositional Sequent Calculi

By: Andrzej Indrzejczak

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Sequents and Trees

An Introduction to the Theory and Applications of Propositional Sequent Calculi

By: Andrzej Indrzejczak

This textbook offers a detailed introduction to the methodology and applications of sequent calculi in propositional logic. Unlike other texts concerned with proof theory, emphasis is placed on illustrating how to use sequent calculi to prove a wide range of metatheoretical results. The presentation is elementary and self-contained, with all technical details both formally stated and also informally explained. Numerous proofs are worked through to demonstrate methods of proving important results, such as the cut-elimination theorem, completeness, decidability, and interpolation. Other proofs are presented with portions left as exercises for readers, allowing them to practice techniques of sequent calculus. After a brief introduction to classical propositional logic, the text explores three variants of sequent calculus and their features and applications. The remaining chapters then show how sequent calculi can be extended, modified, and applied to non-classical logics, including modal, intuitionistic, substructural, and many-valued logics. Sequents and Trees is suitable for graduate and advanced undergraduate students in logic taking courses on proof theory and its application to non-classical logics. It will also be of interest to researchers in computer science and philosophers.

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Page Count

356

Publisher

Springer Nature

Published Date

ISBN 10

3030571459

ISBN 13

9783030571450

Foundations of the Theory of Parthood

A Study of Mereology

By: Andrzej Pietruszczak

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Foundations of the Theory of Parthood

A Study of Mereology

By: Andrzej Pietruszczak

This is the first book to systematically study the weak systems of mereology. In its chapters, the author critically analyzes and explains core topics related to mereology, such as parthood without antisymmetry, non-existence of the zero element, and Leśniewski's notion of class and set. The book also delves into three theories of parthood: two concern the sum existence axioms, and the third contends with transitivity of parthood. This is the first systematic analysis of systems of mereology of its kind and is suitable for students, scholars, logicians, and mathematicians who wish to further their knowledge of mereology. Original polish publication “Podstawy teorii części” by The Nicolaus Copernicus University Press

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Page Count

306

Publisher

Springer Nature

Published Date

ISBN 10

3030365336

ISBN 13

9783030365332

Natural Deduction, Hybrid Systems and Modal Logics

By: Andrzej Indrzejczak

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Natural Deduction, Hybrid Systems and Modal Logics

By: Andrzej Indrzejczak

Average ratings

N/A

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Solve jigsaw puzzle

Age

Page Count

515

Publisher

Springer Science & Business Media

Published Date

ISBN 10

9048187850

ISBN 13

9789048187850

Sequents and Trees

An Introduction to the Theory and Applications of Propositional Sequent Calculi

By: Andrzej Indrzejczak

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Sequents and Trees

An Introduction to the Theory and Applications of Propositional Sequent Calculi

By: Andrzej Indrzejczak

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

356

Publisher

Springer Nature

Published Date

ISBN 10

3030571459

ISBN 13

9783030571450

Book's by Andrzej Indrzejczak

Natural Deduction, Hybrid Systems and Modal Logics

Natural Deduction, Hybrid Systems and Modal Logics

Sequents and Trees

Sequents and Trees

Foundations of the Theory of Parthood

Foundations of the Theory of Parthood

Natural Deduction, Hybrid Systems and Modal Logics

Natural Deduction, Hybrid Systems and Modal Logics

Sequents and Trees

Sequents and Trees

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