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Outstanding Contributions to Logic
cover

Larisa Maksimova on Implication, Interpolation, and Definability

Editors: Odintsov, Sergei (Ed.)

  • Traces all Larisa Maximova's seminal contributions to the study of modal and superintutionisic logics
  • Explores influential and significant investigations in the field of non-classical logics
  • Features Larisa Maximova's scientific autobiography
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  • ISBN 978-3-319-69917-2
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  • ISBN 978-3-319-88862-0
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About this book

This edited volume focuses on the work of Professor Larisa Maksimova, providing a comprehensive account of her outstanding contributions to different branches of non-classical logic. The book covers themes ranging from rigorous implication, relevance and algebraic logic, to interpolation, definability and recognizability in superintuitionistic and modal logics. It features both her scientific autobiography and original contributions from experts in the field of non-classical logics.

Professor Larisa Maksimova's influential work involved combining methods of algebraic and relational semantics. Readers will be able to trace both influences on her work, and the ways in which her work has influenced other logicians. In the historical part of this book, it is possible to trace important milestones in Maksimova’s career. Early on, she developed an algebraic semantics for relevance logics and relational semantics for the logic of entailment. Later, Maksimova discovered that among the continuum of superintuitionisitc logics there are exactly three pretabular logics. She went on to obtain results on the decidability of tabularity and local tabularity problems for superintuitionistic logics and for extensions of S4.

Further investigations by Maksimova were aimed at the study of fundamental properties of logical systems (different versions of interpolation and definability, disjunction property, etc.) in big classes of logics, and on decidability and recognizability of such properties. To this end she determined a powerful combination of algebraic and semantic methods, which essentially determine the modern state of investigations in the area, as can be seen in the later chapters of this book authored by leading experts in non-classical logics. These original contributions bring the reader up to date on the very latest work in this field.

About the authors

Sergei Odintsov is a leading researcher of Sobolev Institute of Mathematics (Novosibirsk, Russian Federation). He is known for his work in algorithm theory and non-classical logic, including paraconsistent logics, constructive logics, semantics of logic programs. Moreover, he is an associated editor of the journal Studia Logica (Springer), a  member of the editorial boards of the journal Logica Universalis (Birkhauser) and of the book series Trends in Logic (Springer).

Table of contents (15 chapters)

Table of contents (15 chapters)
  • Maksimova, Relevance and the Study of Lattices of Non-classical Logics

    Pages 1-20

    Odintsov, Sergei

  • A Short Scientific Autobiography

    Pages 21-32

    Maksimova, Larisa

  • Larisa Maksimova’s Early Contributions to Relevance Logic

    Pages 33-60

    Bimbó, Katalin (et al.)

  • A Note on Strictly Positive Logics and Word Rewriting Systems

    Pages 61-70

    Beklemishev, Lev

  • Characteristic Formulas Over Intermediate Logics

    Pages 71-98

    Citkin, Alex

Buy this book

eBook $84.99
price for USA in USD (gross)
  • ISBN 978-3-319-69917-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA in USD
  • ISBN 978-3-319-69916-5
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA in USD
  • ISBN 978-3-319-88862-0
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Larisa Maksimova on Implication, Interpolation, and Definability
Editors
  • Sergei Odintsov
Series Title
Outstanding Contributions to Logic
Series Volume
15
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-69917-2
DOI
10.1007/978-3-319-69917-2
Hardcover ISBN
978-3-319-69916-5
Softcover ISBN
978-3-319-88862-0
Series ISSN
2211-2758
Edition Number
1
Number of Pages
XII, 371
Number of Illustrations
9 b/w illustrations
Topics

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