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020 _a9783031479212
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024 7 _a10.1007/978-3-031-47921-2
_2doi
050 4 _aBC1-199
072 7 _aHPL
_2bicssc
072 7 _aPHI011000
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072 7 _aQDTL
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245 1 0 _aDick de Jongh on Intuitionistic and Provability Logics
_h[electronic resource] /
_cedited by Nick Bezhanishvili, Rosalie Iemhoff, Fan Yang.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2024.
300 _aX, 384 p. 34 illus., 3 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aOutstanding Contributions to Logic,
_x2211-2766 ;
_v28
505 0 _aChapter 1. Notes on my scientific life (Dick de Jongh) -- Chapter 2. Lewisian fixed points I: Two incomparable constructions (Tadeusz Litak and Albert Visser) -- Chapter 3. An abstract look at the fixed-point theorem for provability logic (Johan van Benthem) -- Chapter 4. The Σ1-provability logic of HA revisited (Mojtaba Mojtahedi) -- Chapter 5. An overview of Verbrugge semantics, a.k.a. generalised Veltman semantics (Joost J. Joosten, Jan Mas Rovira, Luka Mikec, and Mladen Vuković) -- Chapter 6. Deciding dependence in logic and algebra (George Metcalfe and Naomi Tokuda) -- Chapter 7. About the unification types of modal logics (Philippe Balbiani and Çiğdem Gencer) -- Chapter 8. Proof theory for lax logic (Rosalie Iemhoff) -- Chapter 9. Intermediate logics in the setting of team semantics (Nick Bezhanishvili and Fan Yang) -- Chapter 10. Well partial orders (Andreas Weiermann) -- Chapter 11. Learning to act and observe in partially observable domains (Thomas Bolander, Nina Gierasimczuk, and Andrés Occhipinti Liberman) -- Chapter 12. Axiomatizing origami planes (Lev Beklemishev, Anna Dmitrieva, and Johann A. Makowsky) -- Chapter 13. Bibliography of Dick de Jongh.
520 _aThis book is dedicated to Dick de Jongh’s contributions to the theory of intuitionistic and provability logics. Consisting of 13 chapters, written by leading experts, this book discusses de Jongh’s original contributions and consequent developments that have helped to shape these fields. The book begins with an autobiographic note by Dick de Jongh, which discusses the main themes of his work and places the other contributions in context. The next four chapters explore the De Jongh-Sambin fixed point theorem and other contributions to provability and interpretability logics. The following four chapters focus on modal, intuitionistic and intuitionistic modal logics. They discuss independence of formulas, unification and de Jongh formulas in intuitionistic and modal logics. Then there follow two chapters on the other two areas to which Dick de Jongh made important contributions: the theory of well-partial orders, and formal learning theory. The second to last chapter on Origami Geometry can be seen as representing the Master of Logic program of the Institute for Logic, Language and Computation (ILLC) in which de Jongh invested a lot of energy. The book ends with a complete bibliography of Dick de Jongh in the last chapter. This volume provides a vital overview – and continuation of - de Jongh’s prolfic work in the theory of intuitionistic and provability logics.
650 0 _aLogic.
_970674
650 0 _aMathematical logic.
_966195
650 0 _aLogic, Symbolic and mathematical.
_979358
650 1 4 _aLogic.
_970674
650 2 4 _aMathematical Logic and Foundations.
_966198
650 2 4 _aMathematical Logic in Philosophy.
_979359
700 1 _aBezhanishvili, Nick.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_981239
700 1 _aIemhoff, Rosalie.
_eeditor.
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_4http://id.loc.gov/vocabulary/relators/edt
_981240
700 1 _aYang, Fan.
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710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
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776 0 8 _iPrinted edition:
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776 0 8 _iPrinted edition:
_z9783031479236
830 0 _aOutstanding Contributions to Logic,
_x2211-2766 ;
_v28
_972821
856 4 0 _uhttps://doi.org/10.1007/978-3-031-47921-2
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