Publications in Mathematics
Books and Lecture Notes
- "
Diskrete Mathematik und Logik für Informatiker"
(2001, in German)
-
"Tools and Techniques in Modal Logic",
Studies in Logic and the Foundations of Mathematics No. 142,
Elsevier, Amsterdam, 1999.
Articles
-
"Elementary Models for Modal Predicate Logics, Part 2: Modal Individuals Revisited",
in Reinhard Kahle (ed.): "Intensionality", 2005, 60 - 96.
(with Oliver Kutz).
-
Notes On Substitution in First-Order Logic",
in: Vincent Hendricks, Fabian Neuhaus, Stig-Andur Pedersen, Uwe
Scheffler, Heinrich Wansing (eds.): First-Order Logic Revisited,
Logos Verlag, Berlin, 2004, 155 - 172.
-
"
Notes on the Space Requirements for Checking Satisfiability in
Modal Logics", IN: Philippe Balbiani, Nobo-Yuki Suzuki,
Frank Wolter and Michael Zakaryaschev (eds.): Advances
in Modal Logic 4, King's College Publications, 2003,
243 - 264.
-
"Invariant Logics", Mathematical Logic Quarterly 48(2002), 29 - 50.
-
"Atomic Incompleteness of how to kill one bird with two stones",
Bulletin of Section Logic 30/2(2001), 71 - 78.
-
"Elementary Models for Modal Predicate Logic. Part I: Completeness",
in: F. Wolter, M. de Rijke, H. Wansing, and M. Zakharyaschev (eds.):
Proceedings of AiML 2000 (with Oliver Kutz).
-
"V. V. Rybakov: Admissibility of Inference Rules." (Review),
Notre Dame Journal of Formal Logic 40(1999), 578 - 587.
-
"Modal Logics that Need Very Large Frames", Notre Dame Journal
of Formal Logic 40(1999), 141 - 173.
-
"Lattices of Modal Logics and Their Groups of Automorphisms",
Annals of Pure and Applied Logic 100(1999), 99 - 139.
-
"Normal monomodal logics can simulate all others",
Journal of Symbol Logic 64(1999), 99 - 138
(with Frank Wolter).
-
"On Extensions of Intermediate Logics by Strong Negation",
Journal of Philosophical Logic 27(1998), 49 - 73.
-
"Simulation and Transfer Results in Modal Logic --
A Survey", Studia Logica 59(1997), 149 - 177 (with Frank Wolter).
-
"Power and Weakness of the Modal Display Calculus",
in: Heinrich Wansing (ed.): "Proof Theory of Modal Logic",
Studies in Applied Logic Vol. 2, Kluwer, Dordrecht, 1996,
95 - 122.
-
"Gumm's Theorem and the Structure of Minimal Algebras",
Algebra Universalis 33(1995), 142 - 146.
-
"Highway to the Danger Zone", Journal of Logic and
Computation 5(1995), 93 - 109.
-
"Prefinitely axiomatizable modal and intermediate logics",
Mathematical Logic Quarterly 39(1993), 301 - 322.
-
"How Completeness and Correspondence Theory Got Married",
in: Maarten de Rijke (ed.): "Diamonds and Defaults",
Synthese Library vol. 229, Kluwer Academic Publishers, 1993,
175 - 214.
-
"Splittings and the finite model property",
Journal of Symbolic Logic 58(1993), 139 - 157.
-
"Even more about the lattice of tense logics",
Archive of Mathematical Logic 31(1992), 243 - 257.
-
"Properties of Independently Axiomatizable Bimodal Logics",
Journal of Symbolic Logic 56(1991), 1469 - 1485
(with Frank Wolter).
-
"A Solution to a Problem of Urquhart", Journal of Philosophical
Logic 20(1991), 285 -- 286.
-
"Internal Definability and Completeness in Modal Logic",
PhD Thesis, Department of Mathematics, FU Berlin, 1991.
-
"An Almost General Splitting Theorem For Modal Logic,
Studia Logica 49(1990), 455 -- 470.
In Preparation
(Please do not quote without asking me. Some of these papers may
not be the latest versions.)
- "Sahlqvist Horn Logics Have Interpolation, Manuscript, UCLA, 2005.
- "Logically Possible Worlds and Counterparts",
to appear in Dale Jacquette (editor): Philosophy of Logic, Elsevier.
(Together with Oliver Kutz.)
- "The Global Decidability of
K x K.♦ □ p → ▪ ◊ p and related logics", Manuscript (to appear in a paper together
with Philippe Balbiani, Jen Davoren and Raj Goré)
(if the title is garbled it is because your browser like mine
refuses to support the whole SGML fontset!)
-
"Semisimple Varieties of Modal Algebras",
to appear in Studia Logica. (Together with Tomasz Kowalski.)
-
"Modal Consequence Relations",
to appear in: Johan van Benthem, Yde Venema and Frank Wolter:
Handbook of Modal Logic, Elsevier.
Marcus Kracht
Last Modified: Thu Sep 21 2005 15:00:00