Independence in Model Theory and Team Semantics
Author's Profile
Paolini Gianluca, PhD
brianervinmamaril@gmail.com
University of Helsinki
Gianluca's Works
Independence in Model Theory and Team Semantics
The subject of this doctoral thesis is the mathematical theory of independence, and its various manifestations in logic and mathematics. The topics covered in this doctoral thesis range from model theory and combinatorial geometry, to database theory, quantum logic and probability logic. This study... Read More
ETD Test Upload 12345
ETD Test Upload 12345
Abstract: The subject of this doctoral thesis is the mathematical theory of independence, and its various manifestations in logic and mathematics. The topics covered in this doctoral thesis range from model theory and combinatorial geometry, to database theory, quantum logic and probability logic. This study has two intertwined centres: - classification theory, independence calculi and combinatorial geometry (papers I-IV); - new perspectives in team semantics (papers V-VII). The first topic is a classical topic in model theory, which we approach from different directions (implication problems, abstract elementary classes, unstable first-order theories). The second topic is a relatively new logical framework where to study non-classical logical phenomena (dependence and independence, uncertainty, probabilistic reasoning, quantum foundations). Although these two centres seem to be far apart, we will see that they are linked to each others in various ways, under the guiding thread of independence.
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Author's Profile
Adam Trybus PhD
brianervinmamaril@gmail.com
University of Helsinki
Trybus' Works
An Axiom System for a Spatial Logic with Convexity
A spatial logic is any formal language with geometric interpretation. Research on region-based spatial logics, where variables are set to range over certain subsets of geometric space, have been investigated recently within the qualitative spatial reasoning paradigm in AI. We axiomatised the theory... Read More
ETD Test 20
ETD Test 20
A spatial logic is any formal language with geometric interpretation. Research on region-based spatial logics, where variables are set to range over certain subsets of geometric space, have been investigated recently within the qualitative spatial reasoning paradigm in AI. We axiomatised the theory...
Author's Profile
Koushik Pal PhD
brianervinmamaril@gmail.com
University of Helsinki
Pal's Works
Uniform Theory of Multiplicative Valued Difference Fields
The first part of the thesis concerns the existence of model companions of certain unstable theories with automorphisms. Let T be a first-order theory with the strict order property. According to Kikyo and Shelah's theorem, the theory of models of T with a generic automorphism does not have a model... Read More
The first part of the thesis concerns the existence of model companions of certain unstable theories with automorphisms. Let T be a first-order theory with the strict order property. According to Kikyo and Shelah's theorem, the theory of models of T with a generic automorphism does not have a model...