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Model Theory for Infinitely Deep Languages [PhD Thesis]

✍ Scribed by Maaret Karttunen


Publisher
Suomalainen Tiedeakatemia, University of Helsinki
Year
1984
Tongue
English
Leaves
100
Series
Annales Academiae Scientiarum Fennicae. Series A. I. Mathematica Dissertationes. Volume 50
Category
Library

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✦ Synopsis


This is a short description of the doctoral dissertation of Maaret Karttunen under the supervision of Prof. Jouko Vaananen.

✦ Table of Contents


Introduction

  1. The languages N and M
    1.1. The syntax of N and M
    1.2. The semantics of N and M
    1.3. The expressive power of N and M
    1.4. Determinacy of the semantical games

  2. Model theoretical results
    2.1. The downward Lowenheim-Skolem theorem
    2.2. Los's theorem
    2.3. Compactness properties

  3. Tree-like partial isomorphisms and N-equivalence
    3.1. Tree-like partial isomorphisms
    3.2. Constituents in N
    3.3. Characterizing N-equivalence
    3.4. M-equivalence
    3.5. Preservation of tree-like partial isomorphisms
    3.6. Strengthening elementary equivalence

References


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