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Model Theory for Infinitely Deep Languages [PhD Thesis]

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

Author(s): Maaret Karttunen
Series: Annales Academiae Scientiarum Fennicae. Series A. I. Mathematica Dissertationes. Volume 50
Publisher: Suomalainen Tiedeakatemia, University of Helsinki
Year: 1984

Language: English
Commentary: Scanned, DjVu'ed, OCR'ed by Envoy
Pages: 100

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