This is a short description of the doctoral dissertation of Maaret Karttunen under the supervision of Prof. Jouko Vaananen.
Model Theory for Infinitely Deep Languages [PhD Thesis]
β 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
No coin nor oath required. For personal study only.
β¦ Synopsis
This is a short description of the doctoral dissertation of Maaret Karttunen under the supervision of Prof. Jouko Vaananen.
β¦ Table of Contents
Introduction
-
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 -
Model theoretical results
2.1. The downward Lowenheim-Skolem theorem
2.2. Los's theorem
2.3. Compactness properties -
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
π SIMILAR VOLUMES
This is a PhD Thesis written under supervision of Prof.dr. J.A.G. Groenendijk and Prof.dr. J.F.A.K. van Benthem at the Institute for Logic, Language and Computation.
This is a doctoral dissertation of Johan van Benthem accomplished under the supervision of prof. Dr. M.H.LΓΆb in 1976. This is one of the outstanding dissertations in modal logic. Later, J. van Benthem wrote a book "Modal Logic and Classical Logic", which is based on (and significantly extends) this
This is a doctoral dissertation of Johan van Benthem accomplished under the supervision of prof. Dr. M.H.LΓΆb in 1976. This is one of the outstanding dissertations in modal logic. Later, J. van Benthem wrote a book "Modal Logic and Classical Logic", which is based on (and significantly extends) this