Decorated linear order types and the theory of concatenation (CROSBI ID 550360)
Prilog sa skupa u zborniku | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Čačić, Vedran ; Pudlák, Pavel ; Restall, Greg ; Urquhart, Alasdair ; Visser, Albert
engleski
Decorated linear order types and the theory of concatenation
We study the interpretation of Grzegorczyk’ s Theory of Concatenation TC in structures of decorated linear order types satisfying Grzegorczyk’ s axioms. We show that TC is incomplete for this interpretation. What is more, the first order theory validated by this interpretation interprets arithmetical truth. We also show that every extension of TC has a model that is not isomorphic to a structure of decorated order types. We provide a positive result, to wit a construction that builds structures of decorated order types from models of a suitabe concatenation theory. This construction has the property that if there is a representation of a certain kind, then the construction provides a representation of that kind.
theory of concatenation
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Podaci o prilogu
1-13.
2008.
objavljeno
Podaci o matičnoj publikaciji
Proceedings of Logic Colloquium 2007
Podaci o skupu
Nepoznat skup
predavanje
29.02.1904-29.02.2096