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Completeness and Hauptsatz for second order logic

✍ Scribed by DAG PRAWITZ

Book ID
114916133
Publisher
Wiley (Blackwell Publishing)
Year
2008
Tongue
English
Weight
592 KB
Volume
33
Category
Article
ISSN
1755-2567

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πŸ“œ SIMILAR VOLUMES

Hauptsatz for Higher Order Logic
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✍ Dag Prawitz πŸ“‚ Article πŸ“… 1968 πŸ› Association for Symbolic Logic 🌐 English βš– 683 KB
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Simple proof of the completeness theorem for second-order classical and intuitionistic logic by reduction to first-order mono-sorted logic
✍ Karim Nour; Christophe Raffalli πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 241 KB

We present a simpler way than usual to deduce the completeness theorem for the second-order classical logic from the ΓΏrst-order one. We also extend our method to the case of second-order intuitionistic logic.

Rudimentary Languages and Second-Order L
Rudimentary Languages and Second-Order Logic
✍ Malika More; FrΓ©dΓ©ric Olive πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 446 KB

## Abstract The aim of this paper is to point out the equivalence between three notions respectively issued from recursion theory, computational complexity and finite model theory. One the one hand, the rudimentary languages are known to be characterized by the linear hierarchy. On the other hand,