Interpreting classical theories in constructive ones
Journal of Symbolic Logic 65 (4):1785-1812 (2000)
| Abstract | A number of classical theories are interpreted in analogous theories that are based on intuitionistic logic. The classical theories considered include subsystems of first- and second-order arithmetic, bounded arithmetic, and admissible set theory | |||||||||
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Jeremy Avigad & Richard Sommer (1999). The Model-Theoretic Ordinal Analysis of Theories of Predicative Strength. Journal of Symbolic Logic 64 (1):327-349.
Stefano Berardi (1999). Intuitionistic Completeness for First Order Classical Logic. Journal of Symbolic Logic 64 (1):304-312.
Mauro Ferrari & Camillo Fiorentini (2003). A Proof-Theoretical Analysis of Semiconstructive Intermediate Theories. Studia Logica 73 (1):21 - 49.
Albert G. Dragalin (1995). Explicit Algebraic Models for Constructive and Classical Theories with Non-Standard Elements. Studia Logica 55 (1):33 - 61.
Jeremy Avigad (2004). Forcing in Proof Theory. Bulletin of Symbolic Logic 10 (3):305-333.
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