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» On Monadic Theories of Monadic Predicates
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NDJFL
2010
14 years 4 months ago
Polyadic Quantification via Denoting Concepts
The question of the origin of polyadic expressivity is explored and the results are brought to bear on Bertrand Russell's 1903 theory of denoting concepts, which is the main o...
Ori Simchen
CSL
2000
Springer
15 years 2 months ago
Interactive Programs in Dependent Type Theory
We introduce basic concepts from object-oriented programming into dependent type theory based on the idea of modelling objects as interactive programs. We consider methods, interf...
Peter Hancock, Anton Setzer
CORR
2007
Springer
162views Education» more  CORR 2007»
14 years 9 months ago
Order-Invariant MSO is Stronger than Counting MSO in the Finite
We compare the expressiveness of two extensions of monadic second-order logic (MSO) over the class of finite structures. The first, counting monadic second-order logic (CMSO), ex...
Tobias Ganzow, Sasha Rubin
ACL
1998
14 years 11 months ago
A Descriptive Characterization of Tree-Adjoining Languages (Project Note)
Since the early Sixties and Seventies it has been known that the regular and context-free languages arc characterized by definability in the monadic second-order theory of certain...
James Rogers
ITA
2008
137views Communications» more  ITA 2008»
14 years 9 months ago
Weakly maximal decidable structures
We prove that there exists a structure M whose monadic second order theory is decidable, and such that the elementary theory of every expansion of M by a constant is undecidable. 1...
Alexis Bès, Patrick Cégielski