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LICS
2010
IEEE
13 years 5 months ago
On the Strictness of the First-Order Quantifier Structure Hierarchy over Finite Structures
One of the major interests of finite model theory is to separate the expressive power of different logics or fragments of logics. In this paper, we define a variant of EhrenfeuchtF...
Yuguo He
TPHOL
2009
IEEE
14 years 2 months ago
Extended First-Order Logic
ion and equality to base types but retains lambda abstractions and higher-order variables. We show that this fragment enjoys the characteristic properties of first-order logic: co...
Chad E. Brown, Gert Smolka
FOSSACS
2005
Springer
14 years 1 months ago
Third-Order Idealized Algol with Iteration Is Decidable
The problems of contextual equivalence and approximation are studied for the third-order fragment of Idealized Algol with iteration (IA∗ 3). They are approached via a combination...
Andrzej S. Murawski, Igor Walukiewicz
LICS
1995
IEEE
13 years 11 months ago
Decision Problems for Second-Order Linear Logic
The decision problem is studied for fragments of second-order linear logic without modalities. It is shown that the structural rules of contraction and weakening may be simulated ...
Patrick Lincoln, Andre Scedrov, Natarajan Shankar
CADE
2004
Springer
14 years 7 months ago
A Resolution Decision Procedure for the Guarded Fragment with Transitive Guards
We show how well-known refinements of ordered resolution, in particular redundancy elimination and ordering constraints in combination with a selection function, can be used to obt...
Yevgeny Kazakov, Hans de Nivelle