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» On the Complexity of Fragments of Modal Logics
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APAL
1999
88views more  APAL 1999»
13 years 7 months ago
A Simple Propositional S5 Tableau System
We give a sound and complete propositional S5 tableau system of a particularly simple sort, having an easy completeness proof. It sheds light on why the satisfiability problem for...
Melvin Fitting
CIE
2008
Springer
13 years 7 months ago
First-Order Model Checking Problems Parameterized by the Model
We study the complexity of the model checking problem, for fixed models A, over certain fragments L of first-order logic, obtained by restricting which of the quantifiers and boole...
Barnaby Martin
LICS
1999
IEEE
13 years 12 months ago
First-Order Logic vs. Fixed-Point Logic in Finite Set Theory
The ordered conjecture states that least fixed-point logic LFP is strictly more expressive than first-order logic FO on every infinite class of ordered finite structures. It has b...
Albert Atserias, Phokion G. Kolaitis
LICS
2007
IEEE
14 years 1 months ago
First-Order and Temporal Logics for Nested Words
Nested words are a structured model of execution paths in procedural programs, reflecting their call and return nesting structure. Finite nested words also capture the structure ...
Rajeev Alur, Marcelo Arenas, Pablo Barceló,...
LOGCOM
2007
115views more  LOGCOM 2007»
13 years 7 months ago
The Dynamics of Syntactic Knowledge
The syntactic approach to epistemic logic avoids the logical omniscience problem by taking knowledge as primary rather than as defined in terms of possible worlds. In this study, ...
Thomas Ågotnes, Natasha Alechina