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LICS
2010
IEEE
13 years 2 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
AAAI
2010
13 years 5 months ago
First-Order Indefinability of Answer Set Programs on Finite Structures
An answer set program with variables is first-order definable on finite structures if the set of its finite answer sets can be captured by a first-order sentence, otherwise this p...
Yin Chen, Yan Zhang, Yi Zhou
LICS
1999
IEEE
13 years 9 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
CADE
2001
Springer
14 years 5 months ago
A Sequent Calculus for First-Order Dynamic Logic with Trace Modalities
The modalities of Dynamic Logic refer to the final state of a program execution and allow to specify programs with pre- and postconditions. In this paper, we extend Dynamic Logic w...
Bernhard Beckert, Steffen Schlager
FROCOS
2000
Springer
13 years 8 months ago
Structured Sequent Calculi for Combining Intuitionistic and Classical First-Order Logic
We define a sound and complete logic, called FO , which extends classical first-order predicate logic with intuitionistic implication. As expected, to allow the interpretation of i...
Paqui Lucio