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CSL
2007
Springer
13 years 11 months ago
The Power of Counting Logics on Restricted Classes of Finite Structures
Abstract. Although Cai, F¨urer and Immerman have shown that fixedpoint logic with counting (IFP + C) does not express all polynomialtime properties of finite structures, there h...
Anuj Dawar, David Richerby
LATIN
2004
Springer
13 years 10 months ago
Approximating the Expressive Power of Logics in Finite Models
Abstract. We present a probability logic (essentially a first order language extended with quantifiers that count the fraction of elements in a model that satisfy a first order ...
Argimiro Arratia, Carlos E. Ortiz
CORR
2007
Springer
162views Education» more  CORR 2007»
13 years 5 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
CSL
2010
Springer
13 years 6 months ago
Ordered Sets in the Calculus of Data Structures
Our goal is to identify families of relations that are useful for reasoning about software. We describe such families using decidable quantifier-free classes of logical constraints...
Viktor Kuncak, Ruzica Piskac, Philippe Suter
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