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» Class Algebra as a Description Logic
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CSL
2010
Springer
15 years 1 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
EWDW
1990
15 years 4 months ago
Semantics of Object-Oriented Data Models - The Evolving Algebra Approach
The formal description of the semantics of object-oriented data models is still an open problem. Some characteristic features of object-oriented data models, such as methods and i...
Georg Gottlob, Gerti Kappel, Michael Schrefl
LICS
1999
IEEE
15 years 4 months ago
Counting and Addition Cannot Express Deterministic Transitive Closure
An important open question in complexity theory is whether the circuit complexity class TC0 is (strictly) weaker than LOGSPACE. This paper considers this question from the viewpoi...
Matthias Ruhl
85
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CORR
2008
Springer
130views Education» more  CORR 2008»
15 years 17 days ago
Standard Logics Are Valuation-Nonmonotonic
It has recently been discovered that both quantum and classical propositional logics can be modelled by classes of nonorthomodular and thus non-distributive lattices that properly...
Mladen Pavicic, Norman D. Megill
BIRTHDAY
2010
Springer
15 years 1 months ago
Fixed-Point Definability and Polynomial Time on Chordal Graphs and Line Graphs
The question of whether there is a logic that captures polynomial time was formulated by Yuri Gurevich in 1988. It is still wide open and regarded as one of the main open problems...
Martin Grohe