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CORR
2004
Springer
176views Education» more  CORR 2004»
13 years 6 months ago
The First-Order Theory of Sets with Cardinality Constraints is Decidable
Data structures often use an integer variable to keep track of the number of elements they store. An invariant of such data structure is that the value of the integer variable is ...
Viktor Kuncak, Martin C. Rinard
STACS
2001
Springer
13 years 11 months ago
A Toolkit for First Order Extensions of Monadic Games
In 1974 R. Fagin proved that properties of structures which are in NP are exactly the same as those expressible by existential second order sentences, that is sentences of the form...
David Janin, Jerzy Marcinkowski
CADE
2004
Springer
14 years 7 months ago
Lambda Logic
Lambda logic is the union of first order logic and lambda calculus. We prove basic metatheorems for both total and partial versions of lambda logic. We use lambda logic to state a...
Michael Beeson
IJCAI
2003
13 years 8 months ago
Automated Reasoning: Past Story and New Trends
We overview the development of first-order automated reasoning systems starting from their early years. Based on the analysis of current and potential applications of such systems...
Andrei Voronkov
CSL
2006
Springer
13 years 10 months ago
On Rational Trees
Rational graphs are a family of graphs defined using labelled rational transducers. Unlike automatic graphs (defined using synchronized transducers) the first order theory of these...
Arnaud Carayol, Christophe Morvan