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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
POPL
1990
ACM
13 years 9 months ago
Higher-Order Modules and the Phase Distinction
Typed -calculus is an important tool in programming language research because it provides an extensible framework for studying language features both in isolation and in their rel...
Robert Harper, John C. Mitchell, Eugenio Moggi
CAV
1999
Springer
119views Hardware» more  CAV 1999»
13 years 9 months ago
A Theory of Restrictions for Logics and Automata
BDDs and their algorithms implement a decision procedure for Quanti ed Propositional Logic. BDDs are a kind of acyclic automata. Unrestricted automata (recognizing unbounded string...
Nils Klarlund
PODS
2007
ACM
171views Database» more  PODS 2007»
14 years 5 months ago
Monadic datalog over finite structures with bounded treewidth
Bounded treewidth and Monadic Second Order (MSO) logic have proved to be key concepts in establishing fixed-parameter tractability results. Indeed, by Courcelle's Theorem we ...
Georg Gottlob, Reinhard Pichler, Fang Wei
LPAR
2010
Springer
13 years 2 months ago
A Simple Class of Kripke-Style Models in Which Logic and Computation Have Equal Standing
We present a sound and complete model of lambda-calculus reductions based on structures inspired by modal logic (closely related to Kripke structures). Accordingly we can construct...
Michael Gabbay, Murdoch James Gabbay