@TechReport{ baumgartner:tinelli:1:2003,
author = "Peter Baumgartner and Cesare Tinelli",
title = "{T}he {M}odel {E}volution {C}alculus",
institution = "{Universität Koblenz-Landau}",
year = "{2003}",
type = "Fachberichte Informatik",
number = "1--2003",
language = "english",
address = "Universität Koblenz-Landau, Institut für
Informatik, Rheinau 1, D-56075 Koblenz",
url = "http://www.uni-koblenz.de/fb4/publikationen/gelbereihe/RR-1-2003.pdf"
,
abstract = "The DPLL procedure, due to Davis, Putnam, Logemann, and
Loveland, is the basis of some of the most successful
propositional satisfiability solvers to date. Although
originally devised as a proof-procedure for first-order
logic, it has been used almost exclusively for
propositional logic so far because of its highly
inefficient treatment of quantifiers, based on
instantiation into ground formulas. \par The recent FDPLL
calculus by Baumgartner was the first successful attempt to
lift the procedure to the first-order level without
recurring to ground instantiations. FDPLL lifts to the
first-order case the core of the DPLL procedure, the
splitting rule, but ignores other aspects of the procedure
that, although not necessary for completeness, are crucial
for its effectiveness in practice. \par In this paper, we
present a new calculus loosely based on FDPLL that lifts
these aspects as well. In addition to being a more faithful
litfing of the DPLL procedure, the new calculus contains a
more systematic treatment of {\em universal literals\/},
one of FDPLL's optimizations, and so has the potential of
leading to much faster implementations."
}
Alexander Fuchs
Last modified: Sun Mar 20 16:48:12 CST 2005