A Resolution Decision Procedure for Fluted Logic. Schmidt, R. A. & Hustadt, U. In Proceedings of the 17th International Conference on Automated Deduction (CADE-17)</em> [Pittsburgh, USA, 17-20 June2000], volume 1831, of Lecture Notes in Artificial Intelligence, pages 433-448, 2000. Springer. Paper abstract bibtex Fluted logic is a fragment of first-order logic without function symbols in which the arguments of atomic subformulae form ordered sequences. A consequence of this restriction is that, whereas first-order logic is only semi-decidable, fluted logic is decidable. In this paper we present a sound, complete and terminating inference procedure for fluted logic. Our characterisation of fluted logic is in terms of a new class of so-called fluted clauses. We show that this class is decidable by an ordering refinement of first-order resolution and a new form of dynamic renaming, called separation.
@INPROCEEDINGS{Schmidt+Hustadt@CADE2000,
AUTHOR = {Schmidt, R. A. and Hustadt, U.},
CMONTH = jun # {~17--20,},
CYEAR = {2000},
YEAR = {2000},
TITLE = {A Resolution Decision Procedure for Fluted Logic},
EDITOR = {McAllester, D.},
BOOKTITLE = {Proceedings of the 17th International Conference
on Automated Deduction (CADE-17)</em> [Pittsburgh, USA, 17-20 June2000]},
SERIES = {Lecture Notes in Artificial Intelligence},
VOLUME = {1831},
PUBLISHER = {Springer},
PAGES = {433-448},
URL = {Schmidt+Hustadt@CADE2000.pdf},
URL = {http://dx.doi.org/10.1007/10721959_34},
ABSTRACT = {Fluted logic is a fragment of first-order logic without
function symbols in which the arguments of atomic subformulae form
ordered sequences. A consequence of this restriction is that, whereas
first-order logic is only semi-decidable, fluted logic is decidable.
In this paper we present a sound, complete and terminating inference
procedure for fluted logic. Our characterisation of fluted logic is in
terms of a new class of so-called fluted clauses. We show that this
class is decidable by an ordering refinement of first-order resolution
and a new form of dynamic renaming, called separation.}
}
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