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A Resolution Decision Procedure for Fluted Logic (2000)  (Make Corrections)  (7 citations)
Renate A. Schmidt, Ullrich Hustadt
Conference on Automated Deduction



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Abstract: Fluted logic is a fragment of rst-order logic without function symbols in which the arguments of atomic subformulae form ordered sequences. A consequence of this restriction is that, whereas rst-order logic is only semi-decidable, uted logic is decidable. In this paper we present a sound, complete and terminating inference procedure for uted logic. Our characterisation of uted logic is in terms of a new class of so-called uted clauses. We show that this class is decidable by an ordering ... (Update)

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BibTeX entry:   (Update)

R. A. Schmidt and U. Hustadt. A resolution decision procedure for fluted logic. In Proc. CADE-17, vol. 1831 of LNAI, pp. 433--448. Springer, 2000. http://citeseer.ist.psu.edu/article/schmidt00resolution.html   More

@inproceedings{ schmidt00resolution,
    author = "Renate A. Schmidt and Ullrich Hustadt",
    title = "A Resolution Decision Procedure for Fluted Logic",
    booktitle = "Conference on Automated Deduction",
    pages = "433-448",
    year = "2000",
    url = "citeseer.ist.psu.edu/article/schmidt00resolution.html" }
Citations (may not include all citations):
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142   Rewrite-based equational theorem proving with selection and .. (context) - Bachmair, Ganzinger - 1994
94   A structure-preserving clause form translation (context) - Plaisted, Greenbaum - 1986
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61   Using the universal modality: Gains and questions (context) - Goranko, Passy - 1992
47   Resolution strategies as decision procedures (context) - Jr - 1976
42   A superposition decision procedure for the guarded fragment .. - Ganzinger, de Nivelle - 1999
38   Resolution theorem proving - Bachmair, Ganzinger - 2000
32   Issues of decidability for description logics in the framewo.. - Hustadt, Schmidt - 2000
22   A note on Boolean modal logic (context) - Gargov, Passy - 1988
21   Decidability by resolution for propositional modal logics (context) - Schmidt - 1999
20   Functional translation and second-order frame properties of .. - Ohlbach, Schmidt - 1997
19   An empirical analysis of modal theorem provers - Hustadt, Schmidt - 1999
18   Spass: Combining superposition (context) - Weidenbach - 2000
16   Resolution Method for the Decision Problem (context) - Ferm, Leitsch et al. - 1993
16   Maslov's class K revisited - Hustadt, Schmidt - 1999
13   Variables explained away (context) - Quine - 1960
12   Inaccessible worlds (context) - Humberstone - 1983
9   all and only (context) - Humberstone, logic - 1987
9   A resolution decision procedure for the guarded fragment (context) - de Nivelle - 1998
8   Fluted formulas and the limits of decidability (context) - Purdy - 1996
8   Resolution theorem proving (context) - Ferm, Leitsch et al. - 2000
7   Superposition with simpli cation as a decision procedure for.. (context) - Bachmair, Ganzinger et al. - 1993
5   mpi-sb (context) - Weidenbach, http - 1999
4   Decidability of uted logic with identity (context) - Purdy - 1996
3   A resolution decision procedure for uted logic (context) - Schmidt, Hustadt - 2000
3   A new decidable fragment of rst order logic (context) - Herzig - 1990
3   limits of decision (context) - Purdy - 1999
2   Surrogate variables in natural language (context) - Purdy - 1996



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