Results 1  10
of
19
On evaluating decision procedures for modal logic
, 1997
"... {hustadt, schmidt} topisb.mpg.de This paper investigates the evaluation method of decision procedures for multimodal logic proposed by Giunchiglia and Sebastiani as an adaptation from the evaluation method of Mitchell et al of decision procedures for propositional logic. We compare three different ..."
Abstract

Cited by 52 (7 self)
 Add to MetaCart
{hustadt, schmidt} topisb.mpg.de This paper investigates the evaluation method of decision procedures for multimodal logic proposed by Giunchiglia and Sebastiani as an adaptation from the evaluation method of Mitchell et al of decision procedures for propositional logic. We compare three different theorem proving approaches, namely the DavisPutnambased procedure KSAT, the tableauxbased system KTUS and a translation approach combined with firstorder resolution. Our results do not support the claims of Giunchiglia and Sebastiani concerning the computational superiority of KSAT over KRIS, and an easyhardeasy pattern for randomly generated modal formulae. 1
MSPASS: Modal Reasoning by Translation and FirstOrder Resolution
, 2000
"... mspass is an extension of the firstorder theorem prover spass, which can be used as a modal logic theorem prover, a theorem prover for description logics and a theorem prover for the relational calculus. ..."
Abstract

Cited by 36 (4 self)
 Add to MetaCart
mspass is an extension of the firstorder theorem prover spass, which can be used as a modal logic theorem prover, a theorem prover for description logics and a theorem prover for the relational calculus.
PSpace Reasoning for Graded Modal Logics
, 1999
"... We present a PSpace algorithm that decides satisfiability of the graded modal logic Gr(KR)  a natural extension of propositional modal logic KR by counting expressions  which plays an important role in the area of knowledge representation. The algorithm employs a tableaux approach and is the rst k ..."
Abstract

Cited by 27 (1 self)
 Add to MetaCart
We present a PSpace algorithm that decides satisfiability of the graded modal logic Gr(KR)  a natural extension of propositional modal logic KR by counting expressions  which plays an important role in the area of knowledge representation. The algorithm employs a tableaux approach and is the rst known algorithm which meets the lower bound for the complexity of the problem. Thus, we exactly fix the complexity of the problem and refute an ExpTimehardness conjecture. We extend the results to the logic Gr(K R 1 \ ), which augments Gr(KR) with inverse modalities and intersection of accessibility relations. This establishes a kind of "theoretical benchmark" that all algorithmic approaches can be measured with.
An Empirical Analysis Of Modal Theorem Provers
"... This paper reports on an empirical performance analysis of four modal theorem provers on benchmark suites of randomly generated formulae. The theorem provers tested are the DavisPutnambased procedure Ksat, the tableauxbased system KRIS, the sequentbased Logics Workbench, and a translation appro ..."
Abstract

Cited by 23 (10 self)
 Add to MetaCart
This paper reports on an empirical performance analysis of four modal theorem provers on benchmark suites of randomly generated formulae. The theorem provers tested are the DavisPutnambased procedure Ksat, the tableauxbased system KRIS, the sequentbased Logics Workbench, and a translation approach combined with the firstorder theorem prover SPASS.
Resolution is a Decision Procedure for Many Propositional Modal Logics
, 1997
"... The paper shows satisfiability in many propositional modal systems can be decided by ordinary resolution procedures. This follows from a general result that resolution and condensing is a decision procedure for the satisfiability problem of formulae in socalled path logics. Path logics arise from p ..."
Abstract

Cited by 14 (4 self)
 Add to MetaCart
The paper shows satisfiability in many propositional modal systems can be decided by ordinary resolution procedures. This follows from a general result that resolution and condensing is a decision procedure for the satisfiability problem of formulae in socalled path logics. Path logics arise from propositional and normal uni and multimodal logics by the optimised functional translation method. The decision result provides an alternative decision proof for the relevant modal logics (including K, KD, KT and KB, their combinations ...
A PSpace Algorithm for Graded Modal Logic
 In Proc. of CADE16, LNCS
, 1999
"... We present a PSpace algorithm that decides satisfiability of the graded modal logic Gr(K_R)a natural extension of propositional modal logic KR by counting expressionswhich plays an important role in the area of knowledge representation. The algorithm employs a tableaux approach and is the firs ..."
Abstract

Cited by 14 (6 self)
 Add to MetaCart
We present a PSpace algorithm that decides satisfiability of the graded modal logic Gr(K_R)a natural extension of propositional modal logic KR by counting expressionswhich plays an important role in the area of knowledge representation. The algorithm employs a tableaux approach and is the first known algorithm which meets the lower bound for the complexity of the problem. Thus, we exactly fix the complexity of the problem and refute a ExpTimehardness conjecture. This establishes a kind of "theoretical benchmark" that all algorithmic approaches can be measured with.
A Resolution Decision Procedure for Fluted Logic
 In Proc. CADE17
, 2000
"... Fluted logic is a fragment of firstorder logic without function symbols in which the arguments of atomic subformulae form ordered sequences. A consequence of this restriction is that, whereas firstorder logic is only semidecidable, fluted logic is decidable. In this paper we present a sound, comp ..."
Abstract

Cited by 12 (9 self)
 Add to MetaCart
Fluted logic is a fragment of firstorder logic without function symbols in which the arguments of atomic subformulae form ordered sequences. A consequence of this restriction is that, whereas firstorder logic is only semidecidable, 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 socalled fluted clauses. We show that this class is decidable by an ordering refinement of firstorder resolution and a new form of dynamic renaming, called separation.
MSPASS: Subsumption Testing with SPASS
, 1999
"... .24> existential and universal role restriction operations: some and all, as well as domain and range, ffl additional role operators: comp (composition), sum (relative sum), conv (converse), id (identity), div (diversity) , and ffl test (test), domrestr (domain restriction) and ranrestr (range re ..."
Abstract

Cited by 12 (0 self)
 Add to MetaCart
.24> existential and universal role restriction operations: some and all, as well as domain and range, ffl additional role operators: comp (composition), sum (relative sum), conv (converse), id (identity), div (diversity) , and ffl test (test), domrestr (domain restriction) and ranrestr (range restriction). mspass supports terminological axioms in their most general form, which includes generalised inclusion and equivalence axioms, for both concepts and roles. In addition, because the firstorder symbol associated by the translation mapping to a propositional symbol can be declared, it is possible to specify ABox statements as well as any firstorder restrictions on concepts and roles. Translation mappings A number of different translatio
A Survey of Decidable FirstOrder Fragments and Description Logics
 Journal of Relational Methods in Computer Science
, 2004
"... The guarded fragment and its extensions and subfragments are often considered as a framework for investigating the properties of description logics. There are also other, some less wellknown, decidable fragments of firstorder logic which all have in common that they generalise the standard tran ..."
Abstract

Cited by 9 (2 self)
 Add to MetaCart
The guarded fragment and its extensions and subfragments are often considered as a framework for investigating the properties of description logics. There are also other, some less wellknown, decidable fragments of firstorder logic which all have in common that they generalise the standard translation of to firstorder logic. We provide a short survey of some of these fragments and motivate why they are interesting with respect to description logics, mentioning also connections to other nonclassical logics.