32094146
On Boolean Models for Quantified Boolean Horn Formulas
For a Quantified Boolean Formula \(({\it QBF })\) Φ=Qφ, an assignment is a function \(\cal M\) that maps each existentially quantified variable of Φ to a Boolean function, where φ is a propositional formula and Q is a linear ordering of quantifiers on the variables of Φ. An assignment \(\cal M\) is said to be proper, if for each existentially quantified variable y i , the associated Boolean function f i does not depend upon the universally quantified variables whose quantifiers in Q succeed the quantifier of y i . An assignment \(\cal M\) is said to be a model for Φ, if it is proper and the formula \(\phi^{\cal M}\) is a tautology, where \(\phi^{\cal M}\) is the formula obtained from φ by substituting f i for each existentially quantified variable y i . We show that any true quantified Horn formula has a Boolean model consisting of monotone monomials and constant functions only; conversely, if a QBF has such a model then it contains a clause–subformula in \({\it QHORN }\cap {\it SAT }\).
7900372
Complexity of the Unique Extension Problem in Default Logic
In this paper we analyze the problem of checking whether a default theory has a single extension. This problem is important for at least three reasons. First, if a theory has a single extension, nonmonotonic inference can be reduced to entailment in propositional logic (which is computationally easier) using the set of consequences of the generating defaults. Second, a theory with many extensions is typically weak i.e., it has few consequences; this indicates that the theory is of little use, and that new information has to be added to it, either as new formulae, or as preferences over defaults. Third, some applications require as few extensions as possible (e.g. diagnosis). We study the complexity of checking whether a default theory has a single extension. We consider the combination of several restrictions of default logics: seminormal, normal, disjunction-free, unary, ordered. Complexity varies from the first to the third level of the polynomial hierarchy. The problem of checking whether a theory has a given number of extensions is also discussed.
30011892
Complexity of argument-based default reasoning with specificity
In this paper we investigate the complexity of Dung and Son's approach to default reasoning with specificity. We show that the three decision problems: existence of extensions, brave reasoning and cautious reasoning are generally complete for the second level of the polynomial hierarchy. For some restricted cases, e.g., Horn and 2CNF default theories, all the three problems are intractable although classical brave reasoning in these cases is tractable. Finally, we show that stratification can not reduce the complexity of brave and cautious reasoning although it guarantees the existence of extensions.
1096538
Complexity Results for 2CNF Default Theories
This paper is concerned with the complexity of default reasoning with 2CNF default theories (D,W) in which W is a set of literals and D is a set of 2CNF defaults. It is proved that the problem whether a literal occurs in at least one extension can be solved in polynomial time. But the problem whether a literal appears in all extensions is proved to be co-NP-complete. The complexity of some subclasses of 2CNF default theories is also analyzed.
31571428
Polynomial time algorithms for computing a representation for minimal unsatisfiable formulas with fixed deficiency
We say a propositional formula F in conjunctive normal form is represented by a formula H and a homomorphism φ, if φ(H) = F. A homomorphism is a mapping consisting of a renaming and an identification of literals. The deficiency of a formula is the difference between the number of clauses and the number of variables. We show that for fixed k ≥ 1 and t ≥ 1 each minimal unsatisfiable formula with deficiency k can be represented by a formula H with deficiency t and a homomorphism and such a representation can be computed in polynomial time.
13301251
Fixed-parameter tractability of disjunction-free default reasoning
In this paper, the parameter which is the source of the complexity of disjunction-free default reasoning is determined. It is shown that when the value of this parameter is fixed, the disjunction-free default reasoning can be solved in time bounded by a polynomial whose degree does not depend on the parameter. Consequently, disjunction-free default reasoning is fixed parameter tractable.
2194617
Model Checking Dynamic UML Consistency
UML is widely accepted and extensively used in software modeling. However, using different diagrams to model different aspects of a system brings the risk of inconsistency among diagrams. In this paper, we investigate an approach to check the consistency between the sequence diagrams and statechart diagrams using the SPIN model checker. To deal with the hierarchy structure of statechart diagrams, we propose a formalism called Split Automata, a variant of automata, which is helpful to bridge the statechart diagrams to SPIN efficiently. Compared with the existing work on model checking UML which do not have formal verification for their translation from UML to the model checker, we formally define the semantics and prove that the automatically translated model (i.e. Split Automata) does simulate the UML model. In this way, we can guarantee that the translated model does represent the original model.
15041582
Towards the Semantics and Verification of BPEL4WS
In this paper, we discuss the semantics of BPEL4WS language which is a de facto standard for specifying and execution workflow specification for web service composition and orchestration. We propose a language @m-BPEL that includes most primitive and structured activities of BPEL4WS, and define its semantics. As the Timed Automata (TA) is powerful in designing real-time models with multiple clocks and has well developed automatic tool support, we define a map from @m-BPEL into composable TA. Therefore, the properties we want to check can be verified in TA network correspondingly. Furthermore, we prove that the mapping from @m-BPEL to TA is a simulation, which means that the TA network simulates correctly the corresponding @m-BPEL specification. The case study with model checker Uppaal shows that our method is effective, and a Java supporting tool based on Uppaal model checker engine has been developed.
15922787
Supporting Mobility in MosquitoNet
The goal of the MosquitoNet project is to provide continuous Internet connectivity to mobile hosts. Mobile hosts must be able to take advantage of the best network connectivity available in any location, whether wired or wireless. We have implemented a mobile IP system that supports seamless switching between different networks and communication devices. In contrast to previous approaches to mobile IP, we believe mobile hosts should not assume any explicit mobility support from the networks they visit, aside from basic Internet connectivity. This decision places extra responsibilities on the mobile hosts themselves. In this paper, we describe the design and implications of such a system. Measurements of our implementation show that the inherent overhead to switch networks (below 10ms) is insignificant compared to the time required to bring up a new communication device.
12052255
Flexible network support for mobility
Fueled by the large number of powerful tight-weight portable computers, the expanding availability of wirel= networks, and the popularity of the Internet, there is an increasing de mand to connect portable computers to the Internet at any time and in any place. However, the dynamic nature of such connectivity requires more flexible network support than has typically been atiable for stationary workstations. ThM paper introducw the following two me~anisms, in the context of Mobile 1P [24], to ensure a mobile host’s convenient and efficient communication with other hosts in a &anging environment. One me&anism supports multiple packet defivery methods (such as regular 1P or Mobile 1P) and adaptively selects the most appropriate one to use Wcordlng to the char=teristim of eti trfic flow. The other medanism enables a mobile host to make use of multiple wtive network interfww simultaneously and to control the selection of the most dwirable network interfaces for both outgoing and incoming pdets for different traffic flows. We demonstrate the usefdnm of these two network layer me&anisms and describe how they are implemented.
15937739
Semantics of BPEL4WS-Like Fault and Compensation Handling
BPEL4WS is one of the most important business process modelling languages. One distinct feature of it is the fully programmable fault and compensation handling mechanism, which allows the user to specify the compensation behaviors of processes in application-specific manners. In this paper, we present a formal operational semantics to a simplified version of BPEL4WS, with some important concepts related to fault and compensation handling proposed and discussed, especially, the compensation closure and the compensation context. We also discuss some insights into the BPEL4WS language and its implementation obtained from this study.