We define a translation from Weighted CSP to signed Max-SAT, and a complete resolution-style calculus for solving signed Max-SAT. Based on these results, we then describe an original exact algorithm for solving Weighted CSP. Finally, we define several derived rules and prove that they enforce the main soft arc consistency defined in the literature when applied to Weighted CSP instances.

Polymorphism is one of the main pillars of objectoriented paradigm. It induces hidden forms of class dependencies which may impact software quality, resulting in higher cost factor for comprehending, debugging, testing, and maintaining the software. In this paper, a new cognitive complexity metric called Cognitive Weighted Polymorphism Factor (CWPF) is proposed. Apart from the software structur...

Weighted automata are used to describe quantitative properties in various areas such as probabilistic systems, image compression, speech-to-text processing. The behaviour of such an automaton is a mapping, called a formal power series, assigning to each word a weight in some semiring. We generalize Büchi’s and Elgot’s fundamental theorems to this quantitative setting. We introduce a weighted ve...

Achieving good performance in wireless mesh network (WMN), implementation of routing metrics is very important. Multiple channels among the multiple radio improve the capacity of the network. Interference based routing metric such as Weighted Cumulative Expected Transmission Time (WCETT), Weighted Cumulative Consecutive Expected Transmission Time (WCCETT), are being proposed in multi-channel mu...

In this paper, we consider the robust interpretation of Metric Temporal Logic (MTL) formulas over signals that take values in metric spaces. For such signals, which are generated by systems whose states are equipped with non-trivial metrics, for example continuous or hybrid, robustness is not only natural, but also a critical measure of system performance. Thus, we propose multi-valued semantic...

In this short note, we study the properties of the weighted Frechet mean as a convex combination operator on an arbitrary metric space (Y, d). We show that this binary operator is commutative, non-associative, idempotent, invariant to multiplication by a constant weight and possesses an identity element. We also cover the properties of the weighted cumulative Frechet mean. These tools allow us ...

In this paper, we consider the robust interpretation of Metric Temporal Logic (MTL)formulas over signals that take values in metric spaces. For such signals, whichare generated by systems whose states are equipped with nontrivial metrics, forexample continuous or hybrid, robustness is not only natural, but also a criticalmeasure of system performance. Thus, we propose multi-valu...