In many tasks related to reasoning about consequences of a logical theory, it is desirable to decompose the theory into a number of components with weakly-related or independent signatures. This facilitates reasoning when the signature of a query formula belongs to only one of the components. However, an initial theory may be subject to change due to execution of actions affecting features ment...

In this paper we consider updates that are specified as rules and consider simple knowledge bases consisting of ground atoms. We present a translation of the rule based update specifications to extended logic programs using situation calculus notation so as to compute the updated knowledge base. We show that the updated knowledge base that we compute satisfies the update specifications and yet ...

Location estimation is a fundamental sensing task in robotic applications, where the world is uncertain, and sensors and effectors are noisy. Most systems make various assumptions about the dependencies between state variables, and especially about how these dependencies change as a result of actions. Building on a general framework by Bacchus, Halpern and Levesque for reasoning about degrees o...

The situation calculus (SC) is a formalism for reasoning about action. Within SC, the notion of state of a given situation is usually characterized by the set of uents that hold in that situation. However, this concept is insuucient for system speciication. To overcome this limitation, an extension of SC is proposed, the situation and state calculus (SSC), where the concept of state is primitiv...

This paper is considering the competition between two multi-echelon supply-chains on price and service under balance and imbalance of market power between the chains which are analyzing through Nash and Stackelberg game approach. The problem is categorized as the centralized or decentralized structure of each chain, which means a few different possible scenarios are developing based on the Nash...