Discrete-time machines in closed monoidal categories. I

This paper develops a minimal realization theory for discrete-time machines with structure in a suitable closed monoidal category. By specifying the category a number of applications arise, most of them new. Minimal realization is stated as an adjunction between an input-output behavior functor and a realization functor. The very existence of an adjunction yields several new structural results on minimal realization. As preliminaries, certain aspects of categorical algebra are reviewed, and a theory of discrete-time transition systems is developed. The concept of an X-module and an initial object theorem are especially important. A number of examples of suitable categories is given, but discussion of the resulting machine theories is deferred to a subsequent paper

Abstract Constraint Data Types

Martin Wirsing is one of the earliest contributors to the area of Algebraic Specification (e.g., [2]), which he explored in a variety of domains over many years. Throughout his career, he has also inspired countless researchers in related areas. This paper is inspired by one of the domains that he explored thirty years or so after his first contributions when leading the FET Integrated Project SENSORIA [14]: the use of constraint systems to deal with non-functional requirements and preferences [13,8]. Following in his footsteps, we provide an extension of the traditional notion of algebraic data type specification to encompass soft-constraints as formalised in [1]. Finally, we relate this extension with institutions [6] and recent work on graded consequence in institutions [3].Peer ReviewedPostprint (author’s final draft

An Institutional Framework for Heterogeneous Formal Development in UML

We present a framework for formal software development with UML. In contrast to previous approaches that equip UML with a formal semantics, we follow an institution based heterogeneous approach. This can express suitable formal semantics of the different UML diagram types directly, without the need to map everything to one specific formalism (let it be first-order logic or graph grammars). We show how different aspects of the formal development process can be coherently formalised, ranging from requirements over design and Hoare-style conditions on code to the implementation itself. The framework can be used to verify consistency of different UML diagrams both horizontally (e.g., consistency among various requirements) as well as vertically (e.g., correctness of design or implementation w.r.t. the requirements)

Compositional closure for Bayes Risk in probabilistic noninterference

We give a sequential model for noninterference security including probability (but not demonic choice), thus supporting reasoning about the likelihood that high-security values might be revealed by observations of low-security activity. Our novel methodological contribution is the definition of a refinement order and its use to compare security measures between specifications and (their supposed) implementations. This contrasts with the more common practice of evaluating the security of individual programs in isolation. The appropriateness of our model and order is supported by our showing that our refinement order is the greatest compositional relation --the compositional closure-- with respect to our semantics and an "elementary" order based on Bayes Risk --- a security measure already in widespread use. We also relate refinement to other measures such as Shannon Entropy. By applying the approach to a non-trivial example, the anonymous-majority Three-Judges protocol, we demonstrate by example that correctness arguments can be simplified by the sort of layered developments --through levels of increasing detail-- that are allowed and encouraged by compositional semantics

Hybridisation at work

This paper presents the encoding of the hybridisation method into the HETS platform.FC

Some geometrical methods for constructing contradiction measures on Atanassov's intuitionistic fuzzy sets

Trillas et al. (1999, Soft computing, 3 (4), 197–199) and Trillas and Cubillo (1999, On non-contradictory input/output couples in Zadeh's CRI proceeding, 28–32) introduced the study of contradiction in the framework of fuzzy logic because of the significance of avoiding contradictory outputs in inference processes. Later, the study of contradiction in the framework of Atanassov's intuitionistic fuzzy sets (A-IFSs) was initiated by Cubillo and Castiñeira (2004, Contradiction in intuitionistic fuzzy sets proceeding, 2180–2186). The axiomatic definition of contradiction measure was stated in Castiñeira and Cubillo (2009, International journal of intelligent systems, 24, 863–888). Likewise, the concept of continuity of these measures was formalized through several axioms. To be precise, they defined continuity when the sets ‘are increasing’, denominated continuity from below, and continuity when the sets ‘are decreasing’, or continuity from above. The aim of this paper is to provide some geometrical construction methods for obtaining contradiction measures in the framework of A-IFSs and to study what continuity properties these measures satisfy. Furthermore, we show the geometrical interpretations motivating the measures

Actors, actions, and initiative in normative system specification

The logic of norms, called deontic logic, has been used to specify normative constraints for information systems. For example, one can specify in deontic logic the constraints that a book borrowed from a library should be returned within three weeks, and that if it is not returned, the library should send a reminder. Thus, the notion of obligation to perform an action arises naturally in system specification. Intuitively, deontic logic presupposes the concept of anactor who undertakes actions and is responsible for fulfilling obligations. However, the concept of an actor has not been formalized until now in deontic logic. We present a formalization in dynamic logic, which allows us to express the actor who initiates actions or choices. This is then combined with a formalization, presented earlier, of deontic logic in dynamic logic, which allows us to specify obligations, permissions, and prohibitions to perform an action. The addition of actors allows us to expresswho has the responsibility to perform an action. In addition to the application of the concept of an actor in deontic logic, we discuss two other applications of actors. First, we show how to generalize an approach taken up by De Nicola and Hennessy, who eliminate from CCS in favor of internal and external choice. We show that our generalization allows a more accurate specification of system behavior than is possible without it. Second, we show that actors can be used to resolve a long-standing paradox of deontic logic, called the paradox of free-choice permission. Towards the end of the paper, we discuss whether the concept of an actor can be combined with that of an object to formalize the concept of active objects

Rational Choice Versus Republican Moment- Explanations for Environmental Laws, 1969-73

Securing communication in large scale distributed systems is an open problem. When multiple principals exchange sensitive information over a network, security and privacy issues arise immediately. For instance, in an online auction system we may want to ensure that no bidder knows the bids of any other bidder before the auction is closed. Such systems are typically interactive/reactive and communication is mostly asynchronous, lossy or unordered. Language-based security provides language mechanisms for enforcing end-to-end security. However, with few exceptions, previous research has mainly focused on relational or synchronous models, which are generally not suitable for distributed systems. This paper proposes a general knowledge-based account of possibilistic security from a language perspective and shows how existing trace-based conditions fit in. A syntactic characterization of these conditions, given by an epistemic temporal logic, shows that existing model checking tools can be used to enforce security.QC 20131219</p