- 1 - Pascale LeGall
(slides)

Biological Regulatory Networks modeled as an institution: property preservation along embedding

[Joint work with Mbarka MABROUKI and Marc AIGUIER]

Abstract:

In the course of understanding the functioning of cellular processes, or more specifically of biological regulatory networks, scientists usually focused on subparts of the global system. Then modeling frameworks for biological regulatory networks are mandatory in order to reason on the models and their properties. Various model-checking technics have already been successfully used to reason on discrete models of biological regulatory networks where studied biological properties are expressed by temporal formulas. In this talk, we take benefit of these logical approaches to study the properties preservation. Signature of considered networks, constituted by a graph, is one of the distinctive features on which embeddings can be defined, leading us to give a first condition on the subgraphs which allows us to preserve properties of the embedded graphs. We thus give a first proposition for defining biological regulatory networks as an institution.

------------------------------------------------------ - 2 - Fernando Orejas,
Dpto de L.S.I., Univ. Polit. Catalunya,
Barcelona, Spain
(slides)

A logic of graph constraints.

[Joint work with Hartmut Ehrig and Ulrike Prange, Tech. Univ. Berlin, Germany]

Abstract:

Graph constraints were introduced in the area of graph transformation, in connection with the notion of (negative) application conditions, as a form to limit the applicability of transformation rules. However, we believe that graph constraints may also play a significant role in the area of visual software modelling or in the specification and verification of semi-structured documents or websites (i.e. HTML or XML sets of documents). In this sense, after some discussion on these application areas, we concentrate on the problem of how to prove the consistency of specifications based on this kind of constraints. In particular, we present proof rules for three classes of (increasingly more powerful) graph constraints and show that our proof rules are sound and (refutationally) complete for each class.
======================================================================
- 3 - José Meseguer: The temporal logic of rewriting.
- 4 - Dusko Pavlovic
slides

Specifying authentication protocols for pervasive and social computation.

Abstract:

In this talk I described a new security landscape, arising from the new pervasive technologies, such as Near Field Communication, which place computational system components in physical space. Of particular interest are the methods of authentication without any previous security infrastructure, based on the physical properties of timed channels, or on authenticated, low bandwidth social channels. While such channels recently attracted a lot of attention in several research communities, their properties and applications were analyzed informally, since neither the usual symbolic models of secure systems, nor the computational crypto models, support the needed refinement mechanisms. I demonstrated incremental derivations, supported by Protocol Derivation Assistant, of a family of distance-bounding protocols, using timed channels, and of basic social authentication protocols, using social channels.

------------------------------------------------------ - 5 - Markus Roggenbach, Swansea (Wales)
slides, and
paper

Towards testing from CSP-CASL.

[Joint work with B-H Schlingloff, Berlin & T Kahsai, Swansea]

Abstract:

In this talk, we present a theory for the evaluation of test cases with respect to formal specifications. In particular, we use the specification language CSP-CASL to define and evaluate black-box tests for reactive systems. Using loose semantics and three-valued test oracles, our approach is well-suited to deal with the refinement of specifications. In a structured development process of computational systems, abstract specifications are gradually refined into more concrete ones. With our approach, it is possible to develop test cases already from very abstract and basic specifications, and to reuse them later on in more refined systems.

------------------------------------------------------ - 6 - Marius Petria
slides

Free theorems for refinement.

Abstract:

In this paper we apply insights drawn from the use of parametricity in second order lambda calculus, to facilitate proofs of refinements via stable constructors between behavioral algebraic specifications.Our final goal is to identify a setting to express "theorems for free" in the style of Wadler for behavioral refinements.
======================================================================
- 7 - Peter Padawitz
slides

Algebraic compilers and their implementation in Haskell

Abstract:

The construction of compilers with the help of algebra may now celebrate its 40th anniversary. Big projects have followed the basic ideas developed in the seventies of the last century. They are bound to languages tailored to the view that compilation is rewrite-rule-driven program transformation. This is, of course, an adequate way of implementing compilers algebraically. Nevertheless, a modern functional language like Haskell offers constructs (polymorphism, data types, monads,...) that are at least equally well-suited for writing algebraic compilers. In particular, the class of all target languages (Sigma-algebras) of a given source language (Sigma) can be implemented in Haskell as a single data type with fields. This allows us to fully exploit the fact that (abstract) syntax is initial semantics and thus a compiler is completely determined by the extension of its target language to a Sigma-algebra. We present the main definitions and illustrate the Haskell coding of generic interpreters and compilers and their instantiation by algebras at a small Java fragment.

------------------------------------------------------ - 8 - Bart Jacobs

Coalgebraic trace semantics for combined possibilitistic and probabilistic systems

Abstract:

Non-deterministic (also known as possibilistic) and probabilistic state based systems (or automata) have been studied for quite some time. Separately, they are reasonably well-understood. The combination however is difficult, both for conceptual and technical reasons. Here we study the combination from a coalgebraic perspective and identify a monad CM that captures the combination---following work of Varacca. We use this monad to apply the coalgebraic framework for (finite) trace semantics in this setting. It yields a smooth, but not entirely trivial, description of traces.

------------------------------------------------------ - 9 - Leila Ribeiro: Revisiting linerar-ordered graph grammars.
- 10 - Mohamed Bettaz, MESRS Algeria
(slides)

An Object-Z/CSP based approach for the specification of architectural connectors.

[Joint work with Mourad Maouche, Philadelphia University, Jordan]

Abstract:

Our objective in this work is to propose a semantically safe "combination" of Object-Z and CSP for specifying architectural connectors. The approach, which considers connectors as first-class entities, intends to support incremental development of specifications, as well as verification of properties. We start from the very informal definition that software architecture is a collection of computational components together with a collection of connectors, and follow the formal framework set by [1]. In this framework a connector specification relies on the explicit definition of the notions component, port, role, glue, connector, and attachment.

In the suggested approach, roles, ports and glue, which as considered as components, are specified (in the same way as computational components) by Object-Z classes. The internal behavior of these components is governed by preconditions on adequate state variables. The behavior of the connector is specified by a parallel composition of the roles and their glue. The attachment of ports (which are refinements of roles) as roles is specified by a CSP process parameterized by Object-Z classes.

The fact that both languages have common semantic basis [4, 5, 6, 7, and 8], enables using and / or developing a unified method of refinement for the integrated notation.

Among the similar work we might cite: [1, 2, and 9]. In [1] all aspects of architectural connectors are specified in a CSP-like notation. [2], which abstracts of the notion of glue, defines ports and roles as basic types. In [9], connectors are categorical entities, ports are not defined explicitly, and components are seen as refinement of roles.

References

1. R. Allen and D. Garlan, A Formal Basis for Architectural Connection, 1998

2. G. Abowd, R. Allen and Garlan, Formalizing style to understand descriptions of software architectures, 1994

3. M. Shaw and D. Galan, Formulations and Formalisms in Software Architecture, 1996

4. G. Smith and J. Derrick, specification, refinement and verification of concurrent systems Ð an integration of Object-Z and CSP, 2001

5. G. Smith and J. Derrick, Refinement and Verification of Concurrent systems specified in Object-Z and CSP, 1997

6. G. Smith and J. Derrick, Abstract Specification in Object-Z and CSP, 2002

7. J. Derrick and G. Smith, Structural Refinement in Object-Z / CSP, 2000

8. G. Smith, A Semantic Integration of Object-Z and CSP for the Specification of Concurrent Systems, 1998

9. J.L. Fiadeiro, A. Lopes and M. Wermelinger, A Mathematical Semantics for Architectural Connectors, 2002

10. T. McComb and G. Smith, Architectural Design in Object-Z, 2004

11. T. Bures, Generating Connectors for Homogeneous and Heterogeneous Deployment, 2006
======================================================================
- 11 - Andrea Corradini
slides

Subobject transformation system and elementary net systems.

[Joint work with Frank Hermann and Pawel Sobocinski]

Abstract:

Subobject Transformation Systems (STS) are proposed as a novel formal framework for the analysis of derivations of transformation systems based on the algebraic, double-pushout approach. They can be considered as a simplified variant of DPO rewriting, acting in the distributive lattice of subobjects of a given object of an adhesive category.

Interestingly, it turns out that STSs in the category of sets with rules having empty interfaces correspond precisely to Elementary Net System, a class of Petri nets widely studied in the literature.

The formal setting of STSs allows a direct analysis of all possible notions of dependency between any two productions without requiring an explicit match. In particular, several equivalent characterizations of independence of productions are proposed, as well as a local Church-Rosser theorem in the setting of STS. Also, we show how any derivation tree in an ordinary DPO grammar leads to an STS via a suitable construction, and we argue that relational reasoning in the resulting STS is sound and complete with respect to the independence in the original derivation tree.

From a methodological perspective, the relationship with ENSs could provide challenging intuitions that could be generalized, at least in part, to the more abstract setting of transformation systems over adhesive categories.

------------------------------------------------------ - 12 - Fabio Gadducci
slides and
paper

A behavioural semantics for Petri nets (with an application to web services development).

[Joint work with Filippo Bonchi, Antonio Brogi and Sara Cortfini].

Abstract:

Web services are emerging as a promising technology for the development of distributed heterogeneous software systems. In this talk we first introduce a simple variant of standard condition/event (C/E) Petri nets to naturally model the behaviour of Web services, and in particular the persistency of data. Next step is the identification of a suitable behavioural equivalence for our class of nets. Such an equivalence is based on bisimilarity and inspired by recent advances in the theory of reactive systems, more specifically, from the relative pushouts methodology devised by Leifer and Milner. Hence, by exploiting the firing relation we distill a set of labels, in order to build a labelled reduction relation, such that the associated behavioural notion of bisimilarity is a compositional equivalence. We round up the talk by pointing out the main features of our proposal, namely, weakness and decidability.

------------------------------------------------------ - 13 - Christian Kissig
slides

Logics for traces.

[Joint work with Alexander Kurzi]

Abstract:

------------------------------------------------------ - 14 - Stefania Gnesi
slides

A logical approach to specify service-oriented application

[Joint work with Alessandro Fantechi, Alessandro Lapadula, Franco Mazzanti, Rosario Pugliese and Francesco Tiezzi]

Abstract:

We introduce a logical verification framework for checking functional properties of service-oriented applications formally specified using the service specification language COWS. The properties are described by means of Socl, a logic specifically designed to capture peculiar aspects of services. Service behaviours are abstracted in terms of Doubly Labelled Transition Systems, which are used as the interpretation domain for Socl formulae. We also illustrate the Socl model checker at work on a bank service scenario specified in COWS

------------------------------------------------------ - 15 - Barbara Koenig
slides

Graph minors and the analysis of graph transformation systems.

[Joint work with Salil Joshi, IIT Delhi]

Abstract:

We show how to view certain subclasses of (single-pushout) graph transformation systems as well-structured transition systems, which leads to decidability of the covering problem via a backward analysis. As the well-quasi order required for a well-structured transition system we use the graph minor ordering. We give an explicit construction of the backward step and apply our theory in order to verify a termination detection protocol.

------------------------------------------------------ - 16 - Lutz Schroeder
slides

Coalgebraic modal logic beyond rank 1.

[Joint work with Dirk Pattinson]

Abstract:

The semantics of modal logics applied in various areas of computer science such as knowledge representation, decision making, or multi-agent systems often deviates rather substantially from traditional Kripke semantics. Coalgebraic modal logic has emerged as a suitable generic semantic framework covering in particular also such non-normal modal logics. Somewhat surprisingly, this framework supports also a generic theory of (automated) modal reasoning; however, results in this area have so far been limited to logics whose axioms do not nest modal operators. Here, we present work aimed at overcoming this limitation, i.e. we establish a generic method to obtain completeness, decidability, and upper complexity bounds for logics defined by frame conditions with nested modalities. Our method applies to classical examples such as $K4$ and to certain conditional logics; as an extended example, we moreover prove completeness and decidability of a description logic with qualified number restrictions for descendancy relations in tree-like structures.
======================================================================
- 17 - Dominique Duval
slides

A double-pushout approach for modeling pointer redirection

[Joint work with Rachid Echahed, Frédéric Prost]

Abstract:

The aim of this talk is to present a framework for data-structure rewriting, including cyclic data-structures with pointers such as circular lists, doubly-linked lists, etc. Our framework follows the categorical approach of the DPO (double pushout) method, but with non-classical assumptions on rules and matchings. It allows local pointer redirection, for redirecting some specific pointers, and global pointer redirection, for redirecting all pointers with some specific target to another target.

== Tuesday, January 15th, 2008

== Wednesday, January 16th, 2008

== Thursday, January 17th, 2008

== Friday, January 18th, 2008