My publications are also listed on my DBLP and Google Scholar profiles.

W5

Andersen, J.L., Hellmuth, M., Merkle, D., Nøjgaard, N. and Peressotti, M. 2020. A Graph-Based Tool to Embed the π-Calculus into a Computational DPO Framework. *Proceedings of the SOFSEM 2020 Student Research Forum co-located with the 46th International Conference on Current Trends in Theory and Practice of Computer Science (SOFSEM 2020)* (2020), 97–107.

Graph transformation approaches have been successfully used to analyse and design chemical and biological systems. Here we build on top of a DPO framework, in which molecules are modelled as typed attributed graphs and chemical reactions are modelled as graph transformations. Edges and vertexes can be labelled with first-order terms, which can be used to encode, e.g., steric information of molecules. While targeted to chemical settings, the computational framework is intended to be very generic and applicable to the exploration of arbitrary spaces derived via iterative application of rewrite rules, such as process calculi like Milner’s π-calculus. To illustrate the generality of the framework, we introduce EpiM: a tool for computing execution spaces of π-calculus processes. EpiM encodes π-calculus processes as typed attributed graphs and then exploits the existing DPO framework to compute their dynamics in the form of graphs where nodes are π-calculus processes and edges are reduction steps. EpiM takes advantage of the graph-based representation and facilities offered by the framework, like efficient isomorphism checking to prune the space without resorting to explicit structural equivalences. EpiM is available as an online Python-based tool.

C9

Miculan, M. and Peressotti, M. 2020. Towards a Formal Model for Composable Container Systems. *Proceedings of the 35rd Annual ACM Symposium on Applied Computing, SAC 2020, Brno, Czech Republic, March 29-April 03, 2020* (2020).

In modern cloud-based architectures, containers play a central role: they provide powerful isolation mechanisms such that developers can focus on the logic and dependencies of applications while system administrators can focus on deployment and management issue. In this work, we propose a formal model for container-based systems, using the framework of Bigraphical Reactive Systems (BRSs). We first introduce *local directed bigraphs*, a graph-based formalism which allows us to deal with localized resources. Then, we define a signature for modelling containers and provide some examples of bigraphs modelling containers. These graphs can be analysed and manipulated using techniques from graph theory: properties about containers can be formalized as properties of the corresponding bigraphic representations. Moreover, it turns out that the composition of containers as performed by e.g. docker-compose, corresponds precisely to the composition of the corresponding bigraphs inside an “environment bigraph” which in turn is obtained directly from the YAML file used to define the composition of containers.

J6

Brengos, T. and Peressotti, M. 2019. Behavioural equivalences for timed systems. *Logical Methods in Computer Science*. 15, 1 (2019). DOI:10.23638/LMCS-15(1:17)2019.

Timed transition systems are behavioural models that include an explicit treatment of time flow and are used to formalise the semantics of several foundational process calculi and automata. Despite their relevance, a general mathematical characterisation of timed transition systems and their behavioural theory is still missing. We introduce the first uniform framework for timed behavioural models that encompasses known behavioural equivalences such as timed bisimulations, timed language equivalences as well as their weak and time-abstract counterparts. All these notions of equivalences are naturally organised by their discriminating power in a spectrum. We prove that this result does not depend on the type of the systems under scrutiny: it holds for any generalisation of timed transition system. We instantiate our framework to timed transition systems and their quantitative extensions such as timed probabilistic systems.

J5

Kokke, W., Montesi, F. and Peressotti, M. 2019. Better late than never: a fully-abstract semantics for classical processes. *PACMPL*. 3, POPL (2019), 24:1–24:29. DOI:10.1145/3290337.

We present Hypersequent Classical Processes (HCP), a revised interpretation of the “Proofs as Processes” correspondence between linear logic and the π-calculus initially proposed by Abramsky [1994], and later developed by Bellin and Scott [1994], Caires and Pfenning [2010], and Wadler [2014], among others. HCP mends the discrepancies between linear logic and the syntax and observable semantics of parallel composition in the π-calculus, by conservatively extending linear logic to hyperenvironments (collections of environments, inspired by the hypersequents by Avron [1991]). Separation of environments in hyperenvironments is internalised by ⊗ and corresponds to parallel process behaviour. Thanks to this property, for the first time we are able to extract a labelled transition system (lts) semantics from proof rewritings. Leveraging the information on parallelism at the level of types, we obtain a logical reconstruction of the delayed actions that Merro and Sangiorgi [2004] formulated to model non-blocking I/O in the π-calculus. We define a denotational semantics for processes based on Brzozowski derivatives, and uncover that non-interference in HCP corresponds to Fubini’s theorem of double antiderivation. Having an lts allows us to validate HCP using the standard toolbox of behavioural theory. We instantiate bisimilarity and barbed congruence for HCP, and obtain a full abstraction result: bisimilarity, denotational equivalence, and barbed congruence coincide.

C8

Gabbrielli, M., Giallorenzo, S., Lanese, I., Montesi, F., Peressotti, M. and Zingaro, S.P. 2019. No More, No Less - A Formal Model for Serverless Computing. *Coordination Models and Languages - 21st IFIP WG 6.1 International Conference, COORDINATION 2019, Held as Part of the 14th International Federated Conference on Distributed Computing Techniques, DisCoTec 2019, Kongens Lyngby, Denmark, June 17-21, 2019, Proceedings* (2019), 148–157.

Serverless computing, also known as Functions-as-a-Service, is a recent paradigm aimed at simplifying the programming of cloud applications. The idea is that developers design applications in terms of functions, which are then deployed on a cloud infrastructure. The infrastructure takes care of executing the functions whenever requested by remote clients, dealing automatically with distribution and scaling with respect to inbound traffic. While vendors already support a variety of programming languages for serverless computing (e.g. Go, Java, Javascript, Python), as far as we know there is no reference model yet to formally reason on this paradigm. In this paper, we propose the first core formal programming model for serverless computing, which combines ideas from both the λ-calculus (for functions) and the π-calculus (for communication). To illustrate our proposal, we model a real-world serverless system. Thanks to our model, we capture limitations of current vendors and formalise possible amendments.

I7

Brengos, T. and Peressotti, M. 2019. Two modes of recognition: algebra, coalgebra, and languages. *CoRR*. abs/1906.05573, (2019).

The aim of the paper is to build a connection between two approaches towards categorical language theory: the coalgebraic and algebraic language theory for monads. For a pair of monads modelling the branching and the linear type we defined regular maps that generalize regular languages known in classical non-deterministic automata theory. These maps are behaviours of certain automata (i.e. they possess a coalgebraic nature), yet they arise from Eilenberg-Moore algebras and their homomorphisms (by exploiting duality between the category of Eilenberg-Moore algebras and saturated coalgebras).
Given some additional assumptions, we show that regular maps form a certain subcategory of the Kleisli category for the monad which is the composition of the branching and linear type. Moreover, we state a Kleene-like theorem characterising the regular morphisms category in terms of the smallest subcategory closed under certain operations. Additionally, whenever the branching type monad is taken to be the powerset monad, we show that regular maps are described as maps recognized by certain functors whose codomains are categories with all finite hom-sets.
We instantiate our framework on classical non-deterministic automata, tree automata, fuzzy automata and weighted automata.

I6

Montesi, F. and Peressotti, M. 2018. Classical Transitions. *CoRR*. abs/1803.01049, (2018).

We introduce the calculus of Classical Transitions (CT), which extends the research line on the relationship between linear logic and processes to labelled transitions. The key twist from previous work is registering parallelism in typing judgements, by generalising linear logic judgements from one sequents to many (hypersequents). This allows us to bridge the gap between the structures of operators used as proof terms in previous work and those of the standard π-calculus (in particular parallel operator and restriction). The proof theory of CT allows for new proof transformations, which we show correspond to a labelled transition system (LTS) for processes. We prove that CT enjoys subject reduction and progress.

C7

Cruz-Filipe Luı́s, Montesi, F. and Peressotti, M. 2018. Communications in choreographies, revisited. *Proceedings of the 33rd Annual ACM Symposium on Applied Computing, SAC 2018, Pau, France, April 09-13, 2018* (2018), 1248–1255.

Choreographic Programming is a paradigm for developing correct-by-construction concurrent programs, by writing high-level descriptions of the desired communications and then synthesising process implementations automatically. So far, choreographic programming has been explored in the *monadic* setting: interaction terms express point-to-point communications of a single value. However, real-world systems often rely on interactions of *polyadic* nature, where multiple values are communicated among two or more parties, like multicast, scatter-gather, and atomic exchanges.

We introduce a new model for choreographic programming equipped with a primitive for grouped interactions that subsumes all the above scenarios. Intuitively, grouped interactions can be thought of as being carried out as one single interaction. In practice, they are implemented by processes that carry them out in a concurrent fashion. After formalising the intuitive semantics of grouped interactions, we prove that choreographic programs and their implementations are correct and deadlock-free by construction.

We introduce a new model for choreographic programming equipped with a primitive for grouped interactions that subsumes all the above scenarios. Intuitively, grouped interactions can be thought of as being carried out as one single interaction. In practice, they are implemented by processes that carry them out in a concurrent fashion. After formalising the intuitive semantics of grouped interactions, we prove that choreographic programs and their implementations are correct and deadlock-free by construction.

W4

Kokke, W., Montesi, F. and Peressotti, M. 2018. Taking Linear Logic Apart. *Proceedings Joint International Workshop on Linearity & Trends in Linear Logic and Applications, [email protected] 2018, Oxford, UK, 7-8 July 2018.* (2018), 90–103.

Process calculi based on logic, such as πDILL and CP, provide a foundation for deadlock-free concurrent programming. However, in previous work, there is a mismatch between the rules for constructing proofs and the term constructors of the π-calculus: the fundamental operator for parallel composition does not correspond to any rule of linear logic. Kokke et al. (2019) introduced Hypersequent Classical Processes (HCP), which addresses this mismatch using hypersequents (collections of sequents) to register parallelism in the typing judgements. However, the step from CP to HCP is a big one. As of yet, HCP does not have reduction semantics, and the addition of delayed actions means that CP processes interpreted as HCP processes do not behave as they would in CP. We introduce HCP-, a variant of HCP with reduction semantics and without delayed actions. We prove progress, preservation, and termination, and show that HCP- supports the same communication protocols as CP.

I5

Montesi, F. and Peressotti, M. 2017. Choreographies meet Communication Failures. *CoRR*. abs/1712.05465, (2017).

Choreographies are global descriptions of communication structures, inspired by the "Alice and Bob" notation of security protocols. They have been successfully employed in the design and implementation of distributed systems. However, there is still limited evidence of the applicability of choreographies in the real-world setting of distributed programming, where communication actions may fail. In this work, we propose the first choreography model that allows for communication failures and the programming of user-defined code to deal with such failures. We validate our model by implementing common strategies for handling communication failures in a robust way, which in turn can be used as a library by choreographies that assume reliable communication. We equip our model with a typing discipline that can statically verify reliability properties, in particular at-most-once and exactly-once delivery. We demonstrate the applicability of our model by defining a semantics-preserving compilation procedure towards a process calculus equipped with unreliable I/O actions.

C6

Miculan, M. and Peressotti, M. 2017. Deciding weak weighted bisimulation. *Joint Proceedings of the 18th Italian Conference on Theoretical Computer Science and the 32nd Italian Conference on Computational Logic co-located with the 2017 IEEE International Workshop on Measurements and Networking (2017 IEEE M&N), Naples, Italy, September 26-28, 2017.* (2017), 126–137.

Weighted labelled transition systems are LTSs whose transitions are given weights drawn from a commutative monoid, subsuming a wide range of systems with quantitative aspects. In this paper we extend this theory towards other behavioural equivalences, by considering semirings of weights. Taking advantage of this extra structure, we consider a general notion of weak weighted bisimulation, which coincides with the usual weak bisimulations in the cases of non-deterministic and fully-probabilistic systems. We present a general algorithm for deciding weak weighted bisimulation. The procedure relies on certain systems of linear equations over the semiring of weights hence it can be readily instantiated to a wide range of models. We prove that these systems admit a unique solution for ω-continuous semirings

W3

Mansutti, A., Miculan, M. and Peressotti, M. 2017. Loose Graph Simulations. *Software Technologies: Applications and Foundations - STAF 2017
Collocated Workshops, Marburg, Germany, July 17-21, 2017, Revised
Selected Papers* (2017), 109–126.

We introduce loose graph simulations (LGS), a new notion about labelled graphs which subsumes in an intuitive and natural way subgraph isomorphism (SGI), regular language pattern matching (RLPM) and graph simulation (GS). Being a unification of all these notions, LGS allows us to express directly also problems which are m̈ixed\"instances of previous ones, and hence which would not fit easily in any of them. After the definition and some examples, we show that the problem of finding loose graph simulations is NP-complete, we provide formal translation of SGI, RLPM, and GS into LGSs, and we give the representation of a problem which extends both SGI and RLPM. Finally, we identify a subclass of the LGS problem that is polynomial.

I4

Miculan, M. and Peressotti, M. 2016. A Specification of Open Transactional Memory for Haskell. *CoRR*. abs/1602.05365, (2016).

Transactional memory (TM) has emerged as a promising abstraction for concurrent programming alternative to lock-based synchronizations. However, most TM models admit only isolated transactions, which are not adequate in multi-threaded programming where transactions have to interact via shared data before committing. In this paper, we present Open Transactional Memory (OTM), a programming abstraction supporting safe, data-driven interactions between composable memory transactions. This is achieved by relaxing isolation between transactions, still ensuring atomicity: threads of different transactions can interact by accessing shared variables, but then their transactions have to commit together-actually, these transactions are transparently merged. This model allows for loosely-coupled interactions since transaction merging is driven only by accesses to shared data, with no need to specify participants beforehand. In this paper we provide a specification of the OTM in the setting of Concurrent Haskell, showing that it is a conservative extension of current STM abstraction. In particular, we provide a formal semantics, which allows us to prove that OTM satisfies the \emphopacity criterion.

C5

Brengos, T. and Peressotti, M. 2016. A Uniform Framework for Timed Automata. *27th International Conference on Concurrency Theory, CONCUR 2016, August 23-26, 2016, Québec City, Canada* (2016), 26:1–26:15.

Timed automata, and machines alike, currently lack a general mathematical characterisation. In this paper we provide a uniform coalgebraic understanding of these devices. This framework encompasses known behavioural equivalences for timed automata and paves the way for the extension of these notions to new timed behaviours and for the instantiation of established results from the coalgebraic theory as well. Key to this work is the use of lax functors for they allow us to model time flow as a context property and hence offer a general and expressive setting where to study timed systems: the index category encodes ḧow step sequences form executions\" (e.g. whether steps duration get accumulated or kept distinct) whereas the base category encodes s̈tep nature and composition\" (e.g. non-determinism and labels). Finally, we develop the notion of general saturation for lax functors and show how equivalences of interest for timed behaviours are instances of this notion. This characterisation allows us to reason about the expressiveness of said notions within a uniform framework and organise them in a spectrum independent from the behavioural aspects encoded in the base category.

I3

Peressotti, M. 2016. Endofunctors modelling higher-order behaviours. *CoRR*. abs/1602.06221, (2016).

In this paper we show how the abstract behaviours of higher-order systems can be modelled as final coalgebras of suitable behavioural functors. These functors have the challenging peculiarity to be circularly defined with their own final coalgebra. Our main contribution is a general construction for defining these functors, solving this circularity which is the essence of higher-order behaviours. This characterisation is syntax agnostic. To achieve this property, we shift from term passing to behaviour passing: in the former higher-order is expressed by passing around syntactic objects (such as terms or processes) as representations of behaviours whereas the former ditches the syntactic encoding altogether and works directly with behaviours i.e. semantic objects. From this perspective, the former can be seen as syntactic higher-order whereas the later as semantic higher-order.

C4

Miculan, M. and Peressotti, M. 2016. On the Bisimulation Hierarchy of State-to-Function Transition Systems. *Proceedings of the 17th Italian Conference on Theoretical Computer Science, Lecce, Italy, September 7-9, 2016.* (2016), 88–102.

Weighted labelled transition systems (WLTSs) are an established (meta-)model aiming to provide general results and tools for a wide range of systems such as non-deterministic, stochastic, and probabilistic systems. In order to encompass processes combining several quantitative aspects, extensions of the WLTS framework have been further proposed, state-to-function transition systems (FuTSs) and uniform labelled transition systems (ULTraSs) being two prominent examples. In this paper we show that this hierarchy of meta-models collapses when studied under the lens of bisimulation-coherent encodings.

C3

De Nart, D., Degl’Innocenti, D., Peressotti, M. and Tasso, C. 2016. Stratifying Semantic Data for Citation and Trust: An Introduction to RDFDF. *Digital Libraries and Multimedia Archives - 12th Italian Research Conference on Digital Libraries, IRCDL 2016, Florence, Italy, February 4-5, 2016, Revised Selected Papers* (2016), 104–111.

In this paper we analyse the functional requirements of linked data citation and identify a minimal set of operations and primitives needed to realise such task. Citing linked data implies solving a series of data provenance issues and finding a way to identify data subsets. Those two tasks can be handled defining a simple type system inside data and verifying it with a type checker, which is significantly less complex than interpreting reified RDF statements and can be implemented in a non data invasive way. Finally we suggest that data citation should be handled outside of the data, and propose a simple language to describe RDF documents where separation between data and metainformation is explicitly specified.

J3

Miculan, M. and Peressotti, M. 2016. Structural operational semantics for non-deterministic processes with quantitative aspects. *Theoretical Computer Science*. 655, (2016), 135–154. DOI:10.1016/j.tcs.2016.01.012.

Recently, unifying theories for processes combining non-determinism with quantitative aspects (such as probabilistic or stochastically timed executions) have been proposed with the aim of providing general results and tools. This paper provides two contributions in this respect. First, we present a general GSOS specification format and a corresponding notion of bisimulation for non-deterministic processes with quantitative aspects. These specifications define labelled transition systems according to the ULTraS model, an extension of the usual LTSs where the transition relation associates any source state and transition label with state reachability weight functions (like, e.g., probability distributions). This format, hence called Weight Function GSOS (WF-GSOS), covers many known systems and their bisimulations (e.g. PEPA, TIPP, PCSP) and GSOS formats (e.g. GSOS, Weighted GSOS, Segala-GSOS).

The second contribution is a characterization of these systems as coalgebras of a class of functors, parametric in the weight structure. This result allows us to prove soundness and completeness of the WF-GSOS specification format, and that bisimilarities induced by these specifications are always congruences.

The second contribution is a characterization of these systems as coalgebras of a class of functors, parametric in the weight structure. This result allows us to prove soundness and completeness of the WF-GSOS specification format, and that bisimilarities induced by these specifications are always congruences.

J4

De Nart, D., Degl’Innocenti, D. and Peressotti, M. 2016. Well-Stratified Linked Data for Well-Behaved Data Citation. *Bulletin of IEEE Technical Committee on Digital Libraries*. 12, 1 (2016), 16–26.

In this paper we analyse the functional requirements of linked data citation and identify a minimal set of operations and primitives needed to realise such task. Citing linked data implies solving a series of data provenance issues and finding a way to identify data subsets. Those two tasks can be handled defining a simple type system inside data and verifying it with a type checker, which is significantly less complex than interpreting reified RDF statements and can be implemented in a non data invasive way. Finally we suggest that data citation should be handled outside of the data, possibly with an ad hoc language.

J2

Brengos, T., Miculan, M. and Peressotti, M. 2015. Behavioural equivalences for coalgebras with unobservable moves. *Journal of Logical and Algebraic Methods in Programming*. 84, 6 (2015), 826–852. DOI:10.1016/j.jlamp.2015.09.002.

We introduce a general categorical framework for the definition of weak behavioural equivalences, building on and extending recent results in the field. This framework is based on parametrized saturation categories, i.e. categories whose hom-sets are endowed with complete orders and a suitable iteration operators; this structure allows us to provide the abstract definitions of various (weak) behavioural equivalence. We show that the Kleisli categories of many common monads are categories of this kind. This allows us to readily instantiate the abstract definitions to a wide range of existing systems (weighted LTS, Segala systems, calculi with names, etc.), recovering the corresponding notions of weak behavioural equivalences. Moreover, we can provide neatly new weak behavioural equivalences for more complex behaviours, like those definable on topological spaces, measurable spaces, etc.

C2

Miculan, M., Peressotti, M. and Toneguzzo, A. 2015. Open Transactions on Shared Memory. *Coordination Models and Languages - 17th IFIP WG 6.1 International Conference, COORDINATION 2015, Held as Part of the 10th International Federated Conference on Distributed Computing Techniques, DisCoTec 2015, Grenoble, France, June 2-4, 2015, Proceedings* (2015), 213–229.

Transactional memory has arisen as a good way for solving many of the issues of lock-based programming. However, most implementations admit isolated transactions only, which are not adequate when we have to coordinate communicating processes. To this end, in this paper we present OCTM, an Haskell-like language with open transactions over shared transactional memory: processes can join transactions at runtime just by accessing to shared variables. Thus a transaction can co-operate with the environment through shared variables, but if it is rolled-back, also all its effects on the environment are retracted. For proving the expressive power of TCCS we give an implementation of TCCS, a CCS-like calculus with open transactions.

I2

Miculan, M. and Peressotti, M. 2014. A CSP implementation of the bigraph embedding problem. *CoRR*. abs/1412.1042, (2014).

A crucial problem for many results and tools about bigraphs and bigraphical reactive systems is bigraph embedding. An embedding is more informative than a bigraph matching, since it keeps track of the correspondence between the various components of the redex (guest) within the agent (host). In this paper, we present an algorithm for computing embeddings based on a reduction to a constraint satisfaction problem. This algorithm, that we prove to be sound and complete, has been successfully implemented in LibBig, a library for manipulating bigraphical reactive systems. This library can be used for implementing a wide range of tools, and it can be adapted to various extensions of bigraphs.

J1

Mansutti, A., Miculan, M. and Peressotti, M. 2014. Distributed execution of bigraphical reactive systems. *Electronic Communications of the EASST*. 71, (2014). DOI:10.14279/tuj.eceasst.71.994.

The bigraph embedding problem is crucial for many results and tools about bigraphs and bigraphical reactive systems (BRS). Current algorithms for computing bigraphical embeddings are centralized, i.e. designed to run locally with a complete view of the guest and host bigraphs. In order to deal with large bigraphs, and to parallelize reactions, we present a decentralized algorithm, which distributes both state and computation over several concurrent processes. This allows for distributed, parallel simulations where non-interfering reactions can be carried out concurrently; nevertheless, even in the worst case the complexity of this distributed algorithm is no worse than that of a centralized algorithm.

C1

Mansutti, A., Miculan, M. and Peressotti, M. 2014. Multi-agent Systems Design and Prototyping with Bigraphical Reactive Systems. *Distributed Applications and Interoperable Systems - 14th IFIP WG 6.1 International Conference, DAIS 2014, Held as Part of the 9th International Federated Conference on Distributed Computing Techniques, DisCoTec 2014, Berlin, Germany, June 3-5, 2014, Proceedings* (2014), 201–208.

Several frameworks and methodologies have been proposed to ease the design of Multi Agent Systems (MAS), but the vast majority of them is tightly tied to specific implementation platforms. In this paper, we outline a methodology for MAS design and prototyping in the more abstract framework of Bigraphical Reactive Systems (BRS). In our approach, components and elements of the application domain are modelled as bigraphs, and their dynamics as graph rewriting rules. Desiderata can be encoded by means of type systems or logical formulae. Then, the BDI agents (i.e., their beliefs, desires and intentions) are identified and extracted from the BRS. This yield a prototype which can be run as distributed bigraphical system, evolving by means of distributed transactional rewritings triggered by cooperating agents depending on their internal intentions and beliefs.

This methodology allows the designer to benefit from the results and tools from the theory of BRS, especially in the requirement analysis and validation phases. Among other results, we mention behavioural equivalences, temporal/spatial logics, visual tools for editing, for simulation and for model checking, etc. Moreover, bigraphs can be naturally composed, thus allowing for modular design of MAS.

This methodology allows the designer to benefit from the results and tools from the theory of BRS, especially in the requirement analysis and validation phases. Among other results, we mention behavioural equivalences, temporal/spatial logics, visual tools for editing, for simulation and for model checking, etc. Moreover, bigraphs can be naturally composed, thus allowing for modular design of MAS.

W1

Mansutti, A., Miculan, M. and Peressotti, M. 2014. Towards distributed bigraphical reactive systems. *Proc. GCM* (2014), 45.

The bigraph embedding problem is crucial for many resultsand tools about bigraphs and bigraphical reactive systems (BRS). Thereare algorithms for computing bigraphical embedding but these are de-signed to be run locally and assume a complete view of the guest andhost bigraphs, putting large bigraphs and BRS out of their reach. Toovercome these limitations we present adecentralized algorithmfor com-puting bigraph embeddings that allows us to distribute both state andcomputation over several concurrent processes. Among various applica-tions, this algorithm offers the basis for distributed BRS simulationswhere non-interfering reactions are carried out concurrently.

W2

Miculan, M. and Peressotti, M. 2014. GSOS for non-deterministic processes with quantitative aspects. *Proceedings Twelfth International Workshop on Quantitative Aspects of Programming Languages and Systems, QAPL 2014, Grenoble, France, 12-13 April 2014.* (2014), 17–33.

General frameworks have been recently proposed as unifying theories for processes combining non-determinism with quantitative aspects (such as probabilistic or stochastically timed executions), aiming to provide general results and tools. This paper provides two contributions in this respect. First, we present a general GSOS specification format and a corresponding notion of bisimulation for non-deterministic processes with quantitative aspects. These specifications define labelled transition systems according to the ULTraS model, an extension of the usual LTSs where the transition relation associates any source state and transition label with state reachability weight functions (like, e.g., probability distributions). This format, hence called Weight Function GSOS (WF-GSOS), covers many known systems and their bisimulations (e.g. PEPA, TIPP, PCSP) and GSOS formats (e.g. GSOS, Weighted GSOS, Segala-GSOS, among others). The second contribution is a characterization of these systems as coalgebras of a class of functors, parametric on the weight structure. This result allows us to prove soundness and completeness of the WF-GSOS specification format, and that bisimilarities induced by these specifications are always congruences.

I1

Miculan, M. and Peressotti, M. 2013. Weak bisimulations for labelled transition systems weighted over semirings. *CoRR*. abs/1310.4106, (2013).

Weighted labelled transition systems are LTSs whose transitions are given weights drawn from a commutative monoid. WLTSs subsume a wide range of LTSs, providing a general notion of strong (weighted) bisimulation. In this paper we extend this framework towards other behavioural equivalences, by considering semirings of weights. Taking advantage of this extra structure, we introduce a general notion of weak weighted bisimulation. We show that weak weighted bisimulation coincides with the usual weak bisimulations in the cases of non-deterministic and fully-probabilistic systems; moreover, it naturally provides a definition of weak bisimulation also for kinds of LTSs where this notion is currently missing (such as, stochastic systems). Finally, we provide a categorical account of the coalgebraic construction of weak weighted bisimulation; this construction points out how to port our approach to other equivalences based on different notion of observability.