Search

This volume contains the proceedings of DCM 2023, the 13th International Workshop on Developments in Computational Models held on 2 July 2023 in Rome, Italy. DCM 2023 was organised as a one-day satellite event of FSCD 2023, the 8th International Conference on Formal Structures for Computation and Deduction. The aim of this workshop is to bring together researchers who are currently developing new computation models or new features for traditional computation models, in order to foster their interaction, to provide a forum for presenting new ideas and work in progress, and to enable newcomers to learn about current activities in this area.

This volume contains a selection of the papers presented at TERMGRAPH 2018, the tenth edition of the international workshop on computing with terms and graphs. Graphs, and graph transformation systems, are used in many areas within Computer Science: to represent data structures and algorithms, to define computation models, as a general modelling tool to study complex systems, etc. Research in this area addresses a range of theoretical and practical issues, including the modelling of first- and higher-order term rewriting by (acyclic or cyclic) graph rewriting, graphical frameworks such as interaction nets and sharing graphs (optimal reduction), rewrite calculi for the analysis of functional programs, graph reduction implementations of programming languages, graphical calculi modelling concurrent and mobile computations, object-oriented systems, graphs as a model of biological or chemical systems, and automated reasoning and symbolic computation systems working on shared structures. Previous editions of TERMGRAPH took place in Barcelona (2002), Rome (2004), Vienna (2006), Braga (2007), York (2009), Saarbrucken (2011), Rome (2013), Vienna (2014) and Eindhoven (2016). TERMGRAPH 2018 is affiliated with FSCD, which is part of FLOC.

An algorithm is in-place, or runs in-situ, when it does not need any additional memory to execute beyond a small constant amount. There are many algorithms that are efficient because of this feature, therefore it is an important aspect of an algorithm. In most programming languages, it is not obvious when an algorithm can run in-place, and moreover it is often not clear that the implementation respects that idea. In this paper we study interaction nets as a formalism where we can see directly, visually, that an algorithm is in-place, and moreover the implementation will respect that it is in-place. Not all algorithms can run in-place however. We can nevertheless still use the same language, but now we can annotate parts of the algorithm that can run in-place. We suggest an annotation for rules, and give an algorithm to find this automatically through analysis of the interaction rules., Comment: In Proceedings TERMGRAPH 2016, arXiv:1609.03014

Kahn process networks are a model of computation based on a collection of sequential, deterministic processes that communicate by sending messages through unbounded channels. They are well suited for modelling stream-based computations, but are in no way restricted to this application. Interaction nets are graph rewriting systems that have many interesting properties for implementation. In this paper we show how to encode process networks using interaction nets, where we model both networks and messages in the same framework., Comment: In Proceedings TERMGRAPH 2016, arXiv:1609.03014

To study implementations and optimisations of interaction net systems we propose a calculus to allow us to reason about nets, a concrete data-structure that is in close correspondence with the calculus, and a low-level language to create and manipulate this data structure. These work together so that we can describe the compilation process for interaction nets, reason about the behaviours of the implementation, and study the efficiency and properties., Comment: In Proceedings TERMGRAPH 2014, arXiv:1505.06818

This volume contains a selection of the papers presented at the Ninth International Workshop on Developments in Computational Models (DCM 2013) held in Buenos Aires, Argentina on 26th August 2013, as a satellite event of CONCUR 2013. Several new models of computation have emerged in the last years, and many developments of traditional computational models have been proposed with the aim of taking into account the new demands of computer systems users and the new capabilities of computation engines. A new computational model, or a new feature in a traditional one, usually is reflected in a new family of programming languages, and new paradigms of software development. The aim of this workshop is to bring together researchers who are currently developing new computational models or new features for traditional computational models, in order to foster their interaction, to provide a forum for presenting new ideas and work in progress, and to enable newcomers to learn about current activities in this area., Comment: EPTCS 144, 2014

Interaction nets are a graphical model of computation, which has been used to define efficient evaluators for functional calculi, and specifically lambda calculi with patterns. However, the flat structure of interaction nets forces pattern matching and functional behaviour to be encoded at the same level, losing some potential parallelism. In this paper, we introduce bigraphical nets, or binets for short, as a generalisation of interaction nets using ideas from bigraphs and port graphs, and we present a formal notation and operational semantics for binets. We illustrate their expressive power by examples of applications., Comment: In Proceedings TERMGRAPH 2013, arXiv:1302.5997

This volume contains a selection of the papers presented at the 2nd International Workshop on Linearity (LINEARITY'2012), which took place 1 April 2012 in Tallinn, Estonia. The workshop was a one-day satellite event of ETAPS 2012, the 15th European Joint Conference on Theory and Practice of Software. The aim of this workshop was to bring together researchers who are currently developing theory and applications of linear calculi, in order to foster their interaction, to provide a forum for presenting new ideas and work in progress, and to enable newcomers to learn about current activities in this area.

We offer a simple graphical representation for proofs of intuitionistic logic, which is inspired by proof nets and interaction nets (two formalisms originating in linear logic). This graphical calculus of proofs inherits good features from each, but is not constrained by them. By the Curry-Howard isomorphism, the representation applies equally to the lambda calculus, offering an alternative diagrammatic representation of functional computations., Comment: In Proceedings TERMGRAPH 2011, arXiv:1102.2268

This volume contains the proceedings of RULE 2009: the tenth International Workshop on Rule-Based Programming. It took place in June 28th 2009, Brasilia, Brazil, as a satellite event of RDP 2009. The first Rule workshop was held in Montreal in 2000, and subsequent editions took place in Firenze, Pittsburgh, Valencia, Aachen, Nara, Seattle, Paris, and Hagenberg.

This volume contains the proceedings of LINEARITY 2009: the first International Workshop on Linearity, which took place 12th September 2009 in Coimbra, Portugal. The workshop was a satellite event of CSL 2009, the 18th EACSL Annual Conference on Computer Science Logic.

We define two extensions of the typed linear lambda-calculus that yield minimal Turing-complete systems. The extensions are based on unbounded recursion in one case, and bounded recursion with minimisation in the other. We show that both approaches are compatible with linearity and typeability constraints. Both extensions of the typed linear lambda-calculus are minimal, in the sense that taking out any of the components breaks the universality of the system. We discuss implementation techniques that exploit the linearity of the calculi. Finally, we apply the results to languages with fixpoint operators: we give a compilation of the programming language PCF into a linear lambda-calculus with linear unbounded recursion., Comment: 28 pages

We propose a method for encoding iterators (and recursion operators in general) using interaction nets (INs). There are two main applications for this: the method can be used to obtain a visual nota- tion for functional programs; and it can be used to extend the existing translations of the lambda-calculus into INs to languages with recursive types., Comment: ISBN: 978-972-9348-18-1