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The categorical models of the differential lambda-calculus are additive categories because of the Leibniz rule which requires the summation of two expressions. This means that, as far as the differential lambda-calculus and differential…

Logic in Computer Science · Computer Science 2021-11-30 Thomas Ehrhard

The proposed framework provides a general model of concurrent imperative programming. Programs are modeled as formal languages and concurrency as an interleaving (or shuffle) operator. This yields a simple and elegant algebra of programs.…

Programming Languages · Computer Science 2012-09-11 Stephan van Staden

Probabilistic programming languages rely fundamentally on some notion of sampling, and this is doubly true for probabilistic programming languages which perform Bayesian inference using Monte Carlo techniques. Verifying samplers - proving…

Programming Languages · Computer Science 2023-04-27 Fredrik Dahlqvist , Alexandra Silva , William Smith

We propose a notion of convergence-sensitive bisimulation that is built just over the notions of (internal) reduction and of (static) context. In the framework of timed CCS, we characterise this notion of `contextual' bisimulation via the…

Logic in Computer Science · Computer Science 2010-07-01 Roberto Amadio

We consider the setting of component-based design for real-time systems with critical timing constraints. Based on our earlier work, we propose a compositional specification theory for timed automata with I/O distinction, which supports…

Software Engineering · Computer Science 2012-06-21 Chris Chilton , Marta Kwiatkowska , Xu Wang

We present a new soundness proof of Concurrent Separation Logic (CSL) based on a structural operational semantics (SOS). We build on two previous proofs and develop new auxiliary notions to achieve the goal. One uses a denotational…

Logic in Computer Science · Computer Science 2017-12-06 Pedro Soares , António Ravara , Simão Melo de Sousa

We analyse preference inference, through consistency, for general preference languages based on lexicographic models. We identify a property, which we call strong compositionality, that applies for many natural kinds of preference…

Logic in Computer Science · Computer Science 2024-11-01 Nic Wilson , Anne-Marie George

The goal of this paper is to provide a strong integration between constraint modelling and relational DBMSs. To this end we propose extensions of standard query languages such as relational algebra and SQL, by adding constraint modelling…

Artificial Intelligence · Computer Science 2021-06-02 Marco Cadoli , Toni Mancini

We reflect on programming with complicated effects, recalling an undeservingly forgotten alternative to monadic programming and checking to see how well it can actually work in modern functional languages. We adopt and argue the position of…

Programming Languages · Computer Science 2019-05-17 Oleg Kiselyov

Constraint Satisfaction Problems (CSPs, for short) make up a class of problems with applications in many areas of computer science. The first classification of these problems was given by Schaeffer who showed that every CSP over the domain…

Computational Complexity · Computer Science 2025-08-18 Dejan Delic , John Marcoux

We establish a framework that allows us to transfer results between some constraint satisfaction problems with infinite templates and promise constraint satisfaction problems. On the one hand, we obtain new algebraic results for…

Logic in Computer Science · Computer Science 2025-03-21 Antoine Mottet

A quantitative model of concurrent interaction is introduced. The basic objects are linear combinations of partial order relations, acted upon by a group of permutations that represents potential non-determinism in synchronisation. This…

Logic in Computer Science · Computer Science 2011-07-08 Emmanuel Beffara

We present a computer-aided programming approach to concurrency. The approach allows programmers to program assuming a friendly, non-preemptive scheduler, and our synthesis procedure inserts synchronization to ensure that the final program…

A decidable transfinite hierarchy is defined by assigning ordinals to the programs of an imperative language. It singles out: the classes TIMEF(n^c) and TIMEF(n_c); the finite Grzegorczyk classes at and above the elementary level, and the…

Logic in Computer Science · Computer Science 2007-05-23 Salvatore Caporaso

We prove that conflict-driven clause learning SAT-solvers with the ordered decision strategy and the DECISION learning scheme are equivalent to ordered resolution. We also prove that, by replacing this learning scheme with its opposite that…

Logic in Computer Science · Computer Science 2019-09-11 Nathan Mull , Shuo Pang , Alexander Razborov

Learning representations of algorithms is an emerging area of machine learning, seeking to bridge concepts from neural networks with classical algorithms. Several important works have investigated whether neural networks can effectively…

Negotiations are a formalism for describing multiparty distributed cooperation. Alternatively, they can be seen as a model of concurrency with synchronized choice as communication primitive. Well-designed negotiations must be sound, meaning…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Javier Esparza , Denis Kuperberg , Anca Muscholl , Igor Walukiewicz

Sequence theories are an extension of theories of strings with an infinite alphabet of letters, together with a corresponding alphabet theory (e.g. linear integer arithmetic). Sequences are natural abstractions of extendable arrays, which…

Logic in Computer Science · Computer Science 2023-08-02 Artur Jeż , Anthony W. Lin , Oliver Markgraf , Philipp Rümmer

In this position paper, we would like to offer and defend a new template to study equivalences between programs -- in the particular framework of process algebras for concurrent computation.We believe that our layered model of development…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-06 Clément Aubert , Daniele Varacca

Traces and their extension called combined traces (comtraces) are two formal models used in the analysis and verification of concurrent systems. Both models are based on concepts originating in the theory of formal languages, and they are…

Logic in Computer Science · Computer Science 2015-07-01 Lukasz Mikulski