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This is a motivating tutorial introduction to a semantic analysis of programming languages using a graphical language as the representation of terms, and graph rewriting as a representation of reduction rules. We show how the graphical…

Programming Languages · Computer Science 2021-02-05 Dan R. Ghica

Compositionality proofs in higher-order languages are notoriously involved, and general semantic frameworks guaranteeing compositionality are hard to come by. In particular, Turi and Plotkin's bialgebraic abstract GSOS framework, which has…

Logic in Computer Science · Computer Science 2026-05-08 Sergey Goncharov , Stefan Milius , Lutz Schröder , Stelios Tsampas , Henning Urbat

We propose a hybrid probabilistic process calculus for modelling and reasoning on cyber-physical systems (CPSs). The dynamics of the calculus is expressed in terms of a probabilistic labelled transition system in the SOS style of Plotkin.…

Logic in Computer Science · Computer Science 2021-05-25 Ruggero Lanotte , Massimo Merro , Simone Tini

Compilers use control flow graph (CFG) representations of low-level programs because they are suited to program analysis and optimizations. However, formalizing the behavior and metatheory of CFG programs is non-trivial: CFG programs don't…

Programming Languages · Computer Science 2018-05-16 Dmitri Garbuzov , William Mansky , Christine Rizkallah , Steve Zdancewic

We extend the signal flow calculus---a compositional account of the classical signal flow graph model of computation---to encompass affine behaviour, and furnish it with a novel operational semantics. The increased expressive power allows…

Logic in Computer Science · Computer Science 2020-02-21 Filippo Bonchi , Robin Piedeleu , Pawel Sobocinski , Fabio Zanasi

The operational semantics of interactive systems is usually described by labeled transition systems. Abstract semantics (that is defined in terms of bisimilarity) is characterized by the final morphism in some category of coalgebras. Since…

Logic in Computer Science · Computer Science 2015-07-01 Filippo Bonchi , Ugo Montanari

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 term…

Symbolic Computation · Computer Science 2021-02-04 Patrick Bahr

Message Sequence Charts & Sequence Diagrams are graphical models that represent the behavior of distributed and concurrent systems via the scheduling of discrete and local emission and reception events. We propose an Interaction Language…

Formal Languages and Automata Theory · Computer Science 2021-05-04 Erwan Mahe , Christophe Gaston , Pascale Le Gall

Minimizing finite automata, proving trace equivalence of labelled transition systems or representing sofic subshifts involve very similar arguments, which suggests the possibility of a unified formalism. We propose finite states…

Logic in Computer Science · Computer Science 2025-02-11 Titouan Carette , Marc de Visme , Vivien Ducros , Victor Lutfalla , Etienne Moutot

We develop denotational and operational semantics designed with continuations for process calculi based on CCS extended with mechanisms offering support for multiparty interactions. We investigate the abstractness of this continuation…

Programming Languages · Computer Science 2024-11-01 Eneia Nicolae Todoran , Gabriel Ciobanu

Small-step and big-step operational semantics are two fundamental styles of structural operational semantics (SOS), extensively used in practice. The former one is more fine-grained and is usually regarded as primitive, as it only defines a…

Logic in Computer Science · Computer Science 2025-07-14 Sergey Goncharov , Pouya Partow , Stelios Tsampas

We introduce the wire calculus. Its dynamic features are inspired by Milner's CCS: a unary prefix operation, binary choice and a standard recursion construct. Instead of an interleaving parallel composition operator there are operators for…

Logic in Computer Science · Computer Science 2009-12-04 Paweł Sobociński

In this paper we consider the task of conversational semantic parsing over general purpose knowledge graphs (KGs) with millions of entities, and thousands of relation-types. We focus on models which are capable of interactively mapping user…

Computation and Language · Computer Science 2023-12-08 Parag Jain , Mirella Lapata

Refinement calculus is a powerful and expressive tool for reasoning about sequential programs in a compositional manner. In this paper we present an extension of refinement calculus for reactive systems. Refinement calculus is based on…

Software Engineering · Computer Science 2014-06-24 Viorel Preoteasa , Stavros Tripakis

Graph-based semantic representations are valuable in natural language processing, where it is often simple and effective to represent linguistic concepts as nodes, and relations as edges between them. Several attempts has been made to find…

Formal Languages and Automata Theory · Computer Science 2021-05-10 Johanna Björklund , Frank Drewes , Anna Jonsson

Graph translation is very promising research direction and has a wide range of potential real-world applications. Graph is a natural structure for representing relationship and interactions, and its translation can encode the intrinsic…

Machine Learning · Computer Science 2021-03-17 Tianxiang Zhao , Xianfeng Tang , Xiang Zhang , Suhang Wang

Milner (1984) introduced a process semantics for regular expressions as process graphs. Unlike for the language semantics, where every regular (that is, DFA-accepted) language is the interpretation of some regular expression, there are…

Logic in Computer Science · Computer Science 2021-02-08 Clemens Grabmayer

We consider a core language of graph queries. These queries are seen as formulas to be solved with respect to graph-oriented databases. For this purpose, we first define a graph query algebra where some operations over graphs and sets of…

Logic in Computer Science · Computer Science 2022-02-22 Dominique Duval , Rachid Echahed , Frederic Prost

Milner (1984) introduced a process semantics for regular expressions as process graphs. Unlike for the language semantics, where every regular (that is, DFA-accepted) language is the interpretation of some regular expression, there are…

Logic in Computer Science · Computer Science 2020-12-22 Clemens Grabmayer

Semantic composition remains an open problem for vector space models of semantics. In this paper, we explain how the probabilistic graphical model used in the framework of Functional Distributional Semantics can be interpreted as a…

Computation and Language · Computer Science 2017-09-04 Guy Emerson , Ann Copestake