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This paper is concerned with the automated complexity analysis of term rewrite systems (TRSs for short) and the ramification of these in implicit computational complexity theory (ICC for short). We introduce a novel path order with multiset…

Computational Complexity · Computer Science 2012-09-19 Martin Avanzini , Georg Moser

This paper proposes a simple topological characterization of a large class of fair adversarial models via affine tasks: sub-complexes of the second iteration of the standard chromatic subdivision. We show that the task computability of a…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-20 Petr Kuznetsov , Thibault Rieutord , Yuan He

The Massive Parallel Computation (MPC) model is a theoretical framework for popular parallel and distributed platforms such as MapReduce, Hadoop, or Spark. We consider the task of computing a large matching or small vertex cover in this…

Data Structures and Algorithms · Computer Science 2018-07-24 Krzysztof Onak

We model actors based on truly concurrent process algebra, and capture the actor model in the following characteristics: (1) Concurrency: all actors execute concurrently; (2) Asynchrony: an actor receives and sends messages asynchronously;…

Logic in Computer Science · Computer Science 2021-10-29 Yong Wang

This paper introduces the counterpart of strong bisimilarity for labelled transition systems extended with time-out transitions. It supports this concept through a modal characterisation, congruence results for a standard process algebra…

Logic in Computer Science · Computer Science 2023-01-25 Rob van Glabbeek

Constraint Handling Rules is an effective concurrent declarative programming language and a versatile computational logic formalism. CHR programs consist of guarded reactive rules that transform multisets of constraints. One of the main…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-09 Thom Fruehwirth

In process mining, alignments quantify the degree of deviation between an observed event trace and a business process model and constitute the most important conformance checking technique. We study the algorithmic complexity of computing…

Formal Languages and Automata Theory · Computer Science 2026-03-06 Christopher T. Schwanen , Wied Pakusa , Wil M. P. van der Aalst

Two of the most studied extensions of trace and testing equivalences to nondeterministic and probabilistic processes induce distinctions that have been questioned and lack properties that are desirable. Probabilistic trace-distribution…

Logic in Computer Science · Computer Science 2015-07-01 Marco Bernardo , Rocco De Nicola , Michele Loreti

The formalization of process algebras usually starts with a minimal core of operators and rules for its transition system, and then relax the system to improve its usability and ease the proofs. In the calculus of communicating systems…

Formal Languages and Automata Theory · Computer Science 2020-05-15 Clément Aubert , Ioana Cristescu

This paper introduces a novel paradigm for the analysis and verification of concurrent programs -- the Singularity Theory. We model the execution space of a concurrent program as a branched topological space, where program states are points…

Programming Languages · Computer Science 2025-10-30 Di Zhang

We study which standard operators of probabilistic process calculi allow for compositional reasoning with respect to bisimulation metric semantics. We argue that uniform continuity (generalizing the earlier proposed property of…

Logic in Computer Science · Computer Science 2019-03-14 Daniel Gebler , Kim G. Larsen , Simone Tini

Causality serves as an abstract notion of time for concurrent systems. A computation is causal, or simply valid, if each observation of a computation event is preceded by the observation of its causes. The present work establishes that this…

Logic in Computer Science · Computer Science 2026-03-03 Clément Aubert , Jean Krivine

A notion of open bisimulation is formulated for the spi calculus, an extension of the pi-calculus with cryptographic primitives. In this formulation, open bisimulation is indexed by pairs of symbolic traces, which represent the history of…

Cryptography and Security · Computer Science 2009-01-16 Alwen Tiu

In contrast to common belief, the Calculus of Communicating Systems (CCS) and similar process algebras lack the expressive power to accurately capture mutual exclusion protocols without enriching the language with fairness assumptions.…

Logic in Computer Science · Computer Science 2017-09-05 Victor Dyseryn , Rob van Glabbeek , Peter Höfner

The higher-order pi-calculus is an extension of the pi-calculus to allow communication of abstractions of processes rather than names alone. It has been studied intensively by Sangiorgi in his thesis where a characterisation of a contextual…

Programming Languages · Computer Science 2017-01-11 Alan Jeffrey , Julian Rathke

We introduce a dialect of the Asynchronous pi-calculus, called AWpi, in which (1) an input name may be owned, at any time, by at most one process; (2) each name has either only the input or only the output capability. As a result, special…

Logic in Computer Science · Computer Science 2026-05-19 Ken Sakayori , Davide Sangiorgi , Simon Castellan , Pierre Clairambault

We first present a probabilistic version of ACP that rests on the principle that probabilistic choices are always resolved before choices involved in alternative composition and parallel composition are resolved and then extend this…

Logic in Computer Science · Computer Science 2020-12-23 C. A. Middelburg

In this note, we introduce a class of algebras that are in some sense related to conformal algebras. This class (called TC-algebras) includes Weyl algebras and some of their (associative and Lie) subalgebras. By a conformal algebra we…

Quantum Algebra · Mathematics 2007-06-20 Pavel Kolesnikov

Alignment algorithms usually rely on simplified models of gaps for computational efficiency. Based on an isomorphism between alignments and physical helix-coil models, we show in statistical mechanics that alignments with realistic laws for…

Genomics · Quantitative Biology 2015-06-26 E. Yeramian , E. Debonneuil

Specifications of significant systems can be made short and perspicuous by using abstract data types; data reification can provide a clear, stepwise, development history of programs that use more efficient concrete representations. Data…

Logic in Computer Science · Computer Science 2024-05-10 Larissa A. Meinicke , Ian J. Hayes , Cliff B. Jones