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We introduce a novel approach to studying properties of processes in the {\pi}-calculus based on a processes-as-formulas interpretation, by establishing a correspondence between specific sequent calculus derivations and computation trees in…

Logic in Computer Science · Computer Science 2025-05-27 Matteo Acclavio , Giulia Manara , Fabrizio Montesi

We identify the algebraic structure of the material histories generated by concurrent processes. Specifically, we extend existing categorical theories of resource convertibility to capture concurrent interaction. Our formalism admits an…

Logic in Computer Science · Computer Science 2023-06-22 Chad Nester

Approximate Bayesian Computation (ABC for short) is a family of computational techniques which offer an almost automated solution in situations where evaluation of the posterior likelihood is computationally prohibitive, or whenever…

Statistics Theory · Mathematics 2013-06-04 Gérard Biau , Frédéric Cérou , Arnaud Guyader

Concurrent constraint programming (ccp) is a well-established model for concurrency that singles out the fundamental aspects of asynchronous systems whose agents (or processes) evolve by posting and querying (partial) information in a…

Programming Languages · Computer Science 2012-12-18 Andrés Aristizábal , Filippo Bonchi , Luis Pino , Frank Valencia

We introduce parallelism into the basic algebra of games to model concurrent game algebraically. Parallelism is treated as a new kind of game operation. The resulted algebra of concurrent games can be used widely to reason the parallel…

Logic in Computer Science · Computer Science 2019-09-04 Yong Wang

Despite the recent progress of automated program verification techniques, fully automated verification of programs manipulating recursive data structures remains a challenge. We introduce solvable tuple patterns (STPs) and conjunctive STPs…

Programming Languages · Computer Science 2026-05-27 Naoki Kobayashi , Ryosuke Sato , Ayumi Shinohara , Ryo Yoshinaka

We study the robustness--the invariance under definition changes--of the cluster class CL#P [HHKW05]. This class contains each #P function that is computed by a balanced Turing machine whose accepting paths always form a cluster with…

Computational Complexity · Computer Science 2007-05-23 Lane A. Hemaspaandra , Christopher M. Homan , Sven Kosub

Correlation clustering is a central topic in unsupervised learning, with many applications in ML and data mining. In correlation clustering, one receives as input a signed graph and the goal is to partition it to minimize the number of…

Data Structures and Algorithms · Computer Science 2021-06-17 Vincent Cohen-Addad , Silvio Lattanzi , Slobodan Mitrović , Ashkan Norouzi-Fard , Nikos Parotsidis , Jakub Tarnawski

In this paper we introduce a novel notion of probabilistic bisimulation for quantum processes and prove that it is congruent with respect to various process algebra combinators including parallel composition even when both classical and…

Quantum Physics · Physics 2013-11-15 Yuan Feng , Runyao Duan , Mingsheng Ying

We have recently defined a weak Markovian bisimulation equivalence in an integrated-time setting, which reduces sequences of exponentially timed internal actions to individual exponentially timed internal actions having the same average…

Logic in Computer Science · Computer Science 2012-07-05 Marco Bernardo

This article belongs to a subject, Directed Algebraic Topology, whose general aim is including non-reversible processes in the range of topology and algebraic topology. Here, as a further step, we also want to cover "critical processes",…

Algebraic Topology · Mathematics 2024-01-30 Marco Grandis

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

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

Approximate Bayesian Computation (ABC) has become increasingly prominent as a method for conducting parameter inference in a range of challenging statistical problems, most notably those characterized by an intractable likelihood function.…

We develop a (co)algebraic framework to study a family of process calculi with monadic branching structures and recursion operators. Our framework features a uniform semantics of process terms and a complete axiomatisation of semantic…

Logic in Computer Science · Computer Science 2022-07-26 Todd Schmid , Wojciech Rozowski , Alexandra Silva , Jurriaan Rot

Decision-makers are faced with the challenge of estimating what is likely to happen when they take an action. For instance, if I choose not to treat this patient, are they likely to die? Practitioners commonly use supervised learning…

Machine Learning · Statistics 2018-02-02 Peter Schulam , Suchi Saria

An extremely common bottleneck encountered in statistical learning algorithms is inversion of huge covariance matrices, examples being in evaluating Gaussian likelihoods for a large number of data points. We propose general parallel…

Methodology · Statistics 2013-12-09 Anjishnu Banerjee , Joshua Vogelstein , David Dunson

While concepts and tools from Theoretical Computer Science are regularly applied to, and significantly support, software development for discrete problems, Numerical Engineering largely employs recipes and methods whose correctness and…

Computational Complexity · Computer Science 2018-01-23 Akitoshi Kawamura , Martin Ziegler

We give an axiomatisation of strong bisimilarity on a small fragment of CCS that does not feature the sum operator. This axiomatisation is then used to derive congruence of strong bisimilarity in the finite pi-calculus in absence of sum. To…

Logic in Computer Science · Computer Science 2015-07-01 Daniel Hirschkoff , Damien Pous

This research started with an algebra for reasoning about rely/guarantee concurrency for a shared memory model. The approach taken led to a more abstract algebra of atomic steps, in which atomic steps synchronise (rather than interleave)…

Logic in Computer Science · Computer Science 2017-10-11 Ian J. Hayes , Larissa A. Meinicke , Kirsten Winter , Robert J. Colvin