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We look at classes of languages associated to the fragment of first-order logic B{\Sigma}1 which disallows quantifier alternations. Each class is defined by choosing the set of predicates on positions that may be used. Two key such…

Formal Languages and Automata Theory · Computer Science 2022-10-04 Thomas Place , Marc Zeitoun

A large number of works aim to alleviate the impact of noise due to an underlying conventional assumption of the negative role of noise. However, some existing works show that the assumption does not always hold. In this paper, we…

Machine Learning · Computer Science 2025-05-29 Hongyuan Zhang , Sida Huang , Yubin Guo , Xuelong Li

This paper aims at carrying out termination proofs for simply typed higher-order calculi automatically by using ordering comparisons. To this end, we introduce the computability path ordering (CPO), a recursive relation on terms obtained by…

Logic in Computer Science · Computer Science 2019-03-14 Frédéric Blanqui , Jean-Pierre Jouannaud , Albert Rubio

When optimizing a thread in a concurrent program (either done manually or by the compiler), it must be guaranteed that the resulting thread is a refinement of the original thread. Most theories of valid optimizations are formulated in terms…

Programming Languages · Computer Science 2015-10-27 Daniel Poetzl , Daniel Kroening

Resource Constrained Project Scheduling Problems (RCPSPs) without preemption are well-known NP-hard combinatorial optimization problems. A feasible RCPSP solution consists of a time-ordered schedule of jobs with corresponding execution…

Data Structures and Algorithms · Computer Science 2019-09-09 Janniele A. S. Araujo , Haroldo Gambini Santos , Bernard Gendron , Sanjay Dominik Jena , Samuel S. Brito , Danilo S. Souzaa

We show that time complexity analysis of higher-order functional programs can be effectively reduced to an arguably simpler (although computationally equivalent) verification problem, namely checking first-order inequalities for validity.…

Logic in Computer Science · Computer Science 2012-10-26 Ugo Dal Lago , Barbara Petit

This thesis studies the categorical formalisation of quantum computing, through the prism of type theory, in a three-tier process. The first stage of our investigation involves the creation of the dagger lambda calculus, a lambda calculus…

Logic in Computer Science · Computer Science 2013-11-27 Philip Atzemoglou

Constraint Programming (CP) has proved an effective paradigm to model and solve difficult combinatorial satisfaction and optimisation problems from disparate domains. Many such problems arising from the commercial world are permeated by…

Artificial Intelligence · Computer Science 2018-08-08 Neil Yorke-Smith , Carmen Gervet

We introduce $\mathcal{V}$-polyhedral disjunctive cuts (VPCs) for generating valid inequalities from general disjunctions. Cuts are critical to integer programming solvers, but the benefit from many families is only realized when the cuts…

Optimization and Control · Mathematics 2024-02-20 Egon Balas , Aleksandr M. Kazachkov

The need for rigorous process composition is encountered in many situations pertaining to the development and analysis of complex systems. We discuss the use of Classical Linear Logic (CLL) for correct-by-construction resource-based process…

Programming Languages · Computer Science 2018-12-04 Petros Papapanagiotou , Jacques Fleuriot

Motivated by the fact that both the classical and quantum description of nature rest on causality and a variational principle, we develop a novel and highly versatile discretization prescription for classical initial value problems (IVPs).…

Numerical Analysis · Mathematics 2023-02-15 Alexander Rothkopf , Jan Nordström

A recent GPU implementation of the Restarted Primal-Dual Hybrid Gradient Method for Linear Programming was proposed in Lu and Yang (2023). Its computational results demonstrate the significant computational advantages of the GPU-based…

Optimization and Control · Mathematics 2024-01-09 Haihao Lu , Jinwen Yang , Haodong Hu , Qi Huangfu , Jinsong Liu , Tianhao Liu , Yinyu Ye , Chuwen Zhang , Dongdong Ge

Real-time scheduling and locking protocols are fundamental facilities to construct time-critical systems. For parallel real-time tasks, predictable locking protocols are required when concurrent sub-jobs mutually exclusive access to shared…

Operating Systems · Computer Science 2020-07-03 Maolin Yang , Zewei Chen , Xu Jiang , Nan Guan , Hang Lei

Methods for proving that concurrent software does not leak its secrets has remained an active topic of research for at least the past four decades. Despite an impressive array of work, the present situation remains highly unsatisfactory.…

Logic in Computer Science · Computer Science 2020-01-31 Daniel Schoepe , Toby Murray , Andrei Sabelfeld

In this paper we will be concerned with a class of packing and covering problems which includes Vertex Cover and Independent Set. Typically, one can write an LP relaxation and then round the solution. In this paper, we explain why the…

Computational Complexity · Computer Science 2009-12-10 Amit Kumar , Rajsekar Manokaran , Madhur Tulsiani , Nisheeth K. Vishnoi

A system of session types is introduced as induced by a Curry Howard correspondence applied to Bounded Linear Logic, and then extending the thus obtained type system with probabilistic choices and ground types. The obtained system satisfies…

Logic in Computer Science · Computer Science 2022-07-08 Ugo Dal Lago , Giulia Giusti

Categorical Message Passing Language (CaMPL) is a functional-style concurrent programming language whose semantics is in category theory, more specifically, linear actegories. Its core programming feature is message passing along typed…

Programming Languages · Computer Science 2026-05-12 Daniel Kiyoshi Hashimoto , Alexanna Little Berg , Priyaa Varshinee Srinivasan

A cryptographic protocol (CP) is a distributed algorithm designed to provide a secure communication in an insecure environment. CPs are used, for example, in electronic payments, electronic voting procedures, database access systems, etc.…

Cryptography and Security · Computer Science 2020-11-25 A. M. Mironov

Session types, types for structuring communication between endpoints in distributed systems, are recently being integrated into mainstream programming languages. In practice, a very important notion for dealing with such types is that of…

Programming Languages · Computer Science 2023-06-22 Mario Bravetti , Marco Carbone , Julien Lange , Nobuko Yoshida , Gianluigi Zavattaro

Graph convolutional networks (GCNs) are \emph{discriminative models} that directly model the class posterior $p(y|\mathbf{x})$ for semi-supervised classification of graph data. While being effective, as a representation learning approach,…

Machine Learning · Computer Science 2023-05-30 Tianchun Wang , Farzaneh Mirzazadeh , Xiang Zhang , Jie Chen