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A kernel-independent treecode (KITC) is presented for fast summation of particle interactions. The method employs barycentric Lagrange interpolation at Chebyshev points to approximate well-separated particle-cluster interactions. The KITC…

Numerical Analysis · Mathematics 2021-11-24 Lei Wang , Robert Krasny , Svetlana Tlupova

This paper introduces a novel technique to decide the satisfiability of formulae written in the language of Linear Temporal Logic with Both future and past operators and atomic formulae belonging to constraint system D (CLTLB(D) for short).…

Logic in Computer Science · Computer Science 2014-02-12 Marcello M. Bersani , Achille Frigeri , Angelo Morzenti , Matteo Pradella , Matteo Rossi , Pierluigi San Pietro

This paper provides a fully abstract semantics for value-passing CCS for trees (VCCTS). The operational semantics is given both in terms of a reduction semantics and in terms of a labelled transition semantics. The labelled transition…

Logic in Computer Science · Computer Science 2016-07-04 Shichao Liu , Thomas Ehrhard , Ying Jiang

Threat detection systems rely on rule-based logic to identify adversarial behaviors, yet the conformance of these rules to high-level threat models is rarely verified formally. We present a formal verification framework that models both…

Cryptography and Security · Computer Science 2025-09-17 Dumitru-Bogdan Prelipcean , Cătălin Dima

Program transformations are widely used in synthesis, optimization, and maintenance of software. Correctness of program transformations depends on preservation of some important properties of the input program. By regarding programs as…

Logic in Computer Science · Computer Science 2012-09-25 Aditya Kanade , Amitabha Sanyal , Uday P. Khedker

It is important to find optimal solutions for structural errors in rule-based expert systems .Solutions to discovering such errors by using model checking techniques have already been proposed, but these solutions have problems such as…

Artificial Intelligence · Computer Science 2014-04-11 Einollah pira , Mohammad Reza Zand Miralvand , Fakhteh Soltani

Multi-step theorem prediction is a central challenge in automated reasoning. Existing neural-symbolic approaches rely heavily on supervised parametric models, which exhibit limited generalization to evolving theorem libraries. In this work,…

Artificial Intelligence · Computer Science 2026-03-06 Junbo Zhao , Ting Zhang , Can Li , Wei He , Jingdong Wang , Hua Huang

Probabilistic behavior is omnipresent in computer controlled systems, in particular, so-called safety-critical hybrid systems, because of various reasons, like uncertain environments, or fundamental properties of nature. In this paper, we…

Formal Languages and Automata Theory · Computer Science 2021-01-04 Fujun Wang , Zining Cao , Lixing Tan , Zhen Li

To refine formal methods for concurrent systems, there are several ways of enriching classical operational semantics of process calculi. One can enable the auditing and undoing of past synchronisations thanks to communication keys, thus…

Logic in Computer Science · Computer Science 2024-10-22 Clément Aubert , Iain Phillips , Irek Ulidowski

Locks are a classic data structure for concurrent programming. We introduce a type system to ensure that names of the asynchronous pi-calculus are used as locks. Our calculus also features a construct to deallocate a lock once we know that…

Logic in Computer Science · Computer Science 2023-09-15 Daniel Hirschkoff , Enguerrand Prebet

Linear temporal logic and automaton-based run-time verification provide a powerful framework for designing task and motion planning algorithms for autonomous agents. The drawback to this approach is the computational cost of operating on…

Artificial Intelligence · Computer Science 2018-11-05 Brian Paden , Peng Liu , Schuyler Cullen

Real-time systems are computing systems in which the meeting of their requirements is vital for their correctness. Consequently, if the real-time requirements of these systems are poorly understood and verified, the results can be…

Software Engineering · Computer Science 2008-02-05 Miriam C. B. Alves , Christine C. Dantas , Nanci N. Arai , Rovedy B. da Silva

Full binary trees naturally represent commutative non-associative products. There are many important examples of these products: finite-precision floating-point addition and NAND gates, among others. Balance in such a tree is highly…

Discrete Mathematics · Computer Science 2021-08-27 Laura Monroe

Current transfer learning methods for high-dimensional linear regression assume feature alignment across domains, restricting their applicability to semantically matched features. In many real-world scenarios, however, distinct features in…

Methodology · Statistics 2025-12-29 Jiancheng Jiang , Xuejun Jiang , Hongxia Jin

Linearizability and progress properties are key correctness notions for concurrent objects. However, model checking linearizability has suffered from the PSPACE-hardness of the trace inclusion problem. This paper proposes to exploit…

Programming Languages · Computer Science 2016-10-03 Xiaoxiao Yang , Joost-Pieter Katoen , Huimin Lin , Hao Wu

Metric Temporal Logic (MTL) and Timed Propositional Temporal Logic (TPTL) are prominent real-time extensions of Linear Temporal Logic (LTL). In general, the satisfiability checking problem for these extensions is undecidable when both the…

Logic in Computer Science · Computer Science 2021-09-07 Shankara Narayanan Krishna , Khushraj Madnani , Manuel Mazo , Paritosh K. Pandya

Process calculi based in logic, such as $\pi$DILL and CP, provide a foundation for deadlock-free concurrent programming, but exclude non-determinism and races. HCP is a reformulation of CP which addresses a fundamental shortcoming: the…

Logic in Computer Science · Computer Science 2023-06-22 Wen Kokke , J. Garrett Morris , Philip Wadler

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

We propose a probabilistic transition system specification format, referred to as probabilistic RBB safe, for which rooted branching bisimulation is a congruence. The congruence theorem is based on the approach of Fokkink for the…

Logic in Computer Science · Computer Science 2015-09-30 Matias D. Lee , Erik P. de Vink

Proving linearizability of concurrent data structures remains a key challenge for verification. We present temporal interpolation as a new proof principle to conduct such proofs using hindsight arguments within concurrent separation logic.…

Programming Languages · Computer Science 2023-04-25 Roland Meyer , Thomas Wies , Sebastian Wolff