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We investigate the expressive power of the two main kinds of program logics for complex, non-regular program properties found in the literature: those extending propositional dynamic logic (PDL), and those extending the modal mu-calculus.…

Logic in Computer Science · Computer Science 2021-08-25 Eric Alsmann , Florian Bruse , Martin Lange

Qualitative Choice Logic (QCL) and Conjunctive Choice Logic (CCL) are formalisms for preference handling, with especially QCL being well established in the field of AI. So far, analyses of these logics need to be done on a case-by-case…

Logic in Computer Science · Computer Science 2021-06-10 Michael Bernreiter , Jan Maly , Stefan Woltran

We present DCL-PC: a logic for reasoning about how the abilities of agents and coalitions of agents are altered by transferring control from one agent to another. The logical foundation of DCL-PC is CL-PC, a logic for reasoning about…

Artificial Intelligence · Computer Science 2014-01-17 Wiebe van der Hoek , Dirk Walther , Michael Wooldridge

We present a theory of parameterized dynamic logic, namely DLp, for specifying and reasoning about a rich set of program models based on their transitional behaviours. Different from most dynamic logics that deal with regular expressions or…

Logic in Computer Science · Computer Science 2025-01-30 Yuanrui Zhang

Cyber-physical systems (CPSs) are important whenever computer technology interfaces with the physical world as it does in self-driving cars or aircraft control support systems. Due to their many subtleties, controllers for cyber-physical…

Logic in Computer Science · Computer Science 2021-02-15 André Platzer

Neural population activity exhibits complex, nonlinear dynamics, varying in time, over trials, and across experimental conditions. Here, we develop Conditionally Linear Dynamical System (CLDS) models as a general-purpose method to…

Neurons and Cognition · Quantitative Biology 2025-10-31 Victor Geadah , Amin Nejatbakhsh , David Lipshutz , Jonathan W. Pillow , Alex H. Williams

A temporal logic is presented for reasoning about the correctness of timed concurrent constraint programs. The logic is based on modalities which allow one to specify what a process produces as a reaction to what its environment inputs.…

Logic in Computer Science · Computer Science 2007-05-23 F. S. de Boer , M. Gabbrielli , M. C. Meo

This papers develops a logical language for representing probabilistic causal laws. Our interest in such a language is twofold. First, it can be motivated as a fundamental study of the representation of causal knowledge. Causality has an…

Artificial Intelligence · Computer Science 2009-04-13 Joost Vennekens , Marc Denecker , Maurice Bruynooghe

We show that the proof-theoretic notion of logical preorder coincides with the process-theoretic notion of contextual preorder for a CCS-like calculus obtained from the formula-as-process interpretation of a fragment of linear logic. The…

Logic in Computer Science · Computer Science 2019-02-20 Yuxin Deng , Iliano Cervesato , Robert J. Simmons

Propositional Dynamic Logic or PDL was invented as a logic for reasoning about regular programming constructs. We propose a new perspective on PDL as a multi-agent strategic logic (MASL). This logic for strategic reasoning has group…

Computer Science and Game Theory · Computer Science 2013-10-28 Jan van Eijck

The concurrent logical framework CLF is an extension of the logical framework LF designed to specify concurrent and distributed languages. While it can be used to define a variety of formalisms, reasoning about such languages within CLF has…

Logic in Computer Science · Computer Science 2013-07-30 Iliano Cervesato , Jorge Luis Sacchini

Concurrent stochastic games are an important formalism for the rational verification of probabilistic multi-agent systems, which involves verifying whether a temporal logic property is satisfied in some or all game-theoretic equilibria of…

Computer Science and Game Theory · Computer Science 2023-11-29 Daniel Stan , Muhammad Najib , Anthony Widjaja Lin , Parosh Aziz Abdulla

Communicating transactions is a form of distributed, non-isolated transactions which provides a simple construct for building concurrent systems. In this paper we develop a logical framework to express properties of the observable behaviour…

Logic in Computer Science · Computer Science 2018-01-15 Vasileios Koutavas , Maciej Gazda , Matthew Hennessy

We define and axiomatize three new logics based on the connexive logic $\mathsf{C}$, the modal logic $\mathsf{CnK}$ and the conditional logics $\mathsf{CnCK}$ and $\mathsf{CnCK}_R$. These logics display strong connexivity properties and are…

Logic · Mathematics 2025-12-12 Grigory K. Olkhovikov

Description Logics (DLs) are a family of knowledge representation formalisms mainly characterised by constructors to build complex concepts and roles from atomic ones. Expressive role constructors are important in many applications, but can…

Logic in Computer Science · Computer Science 2007-05-23 Ian Horrocks , Ulrike Sattler , Stephan Tobies

Formal, mathematically rigorous programming language semantics are the essential prerequisite for the design of logics and calculi that permit automated reasoning about concurrent programs. We propose a novel modular semantics designed to…

Programming Languages · Computer Science 2022-02-25 Crystal Chang Din , Reiner Hähnle , Ludovic Henrio , Einar Broch Johnsen , Violet Ka I Pun , Silvia Lizeth Tapia Tarifa

Programmable Logic Controllers (PLCs) are widely used in industrial automation to control physical systems. As PLC applications become increasingly complex, ensuring their correctness is crucial. Existing formal verification techniques…

Programming Languages · Computer Science 2025-07-22 Jaeseo Lee , Kyungmin Bae

Modern hardware platforms, from the very small to the very large, increasingly provide parallel and distributed computing resources for applications to maximise performance. Many applications therefore need to make effective use of tens,…

Programming Languages · Computer Science 2019-04-02 Francisco Martins , Dominic Orchard

In-context learning (ICL) has proven highly effective across diverse large language model (LLM) tasks. However, its potential for enhancing tasks that demand step-by-step logical deduction, such as mathematical reasoning, remains…

Artificial Intelligence · Computer Science 2026-01-21 Ang Gao , Changshuo Zhang , Xiao Zhang , Deyang Li , Minjun Zhao , Fangchao Liu , Xinyu Zhang

We advocate here the use of computational logic for systems biology, as a \emph{unified and safe} framework well suited for both modeling the dynamic behaviour of biological systems, expressing properties of them, and verifying these…

Quantitative Methods · Quantitative Biology 2020-10-07 Elisabetta de Maria , Joelle Despeyroux , Amy Felty , Pietro Liò , Carlos Olarte , Abdorrahim Bahrami