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Metric temporal logic (MTL) and timed propositional temporal logic (TPTL) are quantitative extensions of linear temporal logic, which are prominent and widely used in the verification of real-timed systems. It was recently shown that the…

Logic in Computer Science · Computer Science 2023-06-22 Shiguang Feng , Markus Lohrey , Karin Quaas

Distributed LLM agent workflows should not be monitored as if they produced a single sequential log. In an asynchronous execution, a decision can only depend on events that are causally visible to the lifeline that makes it: an event that…

Logic in Computer Science · Computer Science 2026-05-21 Benedikt Bollig

This paper studies parametric Markov decision processes (pMDPs), an extension to Markov decision processes (MDPs) where transitions probabilities are described by polynomials over a finite set of parameters. Fixing values for all parameters…

Logic in Computer Science · Computer Science 2019-04-03 Tobias Winkler , Sebastian Junges , Guillermo A. Pérez , Joost-Pieter Katoen

Two natural decision problems regarding the XML query language XQuery are well-definedness and semantic type-checking. We study these problems in the setting of a relational fragment of XQuery. We show that well-definedness and semantic…

Databases · Computer Science 2007-05-23 Jan Van den Bussche , Dirk Van Gucht , Stijn Vansummeren

Probabilistic Event Calculus (PEC) is a logical framework for reasoning about actions and their effects in uncertain environments, which enables the representation of probabilistic narratives and computation of temporal projections. The PEC…

Artificial Intelligence · Computer Science 2025-07-18 Lyris Xu , Fabio Aurelio D'Asaro , Luke Dickens

Uncertainty in Logic Programming has been investigated during the last decades, dealing with various extensions of the classical LP paradigm and different applications. Existing proposals rely on different approaches, such as clause…

Logic in Computer Science · Computer Science 2010-07-22 Mario Rodríguez-Artalejo , Carlos A. Romero-Díaz

Model checking undiscounted reachability and expected-reward properties on Markov decision processes (MDPs) is key for the verification of systems that act under uncertainty. Popular algorithms are policy iteration and variants of value…

Logic in Computer Science · Computer Science 2023-01-25 Arnd Hartmanns , Sebastian Junges , Tim Quatmann , Maximilian Weininger

We describe the version of the GPT planner used in the probabilistic track of the 4th International Planning Competition (IPC-4). This version, called mGPT, solves Markov Decision Processes specified in the PPDDL language by extracting and…

Artificial Intelligence · Computer Science 2011-09-13 B. Bonet , H. Geffner

Probabilistic Computation Tree Logic (PCTL) and Continuous Stochastic Logic (CSL) are often used to describe specifications of probabilistic properties for discrete time and continuous time, respectively. In PCTL and CSL, the possibility of…

Logic in Computer Science · Computer Science 2011-11-15 Takashi Tomita , Shigeki Hagihara , Naoki Yonezaki

The molecular computing has been successfully employed to solve more and more complex computation problems. However, as an important complex problem, the model checking are still far from fully resolved under the circumstance of molecular…

Logic in Computer Science · Computer Science 2017-02-21 Weijun Zhu

Many real world domains require the representation of a measure of uncertainty. The most common such representation is probability, and the combination of probability with logic programs has given rise to the field of Probabilistic Logic…

Artificial Intelligence · Computer Science 2011-07-26 Fabrizio Riguzzi , Terrance Swift

A term calculus for the proofs in multiplicative-additive linear logic is introduced and motivated as a programming language for channel based concurrency. The term calculus is proved complete for a semantics in linearly distributive…

Category Theory · Mathematics 2010-03-03 J. R. B. Cockett , C. A. Pastro

This paper introduces Logical Credal Networks, an expressive probabilistic logic that generalizes many prior models that combine logic and probability. Given imprecise information represented by probability bounds and conditional…

Artificial Intelligence · Computer Science 2021-09-28 Haifeng Qian , Radu Marinescu , Alexander Gray , Debarun Bhattacharjya , Francisco Barahona , Tian Gao , Ryan Riegel , Pravinda Sahu

This paper addresses the online motion planning problem of mobile robots under complex high-level tasks. The robot motion is modeled as an uncertain Markov Decision Process (MDP) due to limited initial knowledge, while the task is specified…

Robotics · Computer Science 2023-02-13 Yuyang Zhang , Meng Guo

Relation-changing modal logics are extensions of the basic modal logic that allow changes to the accessibility relation of a model during the evaluation of a formula. In particular, they are equipped with dynamic modalities that are able to…

Logic in Computer Science · Computer Science 2016-09-15 Carlos Areces , Raul Fervari , Guillaume Hoffmann , Mauricio Martel

Explaining opaque Machine Learning (ML) models is an increasingly relevant problem. Current explanation in AI (XAI) methods suffer several shortcomings, among others an insufficient incorporation of background knowledge, and a lack of…

Artificial Intelligence · Computer Science 2023-09-04 Laura State , Salvatore Ruggieri , Franco Turini

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

Tool use, such as web search, has become a standard capability even in freely available large language models (LLMs). However, existing benchmarks evaluate temporal reasoning mainly in static, non-tool-using settings, which poorly reflect…

Computation and Language · Computer Science 2026-03-24 Zhengxiang Wang , Zeyu Dong

Pre-ranking is a critical stage in industrial recommendation systems, tasked with efficiently scoring thousands of recalled items for downstream ranking. A key challenge is the train-serving discrepancy: pre-ranking models are trained only…

Information Retrieval · Computer Science 2026-02-25 Junyu Bi , Xinting Niu , Daixuan Cheng , Kun Yuan , Tao Wang , Binbin Cao , Jian Wu , Yuning Jiang

Argumentation problems are concerned with determining the acceptability of a set of arguments from their relational structure. When the available information is uncertain, probabilistic argumentation frameworks provide modelling tools to…

Artificial Intelligence · Computer Science 2023-04-18 Pietro Totis , Angelika Kimmig , Luc De Raedt
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