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We introduce probabilistic language tries (PLTs), a unified representation that makes explicit the prefix structure implicitly defined by any generative model over sequences. By assigning to each outgoing edge the conditional probability of…

Machine Learning · Computer Science 2026-04-09 Gregory Magarshak

Logical inference algorithms for conditional independence (CI) statements have important applications from testing consistency during knowledge elicitation to constraintbased structure learning of graphical models. We prove that the…

Artificial Intelligence · Computer Science 2012-05-14 Mathias Niepert

Bayesian probabilistic programming languages (BPPLs) let users denote statistical models as code while the interpreter infers the posterior distribution. The semantics of BPPLs are usually mathematically complex and unable to reason about…

Programming Languages · Computer Science 2025-12-03 Shing Hin Ho , Nicolas Wu , Azalea Raad

Human reasoning often involves working over limited information to arrive at probabilistic conclusions. In its simplest form, this involves making an inference that is not strictly entailed by a premise, but rather only likely given the…

Computation and Language · Computer Science 2026-03-02 Gaurav Kamath , Sreenath Madathil , Sebastian Schuster , Marie-Catherine de Marneffe , Siva Reddy

We introduce a lazy approach to the explanation-based approximation of probabilistic logic programs. It uses only the most significant part of the program when searching for explanations. The result is a fast and anytime approximate…

Artificial Intelligence · Computer Science 2015-07-13 Joris Renkens , Angelika Kimmig , Luc De Raedt

Multi-agent reinforcement learning (MARL) is well-suited for runtime decision-making in optimizing the performance of systems where multiple agents coexist and compete for shared resources. However, applying common deep learning-based MARL…

Probabilistic Programming Languages (PPLs) are a powerful tool in machine learning, allowing highly expressive generative models to be expressed succinctly. They couple complex inference algorithms, implemented by the language, with an…

Programming Languages · Computer Science 2020-10-19 Alexander Collins , Vinod Grover

We introduce a new logic programming language T-PRISM based on tensor embeddings. Our embedding scheme is a modification of the distribution semantics in PRISM, one of the state-of-the-art probabilistic logic programming languages, by…

Machine Learning · Computer Science 2019-01-25 Ryosuke Kojima , Taisuke Sato

Probabilistic programming languages (PPLs) are powerful modelling tools which allow to formalise our knowledge about the world and reason about its inherent uncertainty. Inference methods used in PPL can be computationally costly due to…

A probabilistic program defines a probability measure over its semantic structures. One common goal of probabilistic programming languages (PPLs) is to compute posterior probabilities for arbitrary models and queries, given observed…

Artificial Intelligence · Computer Science 2016-07-01 Yi Wu , Lei Li , Stuart Russell , Rastislav Bodik

Recent years have seen a surge of interest in Probabilistic Logic Programming (PLP) and Statistical Relational Learning (SRL) models that combine logic with probabilities. Structure learning of these systems is an intersection area of…

Machine Learning · Computer Science 2014-02-26 Wang-Zhou Dai , Zhi-Hua Zhou

Probabilistic programming languages (PPLs) are an expressive and intuitive means of representing complex probability distributions. In that realm, languages like Dice target an important class of probabilistic programs: those whose…

Logic in Computer Science · Computer Science 2026-02-24 Tobias Gürtler , Benjamin Lucien Kaminski

This paper investigates the possibility of performing automated reasoning in probabilistic logic when probabilities are expressed by means of linguistic quantifiers. Each linguistic term is expressed as a prescribed interval of proportions.…

Artificial Intelligence · Computer Science 2013-03-25 Didier Dubois , Henri Prade , Lluis Godo , Ramon Lopez de Mantaras

Large language models (LLMs) have recently demonstrated an impressive ability to perform arithmetic and symbolic reasoning tasks, when provided with a few examples at test time ("few-shot prompting"). Much of this success can be attributed…

Computation and Language · Computer Science 2023-01-30 Luyu Gao , Aman Madaan , Shuyan Zhou , Uri Alon , Pengfei Liu , Yiming Yang , Jamie Callan , Graham Neubig

Deep learning and symbolic learning are two frequently employed methods in Sequential Recommendation (SR). Recent neural-symbolic SR models demonstrate their potential to enable SR to be equipped with concurrent perception and cognition…

Artificial Intelligence · Computer Science 2023-05-16 Huanhuan Yuan , Pengpeng Zhao , Xuefeng Xian , Guanfeng Liu , Victor S. Sheng , Lei Zhao

Large Language Models (LLMs) have demonstrated strong capabilities in natural language understanding and reasoning. However, their ability to perform exact, deterministic computation remains unclear. In this work, we systematically evaluate…

Artificial Intelligence · Computer Science 2026-05-08 Hongkun Yu

Inference algorithms in probabilistic programming languages (PPLs) can be thought of as interpreters, since an inference algorithm traverses a model given evidence to answer a query. As with interpreters, we can improve the efficiency of…

Programming Languages · Computer Science 2016-04-19 Rohin Shah , Emina Torlak , Rastislav Bodik

Possibilistic logic programs (poss-programs) under stable models are a major variant of answer set programming (ASP). While its semantics (possibilistic stable models) and properties have been well investigated, the problem of inductive…

Artificial Intelligence · Computer Science 2026-01-14 Hongbo Hu , Yisong Wang , Yi Huang , Kewen Wang

Symbolic execution is a widely used technique for test generation, offering systematic exploration of program paths through constraint solving. However, it is fundamentally constrained by the capability to model the target code, including…

Software Engineering · Computer Science 2026-02-12 Yaoxuan Wu , Xiaojie Zhou , Ahmad Humayun , Muhammad Ali Gulzar , Miryung Kim

We propose relational linear programming, a simple framework for combing linear programs (LPs) and logic programs. A relational linear program (RLP) is a declarative LP template defining the objective and the constraints through the logical…

Artificial Intelligence · Computer Science 2014-10-14 Kristian Kersting , Martin Mladenov , Pavel Tokmakov
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