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Many tasks in statistical and causal inference can be construed as problems of \emph{entailment} in a suitable formal language. We ask whether those problems are more difficult, from a computational perspective, for \emph{causal}…

Logic in Computer Science · Computer Science 2023-06-02 Milan Mossé , Duligur Ibeling , Thomas Icard

The interest in the combination of probability with logics for modeling the world has rapidly increased in the last few years. One of the most effective approaches is the Distribution Semantics which was adopted by many logic programming…

Artificial Intelligence · Computer Science 2015-01-30 Riccardo Zese

Probabilistic programs are typically normal-looking programs describing posterior probability distributions. They intrinsically code up randomized algorithms and have long been at the heart of modern machine learning and approximate…

Programming Languages · Computer Science 2023-02-14 Lutz Klinkenberg , Tobias Winkler , Mingshuai Chen , Joost-Pieter Katoen

Probabilistic programming is an approach to reasoning under uncertainty by encoding inference problems as programs. In order to solve these inference problems, probabilistic programming languages (PPLs) employ different inference…

Programming Languages · Computer Science 2023-05-04 Daniel Lundén , Johannes Borgström , David Broman

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

Reasoning on large and complex real-world models is a computationally difficult task, yet one that is required for effective use of many AI applications. A plethora of inference algorithms have been developed that work well on specific…

Artificial Intelligence · Computer Science 2016-06-13 Avi Pfeffer , Brian Ruttenberg , William Kretschmer

This paper investigates the problem of inferring knowledge from data so that the inferred knowledge is interpretable and informative to humans who have prior knowledge. Given a dataset as a collection of system trajectories, we infer…

Logic in Computer Science · Computer Science 2018-11-22 Zhe Xu , Melkior Ornik , A. Agung Julius , Ufuk Topcu

Event schemas are a form of world knowledge about the typical progression of events. Recent methods for event schema induction use information extraction systems to construct a large number of event graph instances from documents, and then…

Computation and Language · Computer Science 2023-07-06 Sha Li , Ruining Zhao , Manling Li , Heng Ji , Chris Callison-Burch , Jiawei Han

Automatic extraction of procedural graphs from documents creates a low-cost way for users to easily understand a complex procedure by skimming visual graphs. Despite the progress in recent studies, it remains unanswered: whether the…

Computation and Language · Computer Science 2024-08-09 Weihong Du , Wenrui Liao , Hongru Liang , Wenqiang Lei

We present a state-of-the-art model for fine-grained probability estimation of propositions conditioned on context. Recent advances in large language models (LLMs) have significantly enhanced their reasoning capabilities, particularly on…

Computation and Language · Computer Science 2026-04-28 Liaoyaqi Wang , Zhengping Jiang , Anqi Liu , Benjamin Van Durme

Algorithms of inference in a computer system oriented to input and semantic processing of text information are presented. Such inference is necessary for logical questions when the direct comparison of objects from a question and database…

Computation and Language · Computer Science 2012-02-02 Yuriy Ostapov

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

We extend the simply-typed guarded $\lambda$-calculus with discrete probabilities and endow it with a program logic for reasoning about relational properties of guarded probabilistic computations. This provides a framework for programming…

Programming Languages · Computer Science 2018-02-28 Alejandro Aguirre , Gilles Barthe , Lars Birkedal , Aleš Bizjak , Marco Gaboardi , Deepak Garg

Lambeks Syntactic Calculus, commonly referred to as the Lambek calculus, was innovative in many ways, notably as a precursor of linear logic. But it also showed that we could treat our grammatical framework as a logic (as opposed to a…

Computation and Language · Computer Science 2015-06-19 Richard Moot

This paper introduces the Fusemate probabilistic logic programming system. Fusemate's inference engine comprises a grounding component and a variable elimination method for probabilistic inference. Fusemate differs from most other systems…

Logic in Computer Science · Computer Science 2023-08-31 Peter Baumgartner , Elena Tartaglia

We introduce DeepProbLog, a probabilistic logic programming language that incorporates deep learning by means of neural predicates. We show how existing inference and learning techniques can be adapted for the new language. Our experiments…

Artificial Intelligence · Computer Science 2018-12-13 Robin Manhaeve , Sebastijan Dumančić , Angelika Kimmig , Thomas Demeester , Luc De Raedt

Influence diagrams provide a compact graphical representation of decision problems. Several algorithms for the quick computation of their associated expected utilities are available in the literature. However, often they rely on a full…

Artificial Intelligence · Computer Science 2017-01-19 Manuele Leonelli , Eva Riccomagno , Jim Q. Smith

In recent years, there have been intense research efforts to develop efficient methods for probabilistic inference in probabilistic influence diagrams or belief networks. Many people have concluded that the best methods are those based on…

Artificial Intelligence · Computer Science 2013-04-05 Ross D. Shachter , Stig K. Andersen , Kim-Leng Poh

In fact, there exist three genres of intelligence architectures: logics (e.g. \textit{Random Forest, A$^*$ Searching}), neurons (e.g. \textit{CNN, LSTM}) and probabilities (e.g. \textit{Naive Bayes, HMM}), all of which are incompatible to…

Artificial Intelligence · Computer Science 2018-01-08 Han Xiao

A logic is defined that allows to express information about statistical probabilities and about degrees of belief in specific propositions. By interpreting the two types of probabilities in one common probability space, the semantics given…

Artificial Intelligence · Computer Science 2013-02-28 Manfred Jaeger