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Forgetting variables from a propositional formula may increase its size. Introducing new variables is a way to shorten it. Both operations can be expressed in terms of common equivalence, a weakened version of equivalence. In turn, common…

计算机科学中的逻辑 · 计算机科学 2021-05-07 Paolo Liberatore

Abductive forgetting is removing variables from a logical formula while maintaining its abductive explanations. It is carried in two alternative ways depending on its intended application. Both differ from the usual forgetting, which…

计算机科学中的逻辑 · 计算机科学 2025-07-22 Paolo Liberatore

Logical forgetting is \np-complete even in the simple case of propositional Horn formulae, and may exponentially increase their size. A way to forget is to replace each variable to forget with the body of each clause whose head is the…

人工智能 · 计算机科学 2024-01-30 Paolo Liberatore

This paper uses possible-world semantics to model the changes that may occur in an agent's knowledge as she loses information. This builds on previous work in which the agent may forget the truth-value of an atomic proposition, to a more…

Four algorithms for propositional forgetting are compared. The first performs all possible resolutions and deletes the clauses containing a variable to forget. The second forgets a variable at time by resolving and then deleting all clauses…

计算机科学中的逻辑 · 计算机科学 2022-04-14 Paolo Liberatore

Logical forgetting may take exponential time in general, but it does not when its input is a single-head propositional definite Horn formula. Single-head means that no variable is the head of multiple clauses. An algorithm to make a formula…

人工智能 · 计算机科学 2020-12-21 Paolo Liberatore

Forgetting - or variable elimination - is an operation that allows the removal, from a knowledge base, of middle variables no longer deemed relevant. In recent years, many different approaches for forgetting in Answer Set Programming have…

人工智能 · 计算机科学 2021-12-08 Ricardo Gonçalves , Matthias Knorr , João Leite

Distilling from a knowledge base only the part that is relevant to a subset of alphabet, which is recognized as forgetting, has attracted extensive interests in AI community. In standard propositional logic, a general algorithm of…

人工智能 · 计算机科学 2015-02-11 Yisong Wang

Dependence is an important concept for many tasks in artificial intelligence. A task can be executed more efficiently by discarding something independent from the task. In this paper, we propose two novel notions of dependence in…

人工智能 · 计算机科学 2019-06-13 Liangda Fang , Hai Wan , Xianqiao Liu , Biqing Fang , Zhaorong Lai

Solutions of symbolic regression problems are expressions that are composed of input variables and operators from a finite set of function symbols. One measure for evaluating symbolic regression algorithms is their ability to recover…

机器学习 · 计算机科学 2025-06-25 Paul Kahlmeyer , Markus Fischer , Joachim Giesen

Independence -- the study of what is relevant to a given problem of reasoning -- has received an increasing attention from the AI community. In this paper, we consider two basic forms of independence, namely, a syntactic one and a semantic…

人工智能 · 计算机科学 2011-06-24 J. Lang , P. Liberatore , P. Marquis

Forgetting a belief acquisition episode may not cause information loss because of the others. Checking whether it does is not obvious, as the contribution of each belief revision is not isolated from the others, and the same information may…

人工智能 · 计算机科学 2025-04-29 Paolo Liberatore

Memory and forgetting constitute two sides of the same coin, and although the first has been rigorously investigated, the latter is often overlooked. A number of experiments under the realm of psychology and experimental neuroscience have…

神经元与认知 · 定量生物学 2019-07-23 Antonios Georgiou , Mikhail Katkov , Misha Tsodyks

In combinatorics on words, a word $w$ over an alphabet $\Sigma$ is said to avoid a pattern $p$ over an alphabet $\Delta$ of variables if there is no factor $f$ of $w$ such that $f=h(p)$ where $h:\Delta^*\to\Sigma^*$ is a non-erasing…

离散数学 · 计算机科学 2016-10-14 Pascal Ochem , Matthieu Rosenfeld

Models trained on a new task typically degrade on prior tasks, a phenomenon known as forgetting. Traditionally, mitigating forgetting has required replaying stored exemplars from prior tasks, which is often impractical. By contrast,…

机器学习 · 计算机科学 2026-05-26 Martin Marek , Dongkyu Cho , Shikai Qiu , Rumi Chunara , Pavel Izmailov , Andrew Gordon Wilson

Forgetting a specific belief revision episode may not erase information because the other revisions may provide or entail the same information. Whether it does was proved coNP-hard for sequences of two arbitrary lexicographic revisions or…

计算复杂性 · 计算机科学 2025-05-19 Paolo Liberatore

Among the myriad of desirable properties discussed in the context of forgetting in Answer Set Programming (ASP), strong persistence naturally captures its essence. Recently, it has been shown that it is not always possible to forget a set…

人工智能 · 计算机科学 2019-08-01 Ricardo Gonçalves , Matthias Knorr , João Leite , Stefan Woltran

In this paper we investigate forgetting in disjunctive logic programs, where forgetting an atom from a program amounts to a reduction in the signature of that program. The goal is to provide an approach that is syntax-independent, in that…

人工智能 · 计算机科学 2014-05-01 James P. Delgrande , Kewen Wang

Forgetting as a knowledge management operation deliberately ignores parts of the knowledge and beliefs of an agent, for various reasons. Forgetting has many facets, one may want to forget parts of the syntax, a proposition, or a…

人工智能 · 计算机科学 2025-09-01 Christoph Beierle , Alexander Hahn , Diana Howey , Gabriele Kern-Isberner , Kai Sauerwald

The problem of guessing a random string is revisited. A close relation between guessing and compression is first established. Then it is shown that if the sequence of distributions of the information spectrum satisfies the large deviation…

信息论 · 计算机科学 2010-08-12 Manjesh Kumar Hanawal , Rajesh Sundaresan
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