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We present novel semiring semantics for abstract reduction systems (ARSs). More precisely, we provide a weighted version of ARSs, where the reduction steps induce weights from a semiring. Inspired by provenance analysis in database theory…

计算机科学中的逻辑 · 计算机科学 2025-05-14 Emma Ahrens , Jan-Christoph Kassing , Jürgen Giesl , Joost-Pieter Katoen

Affine automata provide a finite-state computational model that preserves the linear-algebraic structure of quantum computation while operating entirely over the reals. Recent work has shown that affine automata can far surpass classical…

形式语言与自动机理论 · 计算机科学 2026-05-04 Zeyu Chen , Junde Wu

This paper introduces epistemic graphs as a generalization of the epistemic approach to probabilistic argumentation. In these graphs, an argument can be believed or disbelieved up to a given degree, thus providing a more fine--grained…

人工智能 · 计算机科学 2020-01-15 Anthony Hunter , Sylwia Polberg , Matthias Thimm

Abstract dialectical frameworks (ADFs) are a powerful generalisation of Dung's abstract argumentation frameworks. In this paper we present an answer set programming based software system, called DIAMOND (DIAlectical MOdels eNcoDing). It…

人工智能 · 计算机科学 2013-12-24 Stefan Ellmauthaler , Hannes Strass

We show that the minimization of visibly pushdown automata is NP-complete. This result is obtained by introducing immersions, that recognize multiple languages (over a usual, non-visible alphabet) using a common deterministic transition…

形式语言与自动机理论 · 计算机科学 2023-06-22 Olivier Gauwin , Anca Muscholl , Michael Raskin

We investigate properties of ABA+, a formalism that extends the well studied structured argumentation formalism Assumption-Based Argumentation (ABA) with a preference handling mechanism. In particular, we establish desirable properties that…

人工智能 · 计算机科学 2017-11-07 Kristijonas Cyras , Francesca Toni

We define Almost Sure Productivity (ASP), a probabilistic generalization of the productivity condition for coinductively defined structures. Intuitively, a probabilistic coinductive stream or tree is ASP if it produces infinitely many…

编程语言 · 计算机科学 2018-05-15 Alejandro Aguirre , Gilles Barthe , Justin Hsu , Alexandra Silva

It is widely acknowledged that transparency of automated decision making is crucial for deployability of intelligent systems, and explaining the reasons why some decisions are "good" and some are not is a way to achieving this transparency.…

人工智能 · 计算机科学 2022-01-25 Xiuyi Fan , Francesca Toni

For any partial combinatory algebra (PCA for short) A, the class of A-representable partial functions from N to A quotiented by the filter of cofinite sets of N, is a PCA such that the representable partial functions are exactly the…

逻辑 · 数学 2019-02-20 Yohji Akama

Agda is a dependently-typed programming language and a proof assistant, pivotal in proof formalization and programming language theory. This paper extends the Agda ecosystem into machine learning territory, and, vice versa, makes…

机器学习 · 计算机科学 2024-10-31 Konstantinos Kogkalidis , Orestis Melkonian , Jean-Philippe Bernardy

We develop an inductive proof-technique to generate imperative programs for pointer data structures from behavioural specifications expressed in the Answer Set Programming (ASP) formalism. ASP is a non-monotonic logic based formalism that…

计算机科学中的逻辑 · 计算机科学 2020-08-14 Sarat Chandra Varanasi , Neeraj Mittal , Gopal Gupta

The analysis and control of stochastic dynamical systems rely on probabilistic models such as (continuous-space) Markov decision processes, but large or continuous state spaces make exact analysis intractable and call for principled…

计算机科学中的逻辑 · 计算机科学 2026-03-13 Nivar Anwer , Ezequiel López-Rubio , David Elizondo , Rafael M. Luque-Baena

Abduction is a fundamental and important form of non-monotonic reasoning. Given a knowledge base explaining how the world behaves it aims at finding an explanation for some observed manifestation. In this paper we focus on propositional…

计算复杂性 · 计算机科学 2010-06-29 Nadia Creignou , Johannes Schmidt , Michael Thomas

ATL is a temporal logic geared towards the specification and verification of properties in multi-agents systems. It allows to reason on the existence of strategies for coalitions of agents in order to enforce a given property. In this…

计算机科学中的逻辑 · 计算机科学 2015-07-01 Francois Laroussinie , Nicolas Markey , Ghassan Oreiby

PGA (ProGram Algebra) is an algebra of programs which concerns programs in their simplest form: sequences of instructions. Molecular dynamics is a simple model of computation developed in the setting of PGA, which bears on the use of…

编程语言 · 计算机科学 2008-04-08 J. A. Bergstra , C. A. Middelburg

Argument mining is to analyze argument structure and extract important argument information from unstructured text. An argument mining system can help people automatically gain causal and logical information behind the text. As…

计算与语言 · 计算机科学 2023-09-19 Lang Cao

Decidability and synthesis of inductive invariants ranging in a given domain play an important role in many software and hardware verification systems. We consider here inductive invariants belonging to an abstract domain $A$ as defined in…

编程语言 · 计算机科学 2020-07-14 Francesco Ranzato

Monitoring and analyzing process traces is a critical task for modern companies and organizations. In scenarios where there is a gap between trace events and reference business activities, this entails an interpretation problem, amounting…

人工智能 · 计算机科学 2026-05-26 Bettina Fazzinga , Sergio Flesca , Filippo Furfaro , Luigi Pontieri , Francesco Scala

Static analysis by abstract interpretation is generally designed to be "sound", that is, it should not claim to establish properties that do not hold-in other words, not provide "false negatives" about possible bugs. A rarer requirement is…

编程语言 · 计算机科学 2024-12-11 David Monniaux

In this paper we introduce a novel semantics, called defense semantics, for Dung's abstract argumentation frameworks in terms of a notion of (partial) defence, which is a triple encoding that one argument is (partially) defended by another…

人工智能 · 计算机科学 2023-11-23 Beishui Liao , Leendert van der Torre