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The desirable gambles framework provides a foundational approach to imprecise probability theory but relies heavily on linear utility assumptions. This paper introduces function-coherent gambles, a generalization that accommodates…

Theoretical Economics · Economics 2025-04-28 Gregory Wheeler

The necessity to manage inconsistency in Description Logics Knowledge Bases (KBs) has come to the fore with the increasing importance gained by the Semantic Web, where information comes from different sources that constantly change their…

Artificial Intelligence · Computer Science 2025-08-06 Riccardo Zese , Evelina Lamma , Fabrizio Riguzzi

We introduce Clerical, a programming language for exact real-number computation that combines first-order imperative-style programming with a limit operator for computation of real numbers as limits of Cauchy sequences. We address the…

Logic in Computer Science · Computer Science 2024-09-19 Andrej Bauer , Sewon Park , Alex Simpson

This article aims to achieve two goals: to show that probability is not the only way of dealing with uncertainty (and even more, that there are kinds of uncertainty which are for principled reasons not addressable with probabilistic means);…

Artificial Intelligence · Computer Science 2017-03-02 Tarek R. Besold , Artur d'Avila Garcez , Keith Stenning , Leendert van der Torre , Michiel van Lambalgen

Qualification has been recently introduced as a generalization of uncertainty in the field of Logic Programming. In this report we investigate a more expressive language for First-Order Functional Logic Programming with Constraints and…

Programming Languages · Computer Science 2011-01-12 Rafael Caballero , Mario Rodríguez-Artalejo , Carlos A. Romero-Díaz

Fuzzy rule-based systems have been mostly used in interpretable decision-making because of their interpretable linguistic rules. However, interpretability requires both sensible linguistic partitions and small rule-base sizes, which are not…

Machine Learning · Computer Science 2025-12-15 Javier Fumanal-Idocin , Raquel Fernandez-Peralta , Javier Andreu-Perez

A classical result by Floyd ("On the non-existence of a phrase structure grammar for ALGOL 60", 1962) states that the complete syntax of any sensible programming language cannot be described by the ordinary kind of formal grammars…

Formal Languages and Automata Theory · Computer Science 2020-12-08 Alexander Okhotin

In automated complexity analysis, noninterference-based type systems statically guarantee, via soundness, the property that well-typed programs compute functions of a given complexity class, e.g., the class FP of functions computable in…

Logic in Computer Science · Computer Science 2024-01-29 Emmanuel Hainry , Bruce M. Kapron , Jean-Yves Marion , Romain Péchoux

This paper proposes a novel fuzzy action selection method to leverage human knowledge in reinforcement learning problems. Based on the estimates of the most current action-state values, the proposed fuzzy nonlinear mapping as-signs each…

Artificial Intelligence · Computer Science 2021-06-15 Mohsen Annabestani , Ali Abedi , Mohammad Reza Nematollahi , Mohammad Bagher Naghibi Sis-tani

With consideration to behavior trees and their relevance to planning and control, within and without game development, the distinction between stateful and stateless models is discussed; a three-valued logic bridging traditional control…

Artificial Intelligence · Computer Science 2020-11-10 Thibaud de Souza

Non-confluent and non-terminating constructor-based term rewrite systems are useful for the purpose of specification and programming. In particular, existing functional logic languages use such kind of rewrite systems to define possibly…

In this paper we deal with a new approach to probabilistic reasoning in a logical framework. Nearly almost all logics of probability that have been proposed in the literature are based on classical two-valued logic. After making clear the…

Artificial Intelligence · Computer Science 2013-02-21 Petr Hajek , Lluis Godo , Francesc Esteva

Parallelism is often required for performance. In these situations an excess of non-determinism is harmful as it means the program can have several different behaviours or even different results. Even in domains such as high-performance…

Programming Languages · Computer Science 2022-10-28 Laure Gonnord , Ludovic Henrio , Lionel Morel , Gabriel Radanne

Before we combine actions and probabilities two very obvious questions should be asked. Firstly, what does "the probability of an action" mean? Secondly, how does probability interact with nondeterminism? Neither question has a single…

Software Engineering · Computer Science 2011-06-22 Steve Reeves , David Streader

The purpose of this paper is to point to the usefulness of applying a linear mathematical formulation of fuzzy multiple criteria objective decision methods in organising business activities. In this respect fuzzy parameters of linear…

Artificial Intelligence · Computer Science 2007-05-23 Sonja Petrovic-Lazarevic , Ajith Abraham

Expressive state-of-the-art separation logics rely on step-indexing to model semantically complex features and to support modular reasoning about imperative higher-order concurrent and distributed programs. Step-indexing comes, however,…

Logic programming, as exemplified by datalog, defines the meaning of a program as its unique smallest model: the deductive closure of its inference rules. However, many problems call for an enumeration of models that vary along some set of…

Programming Languages · Computer Science 2024-11-22 Chris Martens , Robert J. Simmons , Michael Arntzenius

Fuzzy reasoning is a very productive research field that during the last years has provided a number of theoretical approaches and practical implementation prototypes. Nevertheless, the classical implementations, like Fril, are not adapted…

Programming Languages · Computer Science 2009-03-13 Victor Pablos Ceruelo , Susana Munoz-Hernandez , Hannes Strass

We develop a general framework for abstracting the behavior of an agent that operates in a nondeterministic domain, i.e., where the agent does not control the outcome of the nondeterministic actions, based on the nondeterministic situation…

Logic in Computer Science · Computer Science 2023-05-24 Bita Banihashemi , Giuseppe De Giacomo , Yves Lespérance

Linear logic programming uses provability as the basis for computation. In the operational semantics based on provability, executing the additive-conjunctive goal $G_1 \& G_2$ from a program $P$ simply terminates with a success if both…

Logic in Computer Science · Computer Science 2015-07-02 Keehang Kwon , Mi-Young Park
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