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Recent work shows issues of consistency with explanations, with methods generating local explanations that seem reasonable instance-wise, but that are inconsistent across instances. This suggests not only that instance-wise explanations can…

人工智能 · 计算机科学 2022-08-02 Guilherme Paulino-Passos , Francesca Toni

This work is devoted to giving a geometric framework for describing higher-order non-autonomous mechanical systems. The starting point is to extend the Lagrangian-Hamiltonian unified formalism of Skinner and Rusk for these kinds of systems,…

数学物理 · 物理学 2012-10-24 Pedro D. Prieto-Martínez , Narciso Román-Roy

A number of writers(Joseph Halpern and Fahiem Bacchus among them) have offered semantics for formal languages in which inferences concerning probabilities can be made. Our concern is different. This paper provides a formalization of…

人工智能 · 计算机科学 2013-03-25 Henry E. Kyburg

In this paper we make a contribution to the unification of formal models of defeasible reasoning. We present several translations between formal argumentation frameworks and nonmonotonic logics for reasoning with plausible assumptions. More…

人工智能 · 计算机科学 2016-04-04 Jesse Heyninck , Christian Straßer

Various feature descriptions are being employed in logic programming languages and constrained-based grammar formalisms. The common notational primitive of these descriptions are functional attributes called features. The descriptions…

cmp-lg · 计算机科学 2008-02-03 Rolf Backofen , Gert Smolka

We give extensional and intensional characterizations of functional programs with nondeterminism: as structure preserving functions between biorders, and as nondeterministic sequential algorithms on ordered concrete data structures which…

计算机科学中的逻辑 · 计算机科学 2023-06-22 James Laird

We study here preference revision, considering both the monotonic case where the original preferences are preserved and the nonmonotonic case where the new preferences may override the original ones. We use a relational framework in which…

数据库 · 计算机科学 2007-05-23 Jan Chomicki , Joyce Song

Web Service Composition deals with the (re)use of Web Services to provide complex functionality, inexistent in any single service. Over the state-of-the-art, we introduce a new type of modeling, based on ontologies and relations between…

计算与语言 · 计算机科学 2019-09-11 Paul Diac , Liana Tucar , Radu Mereuta

We develop a general operational framework that formalizes the concept of conditional uncertainty in a measure-independent fashion. Our formalism is built upon a mathematical relation which we call conditional majorization. We define…

We propose a hybrid-dynamic first-order logic as a formal foundation for specifying and reasoning about reconfigurable systems. As the name suggests, the formalism we develop extends (many-sorted) first-order logic with features that are…

计算机科学中的逻辑 · 计算机科学 2019-05-13 Daniel Găină , Ionuţ Ţuţu

Unification and generalization are operations on two terms computing respectively their greatest lower bound and least upper bound when the terms are quasi-ordered by subsumption up to variable renaming (i.e., $t_1\preceq t_2$ iff $t_1 =…

编程语言 · 计算机科学 2017-10-18 Hassan Aït-Kaci , Gabriella Pasi

Recently, a novel fixed point operation has been introduced over certain non-monotonic functions between stratified complete lattices and used to give semantics to logic programs with negation and boolean context-free grammars. We prove…

计算机科学中的逻辑 · 计算机科学 2015-12-11 Zoltan Esik

A logic formalism is presented which increases the expressive power of the ID/LP format of GPSG by enlarging the inventory of ordering relations and extending the domain of their application to non-siblings. This allows a concise, modular…

cmp-lg · 计算机科学 2008-02-03 Vladimir Pericliev , Alexander Grigorov

We consider the termination/non-termination property of a class of loops. Such loops are commonly used abstractions of real program pieces. Second-order logic is a convenient language to express non-termination. Of course, such property is…

计算机科学中的逻辑 · 计算机科学 2014-12-11 Fred Mesnard , Etienne Payet

We examine the class of languages that can be defined entirely in terms of provability in an extension of the sorted type theory (Ty_n) by embedding the logic of phonologies, without introduction of special types for syntactic entities.…

计算与语言 · 计算机科学 2011-02-28 Victor Gluzberg

We introduce a novel decidable fragment of first-order logic. The fragment is one-dimensional in the sense that quantification is limited to applications of blocks of existential (universal) quantifiers such that at most one variable…

逻辑 · 数学 2014-04-16 Lauri Hella , Antti Kuusisto

Well-known principles of induction include monotone induction and different sorts of non-monotone induction such as inflationary induction, induction over well-founded sets and iterated induction. In this work, we define a logic formalizing…

人工智能 · 计算机科学 2007-05-23 Marc Denecker , Eugenia Ternovska

We discuss various formalisms to describe string-to-string transformations. Many are based on automata and can be seen as operational descriptions, allowing direct implementations when the input scanner is deterministic. Alternatively, one…

形式语言与自动机理论 · 计算机科学 2019-08-06 Paul Gastin

We introduce formal languages over infinite alphabets where words may contain binders. We define the notions of nominal language, nominal monoid, and nominal regular expressions. Moreover, we extend history-dependent automata (HD-automata)…

形式语言与自动机理论 · 计算机科学 2011-02-17 Alexander Kurz , Tomoyuki Suzuki , Emilio Tuosto

We introduce a formulation of combined systems in orthodox non-relativistic quantum mechanics, mathematically equivalent to the usual one. For context and larger issues, see http://euclid.unh.edu/~jjohnson/axiomatics.html and…

数学物理 · 物理学 2007-05-23 Joseph F. Johnson