Query : distributivity
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Sentence-internal "same" and its quantificational licensors: A new window into the processing of inverse scope
This paper investigates the processing of sentence-internal "same" with four licensors ("all", "each", "every" and "the") in two orders: licensor+"same (surface scope) and "same"+licensor (inverse scope). Our two self-paced reading studies show that there is no general effect of surface vs. inverse...
On the Complexity of the Tiden-Arnborg Algorithm for Unification modulo One-Sided Distributivity
We prove that the Tiden and Arnborg algorithm for equational unification modulo one-sided distributivity is not polynomial time bounded as previously thought. A set of counterexamples is developed that demonstrates that the algorithm goes through exponentially many steps. Comment: In Proceedings UNI...
Distribution Laws in Weak Positional Logics
A formal language is positional if it involves a positional connecitve, i.e. a connective of realization to relate formulas to points of a kind, like points of realization or points of relativization. The connective in focus in this paper is the connective R, first introduced by Jerzy Łoś. Formulas...
Sixth grade students' explanations and justifications of distributivity
International audience Equal groups and rectangular arrays are examples of multiplicative situations that have different qualities related to students' understanding of the distributive and the commutative properties. These properties are, inter alia, important for flexible mental calculations. In o...
Contributions to the resolution of centralised and decentralised Markov decision-making processes: algorithms and theory
Cette thèse porte sur les problèmes de prise de décisions séquentielles sous incertitudes dans un système mono ou multi-agents. Les processus décisionnels de Markov offrent un modèle mathématique permettant à la fois de formaliser et de résoudre de tels problèmes. Il existe de multiple travaux propo...
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Left-Garside categories, self-distributivity, and braids
Symmetric categorial grammar: residuation and Galois connections
The Lambek-Grishin calculus is a symmetric extension of the Lambek calculus: in addition to the residuated family of product, left and right division operations of Lambek's original calculus, one also considers a family of coproduct, right and left difference operations, related to the former by an...
The meaning of plural definites: A decision-theoretic approach
This paper has two mutually motivating goals. The empirical goal is to demonstrate that definite plurals are expressions whose interpretation requires an approach that incorporates the goals of the speaker and hearer. The theoretical goal is to contribute to the development of a mathematical model o...
Verbal number and aspect in Skwxwú7mesh
This paper examines two productive patterns of reduplication in Skwxwú7mesh (Squamish; Salish), exploring the relation between aspect and verbal number. The paper proposes that the CVC reduplicant, which attaches to both nouns and verbs, is a plural marker; the observed aspectual meanings (e.g., hab...
Distributional readings of the preposition “a”
In this article we explore two constructions where the preposition a "at / to" is associated to distributive readings, the structure N a N (gota a gota lit. "drop at drop", "drop by drop", uno a uno lit. "one at one", "one by one"...) and the structure a D N (al día lit. "to the day", "by day", a la...
The Semantics of Together
The semantic function of the modifier together in adnominal position has generally been considered to be that of preventing a distributive reading of the predicate. On the basis of a new range of data, I will argue that this view is mistaken. The semantic function of adnominal together rather is tha...
New Article on medieval "Hebrew Mathematic" by Leo Corry
This article "discusses how distributivity-like properties appeared in medieval Hebrew mathematical texts. It examines works by Gersonides, Alfonso de Valladolid, Eliezer Komtino and Elijah Mizrahi." See More
Distributive configurations and distributive numerals in Basque
The syntax and semantics of distributivity in St'at'imcets (Lillooet Salish)
Utilitarianism and Evaluative Conflict between Actions
The common understanding of Utilitarianism, aka Consequentialism, implies that usually the prerequisite or proper part of what you ought to do is not what you ought to do. Suppose your sending a check to a certain charity, say, Oxfam, would have the best consequences if performed. Then, according to...
GH70 dextransucases : Insights on the molecular determinants of dextran molar mass control
Glucansucrases (GS) from glycoside hydrolase family 70 (GH70) are -transglucosylases produced by lactic acid bacteria. From sucrose, an economical and abundant agro resource, they catalyze the polymerization of glucosyl residues. Depending on the enzyme specificity, α-glucans vary in terms of size,...
On ways of expressing scope: Distributivity in Salish
Multiplication and the distributive property in primary school: an entry into algebraic thinking?
Building on several research studies in Early Algebra (Jacobs, Franke, Carpenter, Levi & Battey, 2007; Schifter, 1997; Squalli, 2002), this article sets out to investigate the potential of the knowledge that is (expected to be) taught in primary school regarding multiplication and the distributive p...
N-ary algebras. Arithmetic of intervals
This thesis has two distinguish parts. The first part concerns the study of n-ary algebras. A n-ary algebra is a vector space with a multiplication on n arguments. Classically the multiplications are binary, but the use of ternary multiplication in theoretical physic like for Nambu brackets led math...
On the morphology of the nominal concordance in Asturias
The aim of this paper is to point out the grammatical casuistry linked to the so-called mass-neuter in Asturian common speech. It will show how, in Asturian noun morphology, neuter agreement involves the expression of different semantic categories (animacy, eventivity, distributivity, singulativenes...
On the semantically plural nominal phrases in mandarin chinese and their collectif and distributif interpretations
The thesis invested the research on the semantically plural nominal phrases in Mandarin Chinese and on their collectif and distributif interpretations. It offered an analysis of the following form of pluralities : the coordinated phrase with gen, the nominals modified by the suffix -men, and the sub...
A Note on some Characterization of Distributive Lattices of Finite Length
Using known facts we give a simple characterization of the distributivity of lattices of finite length.
A Note on Distributive Triples
Even if a lattice L is not distributive, it is still possible that for particular elements x, y, z ∈ L it holds (x∨y) ∧z = (x∧z) ∨ (y ∧z). If this is the case, we say that the triple (x, y, z) is distributive. In this note we provide some sufficient conditions for the distributivity of a given tripl...
A Logical Charaterisation of Ordered Disjunction
Comment: ASPOCP 2010
The distributive Basque suffix -NA