1,720,962 research outputs found
How to Think of Intersection Types as Cartesian Products
No full textAbstractIn their paper “Intersection types and lambda definability” [Bucciarelli, A., Piperno, A., Salvo I., Intersection types and lambda definability, MSCS03, 13 (1), pp. 15–53, (2003)] Bucciarelli, Piperno, and Salvo give a mapping of the strongly normalizable untyped terms into the simply typed terms via the assignment of intersection types. Here we shall both generalize their result and provide a converse. We shall do this by retracting untyped terms with surjective pairing onto untyped terms without pairing by using a special variant of Stovring's notion [Støvring, K., Extending the extensional lambda calculus with surjective pairing is conservative, LMCS 2, pp. 1–14] of a symmetric term. The symmetric ones which have simple types with Cartesian products are precisely the ones which retract onto (eta expansions of) strongly normalizable untyped terms. The intersection types of the strongly normalizable terms are related to the simple types with products in that we just replace ∧ by Cartesian product and vice versa
On the Representation of Semigroups and Other Congruences in the Lambda Calculus
No full textAbstractWe show that every semigroup with an RE word problem can be pointwise represented in the lambda calculus. In addition, we show that the free monoid generated by an arbitrary RE subset of combinators can be represented as the monoid of all terms which fix a finite set of points
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Variations on the Author
Full text link“Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship
Appropriate Similarity Measures for Author Cocitation Analysis
Full text linkWe provide a number of new insights into the methodological discussion about author cocitation analysis. We first argue that the use of the Pearson correlation for measuring the similarity between authors’ cocitation profiles is not very satisfactory. We then discuss what kind of similarity measures may be used as an alternative to the Pearson correlation. We consider three similarity measures in particular. One is the well-known cosine. The other two similarity measures have not been used before in the bibliometric literature. Finally, we show by means of an example that our findings have a high practical relevance.information science;Pearson correlation;cosine;similarity measure;author cocitation analysis
Every countable poset is embeddable in the poset of unsolvable terms
No full textAbstractIn this paper we shall show that the poset of unsolvable terms is universal
The word problem for Smullyan's lark combinator is decidable
No full textAbstractWe show that the problem of deciding whether two applicative combinations of Smullyan's L combinator are equal is solvable
A New Type Assignment for Strongly Normalizable Terms
Full text linkWe consider an operator definable in the intuitionistic theory of monadic predicates and we axiomatize some of its properties in a definitional extension of that monadic logic. The axiomatization lends itself to a natural deduction formulation to which the Curry-Howard isomorphism can be applied. The resulting Church style type system has the property that an untyped term is typable if and only if it is strongly normalizable
On sets of solutions to combinator equations
No full textAbstractWe show that every r.e. set of combinators closed under β-conversion is the set of solutions to a pattern matching problem
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