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» Comonadic Notions of Computation
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APL
1995
ACM
13 years 11 months ago
The Role of Composition in Computer Programming
Iverson has greatly enlarged the mathematical notion of function composition and made it available to computer programmers. This paper explains the concept, and uses practical exa...
Donald B. McIntyre
TCS
2011
13 years 2 months ago
Strong normalization from an unusual point of view
A new complete characterization of β-strong normalization is given, both in the classical and in the lazy λ-calculus, through the notion of potential valuability inside two suit...
Luca Paolini, Elaine Pimentel, Simona Ronchi Della...
TCS
2011
13 years 2 months ago
Bounds for the generalized repetition threshold
The notion of repetition threshold, which is the object of Dejean’s conjecture (1972), was generalized by Ilie, Ochem, and Shallit in 2005, to include the lengths of the avoided ...
Francesca Fiorenzi, Pascal Ochem, Elise Vaslet
TCS
2010
13 years 2 months ago
Definable transductions and weighted logics for texts
A text is a word together with an additional linear order on it. We study quantitative models for texts, i.e. text series which assign to texts elements of a semiring. We introduc...
Christian Mathissen
SAC
2010
ACM
13 years 2 months ago
Similar triangles and orientation in plane elementary geometry for Coq-based proofs
In plane elementary geometry, the concept of similar triangles not only forms an important foundation for trigonometry, but it also can be used to solve many geometric problems. T...
Tuan Minh Pham