2 citations · 2 across the 6 of their papers we have counts for
4 papers · 1 filter
Towards Semantic Markup of Mathematical Documents via User Interaction
Luka Vrečar, Joe Wells, Fairouz Kamareddine
Mathematical documents written in LaTeX often contain ambiguities. We can resolve some of them via semantic markup using, e.g., sTeX, which also has other potential benefits, such…
Intersection Types via Finite-Set Declarations
Fairouz Kamareddine, Joe Wells
The lambda-cube is a famous pure type system (PTS) cube of eight powerful explicit type systems that include the simple, polymorphic and dependent type theories. The lambda-cube on…
The paradoxes and the infinite dazzled ancient mathematics and continue to do so today
Fairouz Kamareddine, Jonathan Seldin
This paper looks at how ancient mathematicians (and especially the Pythagorean school) were faced by problems/paradoxes associated with the infinite which led them to juggle two sy…
Substitution in the lambda Calculus and the role of the Curry School
Fairouz Kamareddine
Substitution plays a prominent role in the foundation and implementation of mathematics and computation. In the lambda calculus, we cannot define alpha congruence without a form of…