Nov 13 2009
From the very start of my thesis, the key idea was to find a lambda calculus with explicit substitutions, indexes, and all the good properties (I refer the reader to all previous posts). In particular, having in mind a recent work from Delia Kesner
Nov 13 2008
In all previous posts I've tried to teach the different aspects inside my thesis. But after going deeper and deeper, the concepts tend to complicate too much, and much more dedication from the reader is needed. After trying to add another technical...
Nov 13 2008
In this post I will show two different sets of properties that any variation of λ-calculus with explicit substitutions may or must have. The must: 1) Any substitution must end, i. e. the process of change a variable by a term must always end, no matter...
Sep 9 2008
As I told you before, performance is something desirable when programming a λ interpreter. The sustitutions we saw are made in one step. I will note the beta step as →β and a substitution step as →. For instance, (λx.x) z →β x[x/z] → z. The computations...
Jul 29 2008
With this cite of Monthy Python, I will move into another family of calculi. What's wrong with our good ol' λ-calculus? Nearly nothing, except if you want to implement it in a real PC. In one of the firsts posts I've mentioned the α-congruence. The...
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