The SML-like module systems are small typed languages of their own. As is, one would expect a proof of their soundness following from a proof of subject reduction. Unfortunately, t...
Since Val Tannen's pioneering work on the combination of simply-typed λ-calculus and rst-order rewriting [11], many authors have contributed to this subject by extending it ...
Whether constant π (i.e., pi) is normal is a confusing problem without any strict theoretical demonstration except for some statistical proof. A new concept of pi series is introd...
Fuzzy cellular automata (FCA) are continuous cellular automata where the local rule is defined as the “fuzzification" of the local rule of a corresponding Boolean cellula...
Set theories are traditionally based on first-order logic. We show that in a constructive setting, basing a set theory on a dependent logic yields many benefits. To this end, we...