We show that typability for a natural form of polymorphic recursive typing for rank-2 intersection types is undecidable. Our proof involves characterizing typability as a context ...
Undecidability results in rewriting have usually been proved by reduction from undecidable problems of Turing machines or, more recently, from Post’s Correspondence Problem. Ano...
We highlight the limitations of formal methods by exhibiting two results in recursive function theory: that there is no effective means of finding a program that satisfies a given...
The virtual ant introduced by Langton [Physica D 22 (1986) 120] has an interesting behavior, which has been studied in several contexts. Here we give a construction to calculate a...
We present a direct universal P system based on splicing. Our approach differs from those shown in previous papers as the P system we construct takes as input an encoding of anothe...
Pierluigi Frisco, Hendrik Jan Hoogeboom, Paul Sant