We present some general results concerning the topological space of cuts of a countable model of arithmetic given by a particular indicator Y . The notion of `indicator' is d...
As the number of processors in today’s high performance computers continues to grow, the mean-time-to-failure of these computers are becoming significantly shorter than the exe...
Zizhong Chen, Graham E. Fagg, Edgar Gabriel, Julie...
We present constructive arithmetic in Deduction modulo with rewrite rules only. In natural deduction and in sequent calculus, the cut elimination theorem and the analysis of the st...
The serious bugs and security vulnerabilities facilitated by C/C++'s lack of bounds checking are well known, yet C and C++ remain in widespread use. Unfortunately, C's a...
Santosh Nagarakatte, Jianzhou Zhao, Milo M. K. Mar...
The paper is organized as a self-contained literate Prolog program that implements elements of an executable finite set theory with focus on combinatorial generation and arithmetic...