We rework parts of the classical relational theory when the underlying domain is a structure with some interpreted operations that can be used in queries. We identify parts of the...
The Jordan Curve Theorem (JCT) states that a simple closed curve divides the plane into exactly two connected regions. We formalize and prove the theorem in the context of grid gr...
This paper presents a novel method for designing compact yet efficient hardware implementations of the Tate pairing over supersingular curves in small characteristic. Since such cu...
We show how to automatically verify that complex XScale-like pipelined machine models satisfy the same safety and liveness properties as their corresponding instruction set archit...
contexts such as construction of abstractions, speed may be favored over completeness, so that undecidable theories (e.g., nonlinear integer arithmetic) and those whose decision pr...