This paper presents a constraint-based method for generating universally quantified loop invariants over array and scalar variables. Constraints are solved by means of an SMT solver, thus leveraging recent advances in SMT solving for the theory of non-linear arithmetic. The method has been implemented in a prototype of program analyzer, and a wide sample of examples illustrating its power is sh...

An enumerative invariant theory in Algebraic Geometry, Differential or Representation Theory, is the study of invariants which 'count' $\tau$-(semi)stable objects $E$ with fixed topological $[E]=\alpha$ some geometric problem, using a virtual class $[{\cal M}_\alpha^{\rm ss}(\tau)]_{\rm virt}$ homology for moduli spaces ${\cal st}(\tau)\subseteq{\cal ss}(\tau)$ objects. Examples include Mochizu...

Grand unified theories (GUTs) can lead to non-universal gaugino masses at the unification scale. We study the implications of such non-universal gaugino masses for the composition of the lightest neutralino in supersymmetric (SUSY) theories based on SU (5) gauge group. We also consider the phenomenological implications of non-universal gaugino masses for the phenomenol-ogy of Higgs bosons in th...