The concept of conflict transformation emerges as a perspective that challenges certain assumptions of conflict resolution and conflict management (Lederach, 2003). The idea of transformation does not entail the elimination or control of conflict, and rather regards conflict as a natural source of change, which is reflected in the transformation of attitudes, assumptions and behaviours, among o...

We introduce an optimization for model elimination (ME). An antilemma contains information about a failed search for a sub-proof. The application of antilemmas replaces unnecessary search attempts which can extremely improve the eeciency of the ME procedure. An-tilemma application works with other optimizations like lemmaizing and identical-ancestor pruning. We deene several reenements for the ...

We show how the Gaussian min-max theorem provides direct proofs of several famous results in asymptotic geometric analysis, such as, the Dvoretzky theorem, the Johnson-Lindenstrauss Lemma, Gluskin’s theorem on embedding in `1 , and others.

1.1. Stirling’s formula. Laplace’s approach to Stirling’s formula is noteworthy first, because it makes a direct connection with the Gaussian (normal) distribution (whereas in other approaches the Gaussian distribution enters indirectly, or not at all), and second, because it provides a general strategy for the asymptotic approximation of a large class of integrals with a large parameter. Stirl...

Let C(n; N) = R H N tr Z 2n (dZ) denote a matrix integral by a U(N)-invariant gaussian measure on the space H N of hermitian N N matrices. The integral is known to be always a positive integer. We derive a simple combinatorial interpretation of this integral in terms of rook conngurations on Ferrers boards. The formula C(n; N) = (2n ? 1)!! n X k=0 N k + 1 n k 2 k found by J. Harer and D. Zagier...

Let α, β,m, n be positive integers. Fix a line L : y = αx + β, and a lattice point Q = (m,n) on L. It is well known that the number of lattice paths from the origin to Q which touches L only at Q is given by β m+ n “m+ n m ” . We extend the above formula in various ways, in particular, we consider the case when α and β are arbitrary positive reals. The key ingredient of our proof is a new varia...

When the Model Elimination (ME) procedure was rst proposed, a notion of lemma was put forth as a promising augmentation to the basic complete proof procedure. Here the lemmas that are used are also discovered by the procedure in the same proof run. Several implementations of ME now exist but only a 1970's implementation explicitly examined this lemma mechanism, with indiierent results. We repor...