A gauged bi-differential calculus over an associative (and not necessarily commutative) algebra A is an N0-graded left A-module with two covariant derivatives acting on it which, as a consequence of certain (e.g., nonlinear differential) equations, are flat and anticommute. As a consequence, there is an iterative construction of generalized conserved currents. We associate a gauged bi-different...

There was a PhD student who says “I found a pair of wooden shoes. I put a coin in the left and a key in the right. Next morning, I found those objects in the opposite shoes.” We do not claim existence of such shoes, but propose a similar programming abstraction in the context of typed lambda calculi. The result, which we call the Amida calculus, extends Abramsky’s linear lambda calculus LF and ...

The goal of the following is to use (infinitedimensional) linear systems theory to approach the H∞functional calculus. This extends recent work by the authors using the notion of admissible observation operators to define f (A) where f is bounded, analytic in the left half-plane and A generates an exponentially stable strongly continuous semigroup. Among other things it is shown that f (A) is a...

the low bioavailability of zinc (zn) is in calcareous and saline soil, therefore the study of chemical forms and bioavailability of zn in these soils is necessary to estimate the potential availability. the objective of this study was to evaluate the effect of plant growth promoting rhizobacteria and mycorrhizae fungi inoculation on the chemical forms of zn in a calcareous soil at different sal...

Abstract The categorical models of differential linear logic (LL) are additive categories and those the lambda-calculus left-additive because Leibniz rule which requires summation two expressions. This means that, as far LL concerned, these feature finite nondeterminism indeed languages essentially non-deterministic. We introduce a framework for differentiation does not require additivity is co...

In [BM4] the Markov Theorem Without Stabilization (MTWS) established the existence of a calculus of braid isotopies that can be used to move between closed braid representatives of a given oriented link type without having to increase the braid index by stabilization. Although the calculus is extensive there are three key isotopies that were identified and analyzed—destabilization, exchange mov...

Multiplicative linear logic (MLL) was introduced in Gi87] as a one-sided sequent calculus: linear negation is a notion that is deened, via De Morgan identities. One obtains proof nets for MLL by identifying derivations in the one-sided calculus that are equal up to a permutation of inference rules. In this paper we consider a similar quotient for the formulation of MLL as a two-sided sequent ca...

In this position paper, we would like to offer and defend a new template study equivalences between programs -- in the particular framework of process algebras for concurrent computation.We believe that our layered model development will clarify distinction is too often left implicit tasks duties programmer tester. It also enlighten pre-existing issues have been running across as diverse calcul...

Bi-intuitionistic logic is the conservative extension of intuitionistic logic with a connective dual to implication. It is sometimes presented as a symmetric constructive subsystem of classical logic. In this talk, we compare three sequent calculi for bi-intuitionistic propositional logic: (1) a basic standard-style sequent calculus that restricts the premises of implication-right and exclusion...

abstract. let r be a 2-torsion free ring with identity. in this paper, first we prove that any jordan left derivation (hence, any left derivation) on the full matrix ringmn(r) (n  2) is identically zero, and any generalized left derivation on this ring is a right centralizer. next, we show that if r is also a prime ring and n  1, then any jordan left derivation on the ring tn(r) of all n×n up...