Differential Linear Logic (DiLL), introduced by Ehrhard and Regnier, extends linear logic with a notion of linear approximation of proofs. While DiLL is a classical logic, classical models of it in which this notion of differentiation corresponds to the usual one of functional analysis were missing. We solve this issue by constructing a model, without higher order, based on nuclear topological ...

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A timed extension to DILL (DIgital Logic in LOTOS) is discussed. The extension is based on ETLOTOS (Enhanced Timed LOTOS) and is used to specify timed digital logic. The approach places timing properties in two categories: timing constraints and delays. A parallel-serial model is used to form a timed specification by composing the functionality of a digital component with timing constraints and...

Recently Ehrhard and Regnier have introduced Differential Linear Logic, DiLL for short — an extension of the Multiplicative Exponential fragment of Linear Logic that is able to express non-deterministic computations. The authors have examined the cut-elimination of the promotion-free fragment of DiLL by means of a proofnet-like calculus: differential interaction nets. We extend this analysis to...

The aim of this study was to assess the antiglycation and antioxidant properties of aqueous extract of Anethum graveolens (dill). In the in vivo and in vitro experiments, antioxidant properties, blood glucose, and AGEs formation were determined. Dill extract was given orally to healthy and diabetic rats. Our results illustrated that different concentrations of dill extract (0.125, 0.25, 0.5, an...

This study investigates the most common urinary tract infection bacteria and their sensitivity to antibiotics and some essential oils from Egyptian plants. The Urinary tract bacteria were sampled from patients expressing any symptoms of urinary tract infection except those taking antibiotics. The bacteria were isolated, cultured, and identified. 64 bacterial isolates were identified as E.coli (...

Moisture management remains the most critical factor for controlling mold growth on wood and wood products during storage, construction, and while in service. When moisture management practices fail to adequately control moisture, plant extracts demonstrating antifungal properties may provide protection for these applications. The objective of this study was to evaluate the antifungal propertie...

AIMS To compare the in vitro killing effect of different agents on Demodex and to report the in vivo killing effect of tea tree oil (TTO) on ocular Demodex. METHODS Survival time of Demodex was measured under the microscope. Sampling and counting of Demodex was performed by a modified method. RESULTS Demodex folliculorum survived for more than 150 minutes in 10% povidone-iodine, 75% alcohol...