We investigate the proof complexity of analytic subsystems of the deep inference proof system SKSg (the calculus of structures). Exploiting the fact that the cut rule (i↑) of SKSg corresponds to the ¬-left rule in the sequent calculus, we establish that the “analytic” system KSg+c↑ has essentially the same complexity as the monotone Gentzen calculus MLK . In particular, KSg + c↑ quasipolynomial...

Background: For radiotherapy of total skin including sub-cutaneous tissue up to a depth of 3 cm on the entire left leg of an adult (Angiosarcoma skin), a complex treatment with multiple stationary electron fields was planned at our clinic. The details of dosimetry, clinical dose measurements are presented. Materials and Methods: The treatment planned with 6 overlapping 9 MeV electron fields in ...

Let \((T_t)_{t \geqslant 0}\) be a markovian (resp. submarkovian) semigroup on some \(\sigma \)-finite measure space \((\Omega ,\mu )\). We prove that its negative generator A has bounded \(H^{\infty }(\Sigma _\theta )\) calculus the weighted \(L^2(\Omega ,wd\mu as long weight \(w : \Omega \rightarrow (0,\infty finite characteristic defined by \(Q^A_2(w) = \sup _{t > 0} \left\| T_t(w) T_t \left...

We introduce a general definition of hybrid transforms for constructible functions. These are integral combining Lebesgue integration and Euler calculus. gives access to well-studied kernels regularity results, while calculus conveys topological information allows compatibility with operations on conduct systematic study such two new ones: the Euler–Fourier Euler–Laplace transforms. show that f...

This paper contains the results of experiments with several search strategies on problems involving condensed detachment The problems are taken from nine di erent logic calculi three versions of the two valued sentential calculus the many valued sentential calculus the implicational calculus the equivalential calculus the R calculus the left group calculus and the right group calculus Each prob...

background: it is necessary to consider into hospital emergency services' quantity and quality in different aspects such as time-to-provider, left-without-treatment and length-of-stay. the aimof this research was to identify the effect of these factors on patient satisfaction in training hospitals. methods: in this descriptive-analytical and cross-sectional study, the sample size was calculated...

Elements of stream calculus (an extensive exercise in coinduction) CWI's research has a theme-oriented structure and is grouped into four clusters. Listed below are the names of the clusters and in parentheses their acronyms. ABSTRACT Based on the presence of a nal coalgebra structure on the set of streams innnite sequences of real numbers, a coinductive calculus of streams is developed. The ma...

We show that the quotient of a Hom-finite triangulated category C by the kernel of the functor HomC(T, −), where T is a rigid object, is preabelian. We further show that the class of regular morphisms in the quotient admit a calculus of left and right fractions. It follows that the Gabriel-Zisman localisation of the quotient at the class of regular morphisms is abelian. We show that it is equiv...

In this paper we introduce two notions —systems of fibrant objects and fibration structures— which will allow us to associate to a bicategory B a homotopy bicategory Ho(B) in such a way that Ho(B) is the universal way to add pseudo-inverses to weak equivalences in B. Furthermore, Ho(B) is locally small when B is and Ho(B) is a 2-category when B is. We thereby resolve two of the problems with kn...

Pitts and Stark have proposed the ν-calculus as a language for investigating the interaction of unique name generation and higherorder functions. They developed a sound model based on logical relations, but left completeness as an open problem. In this paper, we develop a complete model based on bisimulation for a labelled transition system semantics. We show that bisimulation is complete, but ...