Linear logic" (LL; see Girard [6]) was proposed to be of use in computer science, but it can be formulated as a "display logic" (DL; see Belnap [2]), which is a kind of Gentzen calculus admitting easy proof of an Elimination Theorem. Thus LL is naturally placed within a wider prooftheoretical framework that is known to include relevance, intuitionist, and modal logics, etc., and that permits co...

We formulate a unified display calculus proof theory for the four principal varieties of bunched logic by combining display calculi for their component logics. Our calculi satisfy cut-elimination, and are sound and complete with respect to their standard presentations. We show how to constrain applications of display-equivalence in our calculi in such a way that an exhaustive proof search need ...

We investigate the strongly lensed (\mu x10-100) Lyman continuum (LyC) galaxy, dubbed Sunburst, at z=2.37, taking advantage of a new accurate model lens. A characterization intrinsic (delensed) properties galaxy yields size ~3 sq.kpc, luminosity Muv=-20.3,and stellar mass M~10^9 Msun;16% ultraviolet light is located in 3 Myr old gravitationally-bound young massive star cluster (YMC) with an eff...

hemangioma of the rib is a rare benign vascular tumor. herein, we report a 63-year-old man presenting with hemangioma of the left sixth rib. an osteolytic eccentric expansive mass with calcification and focal cortical disruption was detected on chest computed tomography (ct). the mass showed low 2-deoxy-2-[18f]-fluoro-d-glucose (18f-fdg) avidity on positron emission tomography. the patient unde...