Bäume für das neue Jahrtausend. Die Vorstellung einer genauen Ressourcenverwaltung im Kreislaufprinzip

Lisa Cronjäger untersucht entlang einer aus dem 19. Jahrhundert stammenden forstwissenschaftlichen Taxationskarte von Claës Wilhelm Gyldén, auf welche Weise Zukunft als kartografische Projektion entworfen wird. Das Ziel von Gyldén, den Holzertrag eines Waldes prognostisch zu regulieren, wird hierbei über diagrammatische und kalkulatorische Berechnungs- und Darstellungsverfahren erst möglich gemacht. Die Imagination einer genauen Planbarkeit von Ressourcennutzung, kartografische Genauigkeit und die Unterdrückung von (subalternen) Waldnutzungspraktiken bedingen sich in dieser Konstellation gegenseitig

Exact Separation Logic

Over-approximating (OX) program logics, such as separation logic (SL), are used for verifying properties of heap-manipulating programs: all terminating behaviour is characterised, but established results and errors need not be reachable. OX function specifications are thus incompatible with true bug-finding supported by symbolic execution tools such as Pulse and Pulse-X. In contrast, under-approximating (UX) program logics, such as incorrectness separation logic, are used to find true results and bugs: established results and errors are reachable, but there is no mechanism for understanding if all terminating behaviour has been characterised. We introduce exact separation logic (ESL), which provides fully-verified function specifications compatible with both OX verification and UX true bug-funding: all terminating behaviour is characterised, and all established results and errors are reachable. We prove soundness for ESL with mutually recursive functions, demonstrating, for the first time, function compositionality for a UX logic. We show that UX program logics require subtle definitions of internal and external function specifications compared with the familiar definitions of OX logics. We investigate the expressivity of ESL and, for the first time, explore the role of abstraction in UX reasoning by verifying abstract ESL specifications of various data-structure algorithms. In doing so, we highlight the difference between abstraction (hiding information) and over-approximation (losing information). Our findings demonstrate that, expectedly, abstraction cannot be used as freely in UX logics as in OX logics, but also that it should be feasible to use ESL to provide tractable function specifications for self-contained, critical code, which would then be used for both verification and true bug-finding

Exact separation logic: towards bridging the gap between verification and bug-finding

Over-approximating (OX) program logics, such as separation logic (SL), are used for verifying properties of heap-manipulating programs: all terminating behaviour is characterised, but established results and errors need not be reachable. OX function specifications are thus incompatible with true bug-finding supported by symbolic execution tools such as Pulse and Pulse-X. In contrast, under-approximating (UX) program logics, such as incorrectness separation logic, are used to find true results and bugs: established results and errors are reachable, but there is no mechanism for understanding if all terminating behaviour has been characterised. We introduce exact separation logic (ESL), which provides fully-verified function specifications compatible with both OX verification and UX true bug-funding: all terminating behaviour is characterised and all established results and errors are reachable. We prove soundness for ESL with mutually recursive functions, demonstrating, for the first time, function compositionality for a UX logic. We show that UX program logics require subtle definitions of internal and external function specifications compared with the familiar definitions of OX logics. We investigate the expressivity of ESL and, for the first time, explore the role of abstraction in UX reasoning by verifying abstract ESL specifications of various data-structure algorithms. In doing so, we highlight the difference between abstraction (hiding information) and over-approximation (losing information). Our findings demonstrate that abstraction cannot be used as freely in UX logics as in OX logics, but also that it should be feasible to use ESL to provide tractable function specifications for self-contained, critical code, which would then be used for both verification and true bug-finding

A Perturbative Construction of Lattice Chiral Fermions

We perform a renormalization group transformation to construct a lattice theory of chiral fermions. The field variables of the continuum theory are averaged over hypercubes to define lattice fields. Integrating out the continuum variables in perturbation theory we derive a chirally invariant effective action for the lattice fields. This is consistent with the Nielsen-Niniomiya theorem because the effective action is nonlocal. We also construct the axial current on the lattice and we show that the axial anomaly of the continuum theory is reproduced in the Schwinger model. This shows that chiral fermions can be regularized on the lattice.Comment: 8 pages, LaTe

Bäume für das neue Jahrtausend : die Vorstellung einer genauen Ressourcenverwaltung im Kreislaufprinzip

Lisa Cronjäger untersucht entlang einer aus dem 19. Jahrhundert stammenden forstwissenschaftlichen Taxationskarte von Claës Wilhelm Gyldén, auf welche Weise Zukunft als kartografische Projektion entworfen wird. Das Ziel von Gyldén, den Holzertrag eines Waldes prognostisch zu regulieren, wird hierbei über diagrammatische und kalkulatorische Berechnungs- und Darstellungsverfahren erst möglich gemacht. Die Imagination einer genauen Planbarkeit von Ressourcennutzung, kartografische Genauigkeit und die Unterdrückung von (subalternen) Waldnutzungspraktiken bedingen sich in dieser Konstellation gegenseitig

Umtriebszeiten und planetare Grenzen. Bildmuster der maximalen Ausnutzung natürlicher Ressourcen

Révolutions et limites planétaires. Modèles iconographiques de l’exploitation maximale des ressources naturelles L’article thématise le pouvoir performatif des modèles iconographiques qui illustrent la crise climatique et la gestion des ressources en perspective historique en mobilisant le concept d’«images opératives» propre aux sciences des médias. Tout d’abord, l’analyse porte sur un graphique de 2009 représentant les limites planétaires, et censé donner à voir un «safe operating space for humanity» dans le contexte de la crise climatique et environnementale. Dans un deuxième temps, à l’aide d’une série de cartes didactiques des sciences forestières des XVIIIe et XIXe siècles, l’article met en lumière la manière dont les systèmes de rotation respectifs définissent les limites de l’exploitation maximale des ressources en bois et établissent ainsi un mode de contrôle circulaire. L’article questionne cette stratégie iconographique, qui, bien qu’elle mette en scène des limites temporaires de l’exploitation des ressources, présente à long terme un cycle stable de coupes et de reboisements et finit par amener à relativiser la finitude des ressources naturelles