A relational model for confined separation logic

Confined separation logic is a new extension to separation logic designed to deal with problems involving dangling references within shared mutable structures. In par- ticular, it allows for reasoning about confinement in object- oriented programs. In this paper, we discuss the semantics of such an extension by defining a relational model for the overall logic, parametric on the shapes of both the store and the heap. This model provides a simple and elegant interpretation of the new confinement connectives and helps in seeking for duals. A number of properties of this logic are proved calculationally.Supported by NNSFC (No. 60573081

The Ontology of Knowledge, logic, arithmetic, sets theory and geometry (issue 20210304)

In Issue 20210304 the paragraph "intuition of space" is reworded/improved. At ordinary scales, the ontological model proposed by Ontology of Knowledge (OK) does not call into question the representation of the world elaborated by common sense or science. This is not the world such as it appears to us and as science describes it that is challenged by the OK but the way it appears to the knowing subject and science. In spite of the efforts made to separate scientific reasoning and metaphysical considerations, in spite of the rigorous construction of mathematics, these are not, in their very foundations, independent of modalities, of laws of representation of the world. The OK shows that logical facts Exist neither more nor less than the facts of the World which are Facts of Knowledge. The mathematical facts are facts of representation. Indeed : by the experimental proof, only the laws of the representation are proved persistent/consistent, because what science foresees and verifies with precision, it is not the facts of the world but the facts of the representation of the world. Beyond the laws of representation, nothing proves to us that there are laws of the world. Remember, however, that mathematics « are worth themselves » and can not be called into question « for themselves » by an ontology. The only question is the process of creating meaning that provides mathematics with their intuitions a priori. The first objective of this article will therefore be to identify and clarify what ruptures proposed by the OK could affect intuitions a priori which found mathematics but also could explain the remarkable ability of mathematics to represent the world. For this, three major intuitions of form will be analyzed, namely : the intuition of the One, the intuition of time and the intuition of space. Then considering mathematics in two major classes : {logic, arithmetic, set theory ...} on the one hand and geometry on the other hand, we will ask the questions : - How does the OK affect their premises and rules of inference  ? - In case of incompatibility, under what conditions can such a mathematical theory be made compatible with the OK? - Can we deduce a possible extension of the theory

Completeness for a First-order Abstract Separation Logic

Existing work on theorem proving for the assertion language of separation logic (SL) either focuses on abstract semantics which are not readily available in most applications of program verification, or on concrete models for which completeness is not possible. An important element in concrete SL is the points-to predicate which denotes a singleton heap. SL with the points-to predicate has been shown to be non-recursively enumerable. In this paper, we develop a first-order SL, called FOASL, with an abstracted version of the points-to predicate. We prove that FOASL is sound and complete with respect to an abstract semantics, of which the standard SL semantics is an instance. We also show that some reasoning principles involving the points-to predicate can be approximated as FOASL theories, thus allowing our logic to be used for reasoning about concrete program verification problems. We give some example theories that are sound with respect to different variants of separation logics from the literature, including those that are incompatible with Reynolds's semantics. In the experiment we demonstrate our FOASL based theorem prover which is able to handle a large fragment of separation logic with heap semantics as well as non-standard semantics.Comment: This is an extended version of the APLAS 2016 paper with the same titl

Animating archaeology: local theories and conceptually open-ended methodologies

Animists’ theories of matter must be given equivalence at the level of theory if we are to understand adequately the nature of ontological difference in the past. The current model is of a natural ontological continuum that connects all cultures, grounding our culturally relativist worldviews in a common world. Indigenous peoples’ worlds are thought of as fascinating but ultimately mistaken ways of knowing the world. We demonstrate how ontologically oriented theorists Eduardo Viveiros de Castro, Karen Barad and Tim Ingold in conjuncture with an anti-representationalist methodology can provide the necessary conditions for alternative ontologies to emerge in archaeology. Anthropo-zoomorphic ‘body-pots’ from first-millennium ad northwest Argentina anticipate the possibility that matter was conceptualized as chronically unstable, inherently undifferentiated, and ultimately practice dependent

Finite-Degree Predicates and Two-Variable First-Order Logic

We consider two-variable first-order logic on finite words with a fixed number of quantifier alternations. We show that all languages with a neutral letter definable using the order and finite-degree predicates are also definable with the order predicate only. From this result we derive the separation of the alternation hierarchy of two-variable logic on this signature

Wanna Play? Dries Verhoeven and the Limits of Non-Professional Performance

In October 2014, Berlin’s Hebbel am Ufer (HAU)—one of Germany’s most influential performance venues, programming and often co-producing work by artists such as Rimini Protokoll, Jérôme Bel, Meg Stuart and Gob Squad—opened its new season with a festival called Treffpunkte (meeting points).1 Conceptually, the month-long festival was located at the intersection of some of the major trends in contemporary Western theatre and performance, particularly the interest ‘in curating intimacy in public’ (Walsh 2014: 57; Read 2008), the renegotiation of theatre’s place in the public sphere (Balme 2014; Haedicke 2013) and the relation of socially engaged performance, in the broadest sense, to late global capitalism (Jackson 2011; Harvie 2013). Its explicit aim was to explore, through the means of performance, ‘the status of the private in the public sphere’ (den Status des Privaten in der öffentlichen Sphäre) and to find out whether ‘intimacy’ (Intimität)—equated with an authentic ‘communication between people’ (Kommunikation zwischen Menschen)—was still possible ‘in an age where the public space has been entirely pervaded by market conformity’ (im Zeitalter der totalen Durchdringung des öffentlichen Raumes durch das Marktförmige) (Vanackere 2014: 2).

Rethinking Plato’s Forms

This is a proposal for rethinking the main lines of Plato’s philosophy, including some of the conceptual tools he uses for building and maintaining it. Drawing on a new interpretive paradigm for Plato’s overall vision, the central focus is on the so-called Forms. Regarding the guiding paradigm, we propose replacing the dualism of a world of Forms separated from a world of particulars, with the monistic model of a hierarchically structured universe comprising interdependent levels of reality. Regarding the tools of the trade, we distinguish between three constructs that have come, one and all, and largely indiscriminately, to be regarded as Forms: Ideal Forms, Conceptual Forms, and Relational Forms. This recalibration of what we know of Plato’s outlook, tools, and methods, together with a realignment of these with his general aims, will also help restore the philosopher’s emphasis on that which is good, a perspective often blurred in the structure of two worlds

Clinical encounter and the logic of relationality : Reconfiguring bodies and subjectivities in clinical relations

Acknowledgements I would like to thank all the patients and staff for their collaboration in the study and to acknowledge the other members of the team: James N’Dow and Sara MacLennan for their helpful guidance. I am grateful to Zoë Skea and Vikki Entwistle for the early discussions of the paper, to Natasha Mauthner and Lorna McKee for their insightful comments to various drafts, and to two anonymous reviewers for their thoughtful suggestions, which helped to clarify its argument. Funding The author(s) disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: This research was supported by a grant from the Big Lottery Fund. The views expressed here are the author’s and do not necessarily reflect those of the funding bodies or any other organisation.Peer reviewedPostprin

Semantic Modeling of Analytic-based Relationships with Direct Qualification

Successfully modeling state and analytics-based semantic relationships of documents enhances representation, importance, relevancy, provenience, and priority of the document. These attributes are the core elements that form the machine-based knowledge representation for documents. However, modeling document relationships that can change over time can be inelegant, limited, complex or overly burdensome for semantic technologies. In this paper, we present Direct Qualification (DQ), an approach for modeling any semantically referenced document, concept, or named graph with results from associated applied analytics. The proposed approach supplements the traditional subject-object relationships by providing a third leg to the relationship; the qualification of how and why the relationship exists. To illustrate, we show a prototype of an event-based system with a realistic use case for applying DQ to relevancy analytics of PageRank and Hyperlink-Induced Topic Search (HITS).Comment: Proceedings of the 2015 IEEE 9th International Conference on Semantic Computing (IEEE ICSC 2015