Topological Foundations of Cognitive Science

A collection of papers presented at the First International Summer Institute in Cognitive Science, University at Buffalo, July 1994, including the following papers: ** Topological Foundations of Cognitive Science, Barry Smith ** The Bounds of Axiomatisation, Graham White ** Rethinking Boundaries, Wojciech Zelaniec ** Sheaf Mereology and Space Cognition, Jean Petitot ** A Mereotopological Definition of 'Point', Carola Eschenbach ** Discreteness, Finiteness, and the Structure of Topological Spaces, Christopher Habel ** Mass Reference and the Geometry of Solids, Almerindo E. Ojeda ** Defining a 'Doughnut' Made Difficult, N .M. Gotts ** A Theory of Spatial Regions with Indeterminate Boundaries, A.G. Cohn and N.M. Gotts ** Mereotopological Construction of Time from Events, Fabio Pianesi and Achille C. Varzi ** Computational Mereology: A Study of Part-of Relations for Multi-media Indexing, Wlodek Zadrozny and Michelle Ki

Tools and Algorithms for the Construction and Analysis of Systems

This open access two-volume set constitutes the proceedings of the 27th International Conference on Tools and Algorithms for the Construction and Analysis of Systems, TACAS 2021, which was held during March 27 – April 1, 2021, as part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2021. The conference was planned to take place in Luxembourg and changed to an online format due to the COVID-19 pandemic. The total of 41 full papers presented in the proceedings was carefully reviewed and selected from 141 submissions. The volume also contains 7 tool papers; 6 Tool Demo papers, 9 SV-Comp Competition Papers. The papers are organized in topical sections as follows: Part I: Game Theory; SMT Verification; Probabilities; Timed Systems; Neural Networks; Analysis of Network Communication. Part II: Verification Techniques (not SMT); Case Studies; Proof Generation/Validation; Tool Papers; Tool Demo Papers; SV-Comp Tool Competition Papers

Applying the Engineering Statechart Formalism to the evaluation of soft real-time in operating systems : a use case tailored modeling and analysis technique

Multimedia applications that have emerged in recent years impose unique requirements on an underlying general purpose operating system (GPOS). The suitability of a GPOS for multimedia processing is judged by its soft real-time capabilities. To date, the question of how these capabilities can be assessed has scarcely been addressed: this is a gap in GPOS research. By answering questions on the impacts of the Interrupt Handling Facility (IHF) on the overall soft real-time capabilities of a GPOS, this thesis contributes to the filling of this blank space. The Engineering Statechart Formalism (ESF), a use case tailored formal method of modeling real-world OS, is syntactically and semantically defined. Models of the IHF of selected real-world operating systems are then created by means of this technique. As no appropriate real-time concept fitting the goals of this thesis as yet exists, a suitable definition is constructed. By projecting this system-wide idea to the interrupt subsystem, specific indicators for this subsystem are erived. These indicators are then evaluated by applying formal techniques such as graph-based analysis and temporal logic model checking to the ESF models. Finally, the assertions derived from this evaluation are interpreted with respect to their impacts on real-time multimedia processing in different general purpose operating systems.Multimedia-Anwendungen haben in den letzten Jahren weite Verbreitung erfahren. Solche Anwendungen stellen besondere Anforderungen an das Betriebssystem (BS), auf dem sie ausgeführt werden. Insbesondere Echtzeitfähigkeiten des Betriebssystems sind von Bedeutung, wenn es um seine Eignung für Multimedia-Verarbeitung geht. Bis heute wurde die Frage, wie sich diese Fähigkeiten konkret innerhalb eines BS manifestieren, nur unzureichend untersucht. Die vorliegende Arbeit leistet einen Beitrag zur Füllung dieser Lücke in der BS-Forschung. Die Effekte des Subsystems zur Unterbrechungsbehandlung in BS auf die Echtzeitfähigkeit des Gesamtsystems werden detailliert auf Basis von Modellen dieses Subsystems in verschiedenen BS analysiert. Um eine formale Auswertung zu erlauben, wird eine auf den Anwendungsfall zugeschnittene formale Methode zur BS-Modellierung verwendet. Die spezifizierte Syntax und Semantik dieses Engineering Statechart Formalism (ESF) basieren auf dem klassischen Statechart-Formalismus. Da bislang kein geeigneter Echtzeit-Begriff existiert, wird eine konsistente Definition hergeleitet. Durch die Abbildung dieser sich auf das Gesamtsystem beziehenden Eigenschaft auf die Unterbrechungsbehandlung werden spezifische Indikatoren für dieses Subsystem hergeleitet. Die Ausprägungen dieser Indikatoren für die verschiedenen untersuchten Betriebssyteme werden anhand formaler Methoden wie graphbasierter Analyse und Temporal Logic Model Checking ausgewertet. Die Interpretation der Untersuchungsergebnisse liefert Aussagen über die Effekte der Implementierung der Unterbrechungsbehandlung auf die Echtzeitfähigkeit der untersuchten Betriebssysteme bei der Verarbeitung von multimedialen Daten

Analysis of communication topologies by partner abstraction

Dynamic communication systems are hard to verify due to inherent unboundedness. Unbounded creation and destruction of objects and a dynamically evolving communication topology are characteristic features. Prominent examples include traffic control systems based on wireless communication and ad hoc networks. As dynamic communication systems have to meet safety-critical requirements, this thesis develops appropriate specification and verification techniques for them. It is shown that earlier attempts at doing so have failed. Partner graph grammars are presented as an adequate specification formalism for dynamic communication systems. They form a novel variant of the single pushout approach to algebraic graph transformation equipped with a special kind of negative application conditions: Partner constraints that allow to reason about communication partners are specifically tailored to dynamic communication systems. A novel verification technique based on abstract interpretation of partner graph grammars is proposed. It is based on a two-layered abstraction that keeps precise information about objects and the kinds of their communication partners. The analysis is formally proven sound. Some statically checkable cases are defined for which the analysis results are even complete. The analysis has been implemented in the hiralysis tool. A complex case study - car platooning originally developed in the California PATH project - is modeled using partner graph grammars. An experimental evaluation using the tool discovered many flaws in the PATH specification of car platooning that had not been discovered earlier due to insufficient specification and verification methods. Many interesting properties can be automatically proven for a corrected implementation of car platooning using hiralysis.Aufgrund ihres unbeschränkten Verhaltens sind dynamisch kommunizierende Systeme schwierig zu verifizieren. Sie zeichnen sich durch unbegrenztes Erzeugen und Zerstören von Objekten sowie eine sich ständig ändernde Kommunikationstopologie aus. Funkbasierte Verkehrskontrollsysteme und drahtlose Ad-hoc Netzwerke sind bekannte Beispiele dynamisch kommunizierender Systeme. Da diese außerdem sicherheitskritischen Anforderungen genügen müssen, werden in dieser Arbeit Spezifikations- und Verifikationsmethoden für dynamisch kommunizierende Systeme entwickelt. Es wird gezeigt, dass frühere Versuche in dieser Richtung fehlgeschlagen sind. Partner-Graphgrammatiken stellen einen geeigneten Formalismus zur Beschreibung solcher Systeme dar. Sie bilden eine neue Form des "single pushout" Ansatzes für algebraische Graphtransformationen erweitert um besondere negative Anwendungsbedingungen. "Partner constraints", die speziell für die Spezifikation dynamisch kommunizierender Systeme entwickelt wurden, erlauben, Nebenbedingungen an Objekte und ihre Kommunikationspartner zu formulieren. Es wird eine neuartige Verifikationstechnik vorgeschlagen, die auf der abstrakten Interpretation von Partner-Graphgrammatiken beruht. Diese fußt auf einer Abstraktion, die präzise Informationen über Objekte und ihre Kommunikationspartner erhält. Die Analyse wird korrekt bewiesen, und es werden statisch erkennbare Fälle aufgezeigt, in denen die Analyse sogar vollständige Resultate liefert. Die Analyse wurde in dem hiralysis Werkzeug implementiert. Eine komplexe Fallstudie - "car platooning", welche ursprünglich im Rahmen des California PATH Projektes entwickelt wurde - wird durch Partner-Graphgrammatiken modelliert. Eine experimentelle Auswertung mithilfe desWerkzeugs deckte zahlreiche Fehler in der ursprünglichen Modellierung auf, welche ihre Ursache in unzureichenden Spezifikations- und Verifikationsmethoden haben. Viele interessante Eigenschaften eines verbesserten Modells konnten mittels hiralysis automatisch bewiesen werden

Programming Languages and Systems

This open access book constitutes the proceedings of the 29th European Symposium on Programming, ESOP 2020, which was planned to take place in Dublin, Ireland, in April 2020, as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2020. The actual ETAPS 2020 meeting was postponed due to the Corona pandemic. The papers deal with fundamental issues in the specification, design, analysis, and implementation of programming languages and systems

Foundations of Software Science and Computation Structures

This open access book constitutes the proceedings of the 23rd International Conference on Foundations of Software Science and Computational Structures, FOSSACS 2020, which took place in Dublin, Ireland, in April 2020, and was held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2020. The 31 regular papers presented in this volume were carefully reviewed and selected from 98 submissions. The papers cover topics such as categorical models and logics; language theory, automata, and games; modal, spatial, and temporal logics; type theory and proof theory; concurrency theory and process calculi; rewriting theory; semantics of programming languages; program analysis, correctness, transformation, and verification; logics of programming; software specification and refinement; models of concurrent, reactive, stochastic, distributed, hybrid, and mobile systems; emerging models of computation; logical aspects of computational complexity; models of software security; and logical foundations of data bases.

Foundations of Software Science and Computation Structures

This open access book constitutes the proceedings of the 23rd International Conference on Foundations of Software Science and Computational Structures, FOSSACS 2020, which took place in Dublin, Ireland, in April 2020, and was held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2020. The 31 regular papers presented in this volume were carefully reviewed and selected from 98 submissions. The papers cover topics such as categorical models and logics; language theory, automata, and games; modal, spatial, and temporal logics; type theory and proof theory; concurrency theory and process calculi; rewriting theory; semantics of programming languages; program analysis, correctness, transformation, and verification; logics of programming; software specification and refinement; models of concurrent, reactive, stochastic, distributed, hybrid, and mobile systems; emerging models of computation; logical aspects of computational complexity; models of software security; and logical foundations of data bases.

IST Austria Thesis

Designing and verifying concurrent programs is a notoriously challenging, time consuming, and error prone task, even for experts. This is due to the sheer number of possible interleavings of a concurrent program, all of which have to be tracked and accounted for in a formal proof. Inventing an inductive invariant that captures all interleavings of a low-level implementation is theoretically possible, but practically intractable. We develop a refinement-based verification framework that provides mechanisms to simplify proof construction by decomposing the verification task into smaller subtasks. In a first line of work, we present a foundation for refinement reasoning over structured concurrent programs. We introduce layered concurrent programs as a compact notation to represent multi-layer refinement proofs. A layered concurrent program specifies a sequence of connected concurrent programs, from most concrete to most abstract, such that common parts of different programs are written exactly once. Each program in this sequence is expressed as structured concurrent program, i.e., a program over (potentially recursive) procedures, imperative control flow, gated atomic actions, structured parallelism, and asynchronous concurrency. This is in contrast to existing refinement-based verifiers, which represent concurrent systems as flat transition relations. We present a powerful refinement proof rule that decomposes refinement checking over structured programs into modular verification conditions. Refinement checking is supported by a new form of modular, parameterized invariants, called yield invariants, and a linear permission system to enhance local reasoning. In a second line of work, we present two new reduction-based program transformations that target asynchronous programs. These transformations reduce the number of interleavings that need to be considered, thus reducing the complexity of invariants. Synchronization simplifies the verification of asynchronous programs by introducing the fiction, for proof purposes, that asynchronous operations complete synchronously. Synchronization summarizes an asynchronous computation as immediate atomic effect. Inductive sequentialization establishes sequential reductions that captures every behavior of the original program up to reordering of coarse-grained commutative actions. A sequential reduction of a concurrent program is easy to reason about since it corresponds to a simple execution of the program in an idealized synchronous environment, where processes act in a fixed order and at the same speed. Our approach is implemented the CIVL verifier, which has been successfully used for the verification of several complex concurrent programs. In our methodology, the overall correctness of a program is established piecemeal by focusing on the invariant required for each refinement step separately. While the programmer does the creative work of specifying the chain of programs and the inductive invariant justifying each link in the chain, the tool automatically constructs the verification conditions underlying each refinement step

Automated Reasoning

This volume, LNAI 13385, constitutes the refereed proceedings of the 11th International Joint Conference on Automated Reasoning, IJCAR 2022, held in Haifa, Israel, in August 2022. The 32 full research papers and 9 short papers presented together with two invited talks were carefully reviewed and selected from 85 submissions. The papers focus on the following topics: Satisfiability, SMT Solving,Arithmetic; Calculi and Orderings; Knowledge Representation and Jutsification; Choices, Invariance, Substitutions and Formalization; Modal Logics; Proofs System and Proofs Search; Evolution, Termination and Decision Prolems. This is an open access book