An observationally complete program logic for imperative higher-order functions

We establish a strong completeness property called observational completeness of the program logic for imperative, higher-order functions introduced in [1]. Observational completeness states that valid assertions characterise program behaviour up to observational congruence, giving a precise correspondence between operational and axiomatic semantics. The proof layout for the observational completeness which uses a restricted syntactic structure called finite canonical forms originally introduced in game-based semantics, and characteristic formulae originally introduced in the process calculi, is generally applicable for a precise axiomatic characterisation of more complex program behaviour, such as aliasing and local state

Computer Aided Verification

The open access two-volume set LNCS 11561 and 11562 constitutes the refereed proceedings of the 31st International Conference on Computer Aided Verification, CAV 2019, held in New York City, USA, in July 2019. The 52 full papers presented together with 13 tool papers and 2 case studies, were carefully reviewed and selected from 258 submissions. The papers were organized in the following topical sections: Part I: automata and timed systems; security and hyperproperties; synthesis; model checking; cyber-physical systems and machine learning; probabilistic systems, runtime techniques; dynamical, hybrid, and reactive systems; Part II: logics, decision procedures; and solvers; numerical programs; verification; distributed systems and networks; verification and invariants; and concurrency

A type-theoretic framework for software component synthesis

A language-agnostic approach for type-based component-oriented software synthesis is developed from the fundamental principles of abstract algebra and Combinatory Logic. It relies on an enumerative type inhabitation algorithm for Finite Combinatory Logic with Intersection Types (FCL) and a universal algebraic construction to translate terms of Combinatory Logic into any given target language. New insights are gained on the combination of semantic domains of discourse with intersection types. Long standing gaps in the algorithmic understanding of the type inhabitation question of FCL are closed. A practical implementation is developed and its applications by the author and other researchers are discussed. They include, but are not limited to, vast improvements in the context of synthesis of software product line members. An interactive theorem prover, Coq, is used to formalize and check all the theoretical results. This makes them more reusable for other developments and enhances confidence in their correctness.Es wird ein sprachunabhängiger Ansatz für die typbasierte und komponentenorientierte Synthese von Software entwickelt. Hierzu werden grundlegende Erkenntnisse über abstrakte Algebra und kombinatorische Logik verwendet. Der Ansatz beruht auf dem enumerativen Typinhabitationsproblem der endlichen kombinatorischen Logik mit Intersektionstypen, sowie einer universellen algebraischen Konstruktion, um Ergebnisterme in jede beliebe Zielsprache übersetzen zu können. Es werden neue Einblicke gewonnen, wie verschiedene semantische Domänen des Diskurses über Softwareeigenschaften miteinander verbunden werden können. Offene Fragestellungen im Zusammenhand mit der Algorithmik des Typinhabitationsproblems für Intersektionstypen werden beantwortet. Eine praktische Implementierung des Ansatzes wird entwickelt und ihre bisherigen Anwendungen durch den Autor und andere Wissenschaftler werden diskutiert. Diese beinhalten starke Verbesserungen im Zusammenhang mit der Synthese von Ausprägungen von Software Produktlinien. Ein interaktiver Theorembeweiser wir genutzt, um alle Ergebnisse der Arbeit zu formalisieren und mechanisch zu überprüfen. Dies trägt zum einen zur Wiederverwendbarkeit der theoretischen Ergebnisse in anderen Kontexten bei, und erhöht zum andern das Vertrauen in ihre Korrektheit

Automated Deduction – CADE 28

This open access book constitutes the proceeding of the 28th International Conference on Automated Deduction, CADE 28, held virtually in July 2021. The 29 full papers and 7 system descriptions presented together with 2 invited papers were carefully reviewed and selected from 76 submissions. CADE is the major forum for the presentation of research in all aspects of automated deduction, including foundations, applications, implementations, and practical experience. The papers are organized in the following topics: Logical foundations; theory and principles; implementation and application; ATP and AI; and system descriptions

Denotational proof languages

Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2000.Includes bibliographical references (p. [417]-421).by Konstantinos Arkoudas.Ph.D