Reasoning about Java classes

TL;DR: A Hoare-style programming logic for the sequential kernel of Java is presented, which handles recursive methods, class and interface types, subtyping, inheritance, dynamic and static binding, aliasing via object references, and encapsulation.

TL;DR: This paper gives a semantical underpinning for a many- sorted modal logic associated with certain dynamical systems, like tran- sition systems, automata or classes in object-oriented languages, as coalgebras of so-called polynomial func- tors, built up from constants and identities, using products, coproducts and powersets.

TL;DR: PVS is a comprehensive interactive tool for specification and verification combining cui expressive specification language with an integrated suite of tools for theorem proving and model checking.

TL;DR: The modular architecture of an interactive program prover that is currently developing for a Java subset is described, which discusses the integration of a programming language-specific prover component with a general purpose theorem prover.

TL;DR: The three basic notions of universal algebra: algebra, homomorphism of algebras, and congruence, turn out to correspond to: coalgebra, homomorphicism of coalgebrAs, and bisimulation, respectively, which are taken as the basic ingredients of a theory called universal coalgebra.

TL;DR: A logic for reasoning about object-oriented programs for a language with an imperative semantics and aliasing, and accounts for self-reference in objects is developed, much like a type system for objects with subtyping.

TL;DR: Objective ML allows for most features of object-oriented languages including multiple in- heritance, methods returning self and binary methods as well as parametric classes, and demonstrates that ob- jects can be added to strongly typed languages based on ML polymorphism.

TL;DR: In this article, the categorical dual construction of initial abstract data types is studied and the resulting terminal co-algebras represent not only an implementation independent semantics of infinite objects such as streams, but also a suitable formal basis for object types in the sense of the object-oriented programming paradigm.