There are a few different methods for formally proving that a program agrees with its specifica-tion. The first method we will examine is the invariant assertion method. The method was first proposed for flowcharts by Robert Floyd [3] and then adapted for program code by Tony Hoare [5]. Edsger

Invariant assertions play an important role in the analysis and documentation of while loops of imperative programs. Invariant functions and invariant relations are alternative analysis tools that are distinct from invariant assertions but are related to them. In this paper we discuss these three

Invariant assertions play an important role in the analysis and documentation of while loops of imperative programs. Invariant functions and invariant relations are alternative analysis tools that are distinct from invariant assertions but are related to them. In this paper we discuss these three

The problem of discovering invariant assertions of programs is explored in light of the fixpoint approach in the static analysis of programs, Cousot [1977a], Cousot[1977b].

and hence not guaranteed to be stable with respect to the passage of time (even if the program does not modify any of the variables under its control). Hence in order to reason about real-time programs, we make use of idle-invariant assertions: assertions that are invariant to just the passage of time.

There are a few different methods for formally proving that a program agrees with its specification. The first method we will examine is the Invariant Assertion method. The method was first proposed for flowcharts by Robert Floyd [Floyd 67] and then adapted for program code by Tony Hoare [Hoare 69

Verification of programs that use abstract data types (ADTs) is an important piece of the grand challenge of verified software. It is our position that an interactive proof assistant, such as Isabelle, used in a fully automated mode, can be an effective, extensible proof engine for use in the modular verification of software. As technical justification for this position, we describe the modular verification of two implementations of an extension to a queue ADT. One implementation is recursive, while the other is iterative and relies on a stack ADT. The correctness of the implementations is proved by Isabelle automatically, using specification theories from the Resolve mathematical library imported into Isabelle. Isabelle’s viability as a general-purpose VC prover is also discussed.

We present a new framework for verifying partial specifications of programs in order to catch type and memory errors and check data structure invariants. Our technique can verify a large class of data structures, namely all those that can be expressed as graph types. Earlier versions were

the verification. The paper overviews some of the exact and approximate analysis methods to generate and strengthen assertions for the verification of invariance properties. By formulating and analyzing a generic safety verification rule, we extend these methods to the verification of general temporal safety

Daikon is an implementation of dynamic detection of likely invariants; that is, the Daikon invariant detector reports likely program invariants. An invariant is a property that holds at a certain point or points in a program; these are often used in assert statements, documentation, and formal