specification, and use of a loop invariant are useful and underutilized tools in writing code to solve a problem or implement an algorithm. Invariants are especially useful in introductory courses (CS1 and CS2) but are usually avoided because of the mathematical notation associated with them and because most textbooks have brief, if any, coverage of them. Our intent in this paper is provide several motivating examples of the use of pictures as loop invariants and to provide pointers to literature that more fully explores and develops the ideas of using loop invariants in specifying and developing programs.
Since their introduction more than four decades ago, invariant assertions have, justiably, dominated...
textLoop invariants have traditionally been used in proofs of correctness (e.g. program verification...
Checking whether a given formula is an invariant at a given program location (especially, inside a l...
The development, specication, and use of a loop invariant are useful and underutilized tools in writ...
peer reviewedThis paper focuses on a programming methodology relying on an informal and graphical ve...
Many groups around the world conduct research on formal methods for software development, and in mos...
This paper introduces the use of Graphical Loop Invariant as a programming methodology in a CS1 cour...
The by-now-standard strategy for developing a loop invariant and loop was developed in [1] and expl...
AbstractA by-now-standard strategy for developing a loop invariant and loop was developed in [1] and...
We are surrounded by computers and it is therefore logical that industry is increasingly demanding e...
Acceleration is a technique for summarising loops by computing a closed-form representation of the l...
Abstract—Acceleration is a technique for summarising loops by computing a closed-form representation...
AbstractWhereas the analysis of loops in imperative programs is, justifiably, dominated by the conce...
Any non-trivial program contains loop control structures such as while, for and do statements. A for...
Invariants are a standard concept for reasoning about unbounded loops since Floyd-Hoare logic in the...
Since their introduction more than four decades ago, invariant assertions have, justiably, dominated...
textLoop invariants have traditionally been used in proofs of correctness (e.g. program verification...
Checking whether a given formula is an invariant at a given program location (especially, inside a l...
The development, specication, and use of a loop invariant are useful and underutilized tools in writ...
peer reviewedThis paper focuses on a programming methodology relying on an informal and graphical ve...
Many groups around the world conduct research on formal methods for software development, and in mos...
This paper introduces the use of Graphical Loop Invariant as a programming methodology in a CS1 cour...
The by-now-standard strategy for developing a loop invariant and loop was developed in [1] and expl...
AbstractA by-now-standard strategy for developing a loop invariant and loop was developed in [1] and...
We are surrounded by computers and it is therefore logical that industry is increasingly demanding e...
Acceleration is a technique for summarising loops by computing a closed-form representation of the l...
Abstract—Acceleration is a technique for summarising loops by computing a closed-form representation...
AbstractWhereas the analysis of loops in imperative programs is, justifiably, dominated by the conce...
Any non-trivial program contains loop control structures such as while, for and do statements. A for...
Invariants are a standard concept for reasoning about unbounded loops since Floyd-Hoare logic in the...
Since their introduction more than four decades ago, invariant assertions have, justiably, dominated...
textLoop invariants have traditionally been used in proofs of correctness (e.g. program verification...
Checking whether a given formula is an invariant at a given program location (especially, inside a l...