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Browsing by Author "Gries, David"
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A New Approach to Teaching Mathematics
Gries, David; Schneider, Fred B. (Cornell University, 199402)We propose a new approach to teaching discrete math: First, teach logic as a powerful and versatile tool for discovering and communicating truths; then use this tool in all other topics of the course. We spend 6 weeks ... 


A Note on the Standard Strategy for Developing Loop Invariants and Loops
Gries, David (Cornell University, 198210)The bynowstandard strategy for developing a loop invariant and loop was developed in [1] and explained [2]. Nevertheless, its use still poses problems for some. The purpose of this note is to provide further explanation. ... 
On Presenting Monotonicity and On EA=>AE
Gries, David (Cornell University, 199504)Two independent topics are treated. First, the problem of weakening/strengthening steps in calculational proofs is discussed and a form of substantiating such steps is proposed. Second, a simple proof of (Ex R.x: (Ay ... 
Presenting an Algorithm to Find the Minimum Edit Distance
Gries, David; Burkhardt, Bill (Cornell University, 198803)ABSTRACT UNAVAILABLE 
A Procedure Call Proof Rule (With a Simple Explanation)
Gries, David; Levin, Gary Marc (Cornell University, 197905)NO ABSTRACT SUPPLIED 
Program Schemes with Pushdown Stores
Brown, Steven; Gries, David; Szymanski, Thomas G. (Cornell University, 197204)We attempt to characterize classes of schemes allowing pushdown stores, building on an earlier work by Constable and Gries [1]. We study the effect (on the computational power) of aloowing one, two, or more pushdown stores, ... 
Programming by Induction
Gries, David (Cornell University, 197109)A technique for creating programs, called programming by induction, is described. The term is used because of the similarity between programming by induction and proving a theorem by induction. 
Proving Properties of Parallel Programs: An Axiomatic Approach
Owicki, Susan S.; Gries, David (Cornell University, 197505)This paper presents an axiomatic technique for proving a number of properties of parallel programs. Hoare has given a set of axioms for partial correctness of parallel programs, but they are not strong enough in most ... 

The SevenEleven Problem
Pritchard, Paul; Gries, David (Cornell University, 198309)NO ABSTRACT SUPPLIED 
Some Ideas on Data Types in High Level Languages
Gries, David; Gehani, Narain (Cornell University, 197505)WE explore some new and old ideas concerning data types; what a data type is, overloading operators, when and how implicit conversions between programmer data types should be allowed and so forth. The current notion that ... 
Sorting and Searching Using Controlled Density Arrays
Melville, Robert C.; Gries, David (Cornell University, 197812)Algorithms like insertion sort run slowly because of costly shifting of array elements when a value is inserted or deleted. The amount of shifting, however, can be reduced by leaving gaps  unused array locations into ... 

Teaching Math More Effectively, Through the Design of Calculational Proofs
Gries, David; Schneider, Fred B. (Cornell University, 199403)Lowerlevel college math courses usually avoid using formalism, in both definitions and proofs. Later, when students have mastered definitions and proofs written largely in English, they may be shown how informal reasoning ... 
TraceBased Network Proof Systems: Expressiveness and Completeness
Widom, Jennifer; Gries, David; Schneider, Fred B. (Cornell University, 198902)We consider incomplete tracebased network proof systems for safety properties, identifying extensions that are necessary and sufficient to achieve relative completeness. We then consider the expressiveness required of ... 
Type Definitions in Polya
Volpano, Dennis M.; Gries, David (Cornell University, 199001)The programming language Polya maintains a clear separation between a type and its implementation through a new construct called the transform. Polya allows user to define their own data types and transforms to implement ... 
What Programmers Don't and Should Know
Gries, David (Cornell University, 198709)ABSTRACT UNAVAILABLE