By Edsger W. Dijkstra (auth.), Manfred Broy, Gunther Schmidt (eds.)
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Additional info for Theoretical Foundations of Programming Methodology: Lecture Notes of an International Summer School, directed by F. L. Bauer, E. W. Dijkstra and C. A. R. Hoare
C 1S used to indicate which one. r The stack satisfies invariants (i) and (ii): (i) Node p is the first node on the stack, and node V is the last. s is its successor. s O = x. (v) p. So (vi) = t. The final two invariants, (vii) and (viii), keep track of the marking of nodes: (vii) (viii) All stack nodes are marked. Every marked node not on the stack has both its successor nodes marked. m. The above eight facts describe the behaviour of the SchorrWaite algorithm. Facts (i) to (vii) are used in the structural proof; they are gathered into formal invariants PO, Pl and P2 below (the notation of the preceding paper is used).
Theme. nt 111); mo~e. y and omitting the. 6o~a! 6 n .... , I" , .. ~, '-' .. ".... - r - -Ir- .... --T ....... A GENERAL AXIOM OF ASSIGNMENT Joseph M. Morris Dept. of Computer Science, Trinity College, Dublin 2. 1. INTRODUCTION The axiomatic method of Floyd (1] and Hoare  has become the most popular formal method for reasoning about programs. Axiomatic semantics, more or less complete, exist for various programming languages [3, 4] and the method is widely used in deriving and verifying programs.
On the other hand we know that a chain of program transformations is so close to a mechanically verifiable proof that it 6eems vain to hope to prove any "deep" theorems this way. ) It is possibly no more than an occasionally 22 E. W. DIJKSTRA neat way of formulating an otherwise not unusual mathematical argument. 23 Theme IV. (J. MOMM) The. Mme. theme. nt 111); mo~e. y and omitting the. 6o~a! 6 n .... , I" , .. ~, '-' .. ".... - r - -Ir- .... --T ....... A GENERAL AXIOM OF ASSIGNMENT Joseph M. Morris Dept.
Theoretical Foundations of Programming Methodology: Lecture Notes of an International Summer School, directed by F. L. Bauer, E. W. Dijkstra and C. A. R. Hoare by Edsger W. Dijkstra (auth.), Manfred Broy, Gunther Schmidt (eds.)