1,568 research outputs found
Fifty years of Hoare's Logic
We present a history of Hoare's logic.Comment: 79 pages. To appear in Formal Aspects of Computin
Fair termination revisited - with delay
AbstractA proof method for establishing the fair termination and total correctness of both nondeterministic and concurrent programs is presented. The method calls for the extension of state by auxiliary delay variables which count down to the instant in which certain action will be scheduled. It then uses well-founded ranking to prove fair termination allowing nested fair selection and loops
Nondeterminism and Guarded Commands
The purpose of this paper is to discuss the relevance of nondeterminism in
computer science, with a special emphasis on Dijkstra's guarded commands
language.Comment: 34 pages. This is authors' version of Chapter 8 of the book K.R. Apt
and C.A.R. Hoare (editors), Edsger Wybe Dijkstra: His Life, Work, and Legacy,
volume 45 of ACM Books. ACM/Morgan & Claypool, 202
Visibly Pushdown Modular Games
Games on recursive game graphs can be used to reason about the control flow
of sequential programs with recursion. In games over recursive game graphs, the
most natural notion of strategy is the modular strategy, i.e., a strategy that
is local to a module and is oblivious to previous module invocations, and thus
does not depend on the context of invocation. In this work, we study for the
first time modular strategies with respect to winning conditions that can be
expressed by a pushdown automaton.
We show that such games are undecidable in general, and become decidable for
visibly pushdown automata specifications.
Our solution relies on a reduction to modular games with finite-state
automata winning conditions, which are known in the literature.
We carefully characterize the computational complexity of the considered
decision problem. In particular, we show that modular games with a universal
Buchi or co Buchi visibly pushdown winning condition are EXPTIME-complete, and
when the winning condition is given by a CARET or NWTL temporal logic formula
the problem is 2EXPTIME-complete, and it remains 2EXPTIME-hard even for simple
fragments of these logics.
As a further contribution, we present a different solution for modular games
with finite-state automata winning condition that runs faster than known
solutions for large specifications and many exits.Comment: In Proceedings GandALF 2014, arXiv:1408.556
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