# Nondeterministic Algorithms

@article{Floyd1967NondeterministicA, title={Nondeterministic Algorithms}, author={Robert W. Floyd}, journal={J. ACM}, year={1967}, volume={14}, pages={636-644} }

Programs to solve combinatorial search problems may often be simply written by using multiple-valued functions. Such programs, although impossible to execute directly on conventional computers, may be converted in a mechanical way into conventional backtracking programs. The process is illustrated with algorithms to find all solutions to the eight queens problem on the chessboard, and to find all simple cycles in a network.

## 325 Citations

A procedure mechanism for backtrack programming

- Computer ScienceACM '76
- 1976

A procedure mechanism that uses coroutines as a means for the description and realization of nondeterministic algorithms and a solution to the eight queens problem is given to illustrate the application of the procedure mechanism to backtracking problems.

Teaching Nondeterminism

- Computer ScienceSIGACT News
- 2021

A plan that starts with a new abstraction of nondeterminism is given that uses the use of pseudo-code augmented by a new construct to make it easier to follow.

Different perspectives of the N-Queens problem

- Mathematics, Computer ScienceCSC '92
- 1992

This work classifies the algorithms for the N-Queens problem into 3 categories, and introduces several definitions of the problem, and reviews some of the algorithms.

Non-deterministic programming

- Computer Science
- 1967

An alternative method is suggested and results obtained from an experimental implementation of R. W. Floyd's inclusion of additional features in present programming languages to be able to express in a convenient way algorithms based on the technique of backtrack described by Golomb and Baumert (1965).

An Execution Mechanism for Nondeterministic, State-Oriented Programs Based on a Chart Parser

- Computer ScienceInf. Process. Lett.
- 1993

POPS: An Application of Heuristic Search Methods to the Processing of a Nondeterministic Programming Language

- Computer ScienceIJCAI
- 1973

POPS is a processor for a simple nondeterministic programming language, PSL, that contains the goal-directed methods developed by Fikes in his program REF-ARF and applies methods borrowed from GPS to solve the problem.

A search strategy for the elementary cycles of a directed graph

- Mathematics, Computer Science
- 1976

A new backtracking algorithm is proposed which is bounded byO(N +M(C + 1) time, for a directed graph withN vertices,M edges andC elementary cycles.

Control Structure Abstractions of the Backtracking Programming Technique

- Computer ScienceIEEE Transactions on Software Engineering
- 1976

Control structure abstraction in the context of correctness is that proofs of general properties of a class of programs with similar control structures are separated from proofs of specific properties of individual programs of the class.

An interpreter for a nondeterministic language

- Computer ScienceInternational Journal of Computer & Information Sciences
- 2004

This paper provides a top-down description of an interpreter for a nucleus of a simple nondeterministic language designed to be utilized in computer aided problem-solving. The given description can…

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