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The knowledge complexity of interactive proof systems

by Shafi Goldwasser, Silvio Micali, Charles Rackoff - in Proc. 27th Annual Symposium on Foundations of Computer Science , 1985
"... Abstract. Usually, a proof of a theorem contains more knowledge than the mere fact that the theorem is true. For instance, to prove that a graph is Hamiltonian it suffices to exhibit a Hamiltonian tour in it; however, this seems to contain more knowledge than the single bit Hamiltonian/non-Hamiltoni ..."
Abstract - Cited by 1267 (42 self) - Add to MetaCart
/non-Hamiltonian. In this paper a computational complexity theory of the "knowledge " contained in a proof is developed. Zero-knowledge proofs are defined as those proofs that convey no additional knowledge other than the correctness of the proposition in question. Examples of zero-knowledge proof systems are given

Strategy-Proofness and Arrow’s Conditions: Existence and Correspondence Theorems for Voting Procedures and Social Welfare Functions

by Mark Allen Satterthwaite - J. Econ. Theory , 1975
"... Consider a committee which must select one alternative from a set of three or more alternatives. Committee members each cast a ballot which the voting procedure counts. The voting procedure is strategy-proof if it always induces every committee member to cast a ballot revealing his preference. I pro ..."
Abstract - Cited by 542 (0 self) - Add to MetaCart
Consider a committee which must select one alternative from a set of three or more alternatives. Committee members each cast a ballot which the voting procedure counts. The voting procedure is strategy-proof if it always induces every committee member to cast a ballot revealing his preference. I

Hierarchical correctness proofs for distributed algorithms

by Nancy A. Lynch, Mark R. Tuttle , 1987
"... Abstract: We introduce the input-output automaton, a simple but powerful model of computation in asynchronous distributed networks. With this model we are able to construct modular, hierarchical correctness proofs for distributed algorithms. We de ne this model, and give aninteresting example of how ..."
Abstract - Cited by 439 (66 self) - Add to MetaCart
Abstract: We introduce the input-output automaton, a simple but powerful model of computation in asynchronous distributed networks. With this model we are able to construct modular, hierarchical correctness proofs for distributed algorithms. We de ne this model, and give aninteresting example

A Framework for Defining Logics

by Robert Harper , Furio Honsell, Gordon Plotkin - JOURNAL OF THE ASSOCIATION FOR COMPUTING MACHINERY , 1993
"... The Edinburgh Logical Framework (LF) provides a means to define (or present) logics. It is based on a general treatment of syntax, rules, and proofs by means of a typed -calculus with dependent types. Syntax is treated in a style similar to, but more general than, Martin-Lof's system of ariti ..."
Abstract - Cited by 807 (45 self) - Add to MetaCart
The Edinburgh Logical Framework (LF) provides a means to define (or present) logics. It is based on a general treatment of syntax, rules, and proofs by means of a typed -calculus with dependent types. Syntax is treated in a style similar to, but more general than, Martin-Lof's system

An axiomatic basis for computer programming

by C. A. R. Hoare - COMMUNICATIONS OF THE ACM , 1969
"... In this paper an attempt is made to explore the logical founda-tions of computer programming by use of techniques which were first applied in the study of geometry and have later been extended to other branches of mathematics. This in-volves the elucidation of sets of axioms and rules of inference w ..."
Abstract - Cited by 1745 (4 self) - Add to MetaCart
which can be used in proofs of the properties of computer programs. Examples are given of such axioms and rules, and a formal proof of a simple theorem is displayed. Finally, it is argued that important advantages, both theoretical and prac-tical, may follow from a pursuance of these topics.

Sprite: A Simple, Cheat-Proof, Credit-Based System for Mobile Ad-Hoc Networks

by Sheng Zhong, Jiang Chen, Richard Yang - in Proceedings of IEEE INFOCOM , 2002
"... Mobile ad hoc networking has been an active research area for several years. How to stimulate cooperation among selfish mobile nodes, however, is not well addressed yet. In this paper, we propose Sprite, a simple, cheat-proof, creditbased system for stimulating cooperation among selfish nodes in mob ..."
Abstract - Cited by 473 (18 self) - Add to MetaCart
Mobile ad hoc networking has been an active research area for several years. How to stimulate cooperation among selfish mobile nodes, however, is not well addressed yet. In this paper, we propose Sprite, a simple, cheat-proof, creditbased system for stimulating cooperation among selfish nodes

Discriminative Training Methods for Hidden Markov Models: Theory and Experiments with Perceptron Algorithms

by Michael Collins , 2002
"... We describe new algorithms for training tagging models, as an alternative to maximum-entropy models or conditional random fields (CRFs). The algorithms rely on Viterbi decoding of training examples, combined with simple additive updates. We describe theory justifying the algorithms through a modific ..."
Abstract - Cited by 641 (16 self) - Add to MetaCart
We describe new algorithms for training tagging models, as an alternative to maximum-entropy models or conditional random fields (CRFs). The algorithms rely on Viterbi decoding of training examples, combined with simple additive updates. We describe theory justifying the algorithms through a

New results in linear filtering and prediction theory

by R. E. Kalman, R. S. Bucy - Trans. ASME, Ser. D, J. Basic Eng , 1961
"... A nonlinear differential equation of the Riccati type is derived for the covariance matrix of the optimal filtering error. The solution of this "variance equation " completely specifies the optimal filter for either finite or infinite smoothing intervals and stationary or nonstationary sta ..."
Abstract - Cited by 585 (0 self) - Add to MetaCart
in this field. The Duality Principle relating stochastic estimation and deterministic control problems plays an important role in the proof of theoretical results. In several examples, the estimation problem and its dual are discussed side-by-side. Properties of the variance equation are of great interest

PVS: A Prototype Verification System

by S. Owre, J. M. Rushby, N. Shankar - CADE , 1992
"... PVS is a prototype system for writing specifications and constructing proofs. Its development has been shaped by our experiences studying or using several other systems and performing a number of rather substantial formal verifications (e.g., [5,6,8]). PVS is fully implemented and freely available. ..."
Abstract - Cited by 654 (16 self) - Add to MetaCart
PVS is a prototype system for writing specifications and constructing proofs. Its development has been shaped by our experiences studying or using several other systems and performing a number of rather substantial formal verifications (e.g., [5,6,8]). PVS is fully implemented and freely available

The Semantics of Predicate Logic as a Programming Language

by M. H. Van Emden, R. A. Kowalski - Journal of the ACM , 1976
"... ABSTRACT Sentences in first-order predicate logic can be usefully interpreted as programs In this paper the operational and fixpomt semantics of predicate logic programs are defined, and the connections with the proof theory and model theory of logic are investigated It is concluded that operational ..."
Abstract - Cited by 810 (18 self) - Add to MetaCart
ABSTRACT Sentences in first-order predicate logic can be usefully interpreted as programs In this paper the operational and fixpomt semantics of predicate logic programs are defined, and the connections with the proof theory and model theory of logic are investigated It is concluded
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