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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 1754 (4 self) - Add to MetaCart
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 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.

An axiomatic basis for communication

by Martin Karsten, S. Keshav, Sanjiva Prasad - In Proceedings of HotNets 2006 , 2007
"... The de-facto service architecture of today’s communication networks lacks a well-defined and coherent theoretical foundation. With layering as the only means for functional abstraction, the diversity of current technologies cannot be expressed consistently and analyzed properly. In this paper, we pr ..."
Abstract - Cited by 20 (1 self) - Add to MetaCart
present an axiomatic formulation of fundamental mechanisms in communication networks. In particular, we reconcile the existing but somewhat fuzzy concepts of naming and addressing and present a consistent set of primitives that are sufficient to compose communication services. The long-term goal

An Axiomatic Basis for Designing Interactive Systems

by Srinath Srinivasa, Raghunandan
"... An interactive process involves at least two participating actors. None of the actors have complete control over the process. Designing software systems that offer interactive services are especially hard since the system does not have complete control over its processes. They have to respond to sti ..."
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to stimuli from one or more environments effectively, without compromising the integrity of the system. This paper presents an axiomatic basis on which integrity constraints over concurrent interactive dynamics can be formally specified and resolved. Formalization of constraints help in automating the task

Some non-standard interpretations of the axiomatic basis of Le´sniewski’s Ontology

by Rafał Urbaniak, Received Greg Restall, C Rafał Urbaniak , 2006
"... Abstract:We propose an intuitive understanding of the statement: ‘an axiom (or: an axiomatic basis) determines the meaning of the only specific constant occurring in it. ’ We introduce some basic semantics for functors ..."
Abstract - Cited by 1 (1 self) - Add to MetaCart
Abstract:We propose an intuitive understanding of the statement: ‘an axiom (or: an axiomatic basis) determines the meaning of the only specific constant occurring in it. ’ We introduce some basic semantics for functors

Actions and Events in Interval Temporal Logic,"

by James F Allen , George Ferguson - Journal of Logic and Computation, , 1994
"... Abstract We present a representation of events and action based on interval temporal logic that is significantly more expressive and more natural than most previous AI approaches. The representation is motivated by work in natural language semantics and discourse, temporal logic, and AI planning an ..."
Abstract - Cited by 309 (7 self) - Add to MetaCart
and plan recognition. The formal basis of the representation is presented in detail, from the axiomatization of time periods to the relationship between actions and events and their effects. The power of the representation is illustrated by applying it to the axiomatization and solution of several standard

An axiomatic study of infinite basis

by David De Frutos Escrig, Carlos Gregorio Rodríguez, Miguel Palomino
"... Abstract. We present a new technique for studying the w-axiomatizability of the semantics in the ltbt-spectrum. Although Fokkink et al. have recently solved most of the problems still open, our main goal is to shed light on them, and to simply and unify their proofs. Besides, we will focus on preord ..."
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Abstract. We present a new technique for studying the w-axiomatizability of the semantics in the ltbt-spectrum. Although Fokkink et al. have recently solved most of the problems still open, our main goal is to shed light on them, and to simply and unify their proofs. Besides, we will focus on preorders (and make a fundamental use of the axiom for ready simulation semantics) instead of equivalences, since they give rise to much simpler proofs. 1

Axiomatic Foundations of Thermostatics

by G. Puccini, S. Perez Bergliaffa, H. Vucetich , 2008
"... A realistic and objective axiomatic formulation of Thermostatics for composite systems is presented. The main feature of our axiomatics is that it is free of empirical definitions. In particular, the basic concepts of the theory, such as those of entropy, heat and temperature, are characterized only ..."
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only by the axiomatic basis and the theorems derived from it. We also show that the concept of (quasi)static process does not belong to the body of Thermostatics. pacs: 05.70, 01.70.+w

Reasoning about beliefs and actions under computational resource constraints

by Eric J. Horvitz - in Proceedings of the 1989 Workshop on Uncertainty and AI , 1987
"... Although many investigators arm a desire to build reasoning systems that behave consistently with the axiomatic basis dened by probability theory and utility theory, limited resources for engineering and computation can make a complete normative anal-ysis impossible. We attempt to move discussion be ..."
Abstract - Cited by 219 (22 self) - Add to MetaCart
Although many investigators arm a desire to build reasoning systems that behave consistently with the axiomatic basis dened by probability theory and utility theory, limited resources for engineering and computation can make a complete normative anal-ysis impossible. We attempt to move discussion

Axiomatic Foundations for Satisficing Behavior

by Christopher J. Tyson , 2005
"... A theory of decision making is proposed that supplies an axiomatic basis for the concept of “satisficing” postulated by Herbert Simon. After a detailed review of classical results that characterize several varieties of preference-maximizing choice behavior, the axiomatization proceeds by weakening t ..."
Abstract - Cited by 1 (0 self) - Add to MetaCart
A theory of decision making is proposed that supplies an axiomatic basis for the concept of “satisficing” postulated by Herbert Simon. After a detailed review of classical results that characterize several varieties of preference-maximizing choice behavior, the axiomatization proceeds by weakening

- Naive- Axiomatic

by unknown authors
"... “A set may be viewed as any well-defined collection of objects; the objects are called the elements or members of the set.” “The concept of a set appears in all branches of mathematics. This concept formalizes the idea of grouping objects together and viewing them as a single entity.” Seymour Lipsch ..."
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, based on a precise set of axioms. However, it is possible to develop the theory of set considerably without any knowledge of those axioms…The concept of a ‘set of objects ’ is a very intuitive one, and, with care, considerable, sound progress may be made on the basis of this intuition alone.”
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