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A formal system of logic

Journal of Symbolic Logic, 1950
The main purpose of this paper is to present a formal systemPin which we enjoy a smooth-running technique and which countenances a universe of classes which is symmetrical as between large and small. More exactly,Pis a system which differs from the inconsistent system of [1] only in the introduction of a rather natural new restrictive condition on the ...
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Models of logical systems

Journal of Symbolic Logic, 1948
The purpose of this paper is to show that some of the difficulties confronting logicians are caused by too narrow an interpretation of the function of mathematical logic. I hope to show that very fruitful results can be obtained by considering a much wider range of problems than usually found in the literature.I believe that the function of ...
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Logic Design System

Proceedings of the June 1971 design automation workshop on Design automation - DAC '71, 1971
The Logic Design System (LDS) is a set of FORTRAN Computer programs that convert Boolean equations and component descriptions into logic diagrams, parts lists, board layouts, wiring lists, and diagnostic data. This system decreases the cost of digital design work and eliminates errors that could be introduced by manual methods.
Frederick G. Linnemann, Carl E. Minich
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Logic Information Systems for Logic Programmers

2003
Logic Information Systems (lis) use logic in a uniform way to describe their contents, to query it, to navigate through it, to analyze it, and to update it. They can be given an abstract specification that does not depend on the choice of a particular logic, and concrete instances can be obtained by instantiating this specification with a particular ...
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Logical Systems and Formality

2000
The question is posed: in which respects and to what extent are logical systems which employ diagrammatic representations "formal"? I propose to characterize "formal" rules to be those which are reducible to simple constructive operations on the representations themselves. Formal systems, then, are those which employ such formal rules.
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An efficient logic emulation system

IEEE Transactions on Very Large Scale Integration (VLSI) Systems, 1992
The Realizer, a system which automatically configures a network of field-programmable gate arrays (FPGAs) to implement large digital logic designs, is presented. Logic and interconnect are separated to achieve optimum FPGA utilization. The interconnection architecture, called the partial crossbar, greatly reduces system-level placement and routing ...
Michael Butts   +2 more
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Logics of Complementarity in Information Systems

MLQ, 2000
Summary: Each information system (or data table) leads to a hierarchy of binary relations on the object set in a natural way; these relational systems can serve as frames for the semantics of modal logics. While relations of indiscernibility and their logics have been frequently studied, the situation in the case of relations which distinguish objects ...
Ivo Düntsch, Ewa Orlowska
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Łukasiewicz Logic: From Proof Systems To Logic Programming

Logic Journal of the IGPL, 2005
A basic goal-directed calculus for Łukasiewicz logic is introduced which is refined in order to improve efficiency and obtain termination for the calculus. The authors also propose an extension of the proof procedure based on rational Pavelka logic, in order to compute the maximal truth-value for which a goal is a logical consequence of a database.
G., Metcalfe   +2 more
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Logical Systems and the Principles of Logic

Philosophy of Science, 1942
Doubts concerning the validity of logic are as old as the empirical criticism of science. In the last two decades the idea that truth is relative to given sets of basic assumptions has been prominent; and the controversy about the principle of excluded middle has focussed renewed attention upon the nature of logic and its fundamental principles.Recent ...
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On the Logical System L1

Mathematical Logic Quarterly, 1986
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