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On Equivalents of Wellfoundedness  An experiment in Mizar
, 1998
"... Four statements equivalent to wellfoundedness (wellfounded induction, existence of recursively defined functions, uniqueness of recursively defined functions, and absence of descending omegachains) have been proved in Mizar and the proofs mechanically checked for correctness. It seems not to be w ..."
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Cited by 13 (3 self)
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Four statements equivalent to wellfoundedness (wellfounded induction, existence of recursively defined functions, uniqueness of recursively defined functions, and absence of descending omegachains) have been proved in Mizar and the proofs mechanically checked for correctness. It seems not to be widely known that the existence (without the uniqueness assumption) of recursively defined functions implies wellfoundedness. In the proof we used regular cardinals, a fairly advanced notion of set theory. The theory of cardinals in Mizar was developed earlier by G. Bancerek. With the current state of the Mizar system, the proofs turned out to be an exercise with only minor additions at the fundamental level. We would like to stress the importance of a systematic development of a mechanized data base for mathematics in the spirit of the QED Project.
A Formal Description of Verdi
, 1990
"... This paper will be most easily appreciated by the reader with some prior knowledge of Mathematical Logic [8, 19], Set Theory [11], and Denotational Semantics [9, 18, 20]. Verdi differs from its predecessor mVerdi [4] in several significant ways: ..."
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Cited by 10 (5 self)
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This paper will be most easily appreciated by the reader with some prior knowledge of Mathematical Logic [8, 19], Set Theory [11], and Denotational Semantics [9, 18, 20]. Verdi differs from its predecessor mVerdi [4] in several significant ways:
Interaction Modeling In Systems Design
, 2001
"... We present a simulation and design framework for simultaneously designing and modeling electromechanical systems. By instantiating component objects in our software and connecting them to each other via ports, the designer configures complex systems. ..."
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Cited by 2 (0 self)
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We present a simulation and design framework for simultaneously designing and modeling electromechanical systems. By instantiating component objects in our software and connecting them to each other via ports, the designer configures complex systems.