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Verifying Properties of Module Construction in Type Theory
 In Proc. MFCS'93, volume 711 of LNCS
, 1993
"... This paper presents a comparison between algebraic specificationsinthelarge and a type theoretical formulation of modular specifications, called deliverables. It is shown that the laws of module algebra can be translated to laws about deliverables which can be proved correct in type theory. The a ..."
Abstract

Cited by 6 (1 self)
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This paper presents a comparison between algebraic specificationsinthelarge and a type theoretical formulation of modular specifications, called deliverables. It is shown that the laws of module algebra can be translated to laws about deliverables which can be proved correct in type theory. The adequacy of the Extended Calculus of Constructions as a possible implementation of type theory is discussed and it is explained how the reformulation of the laws is influenced by this choice.
Course Notes in Typed Lambda Calculus
, 1998
"... this paper is clearly stated, after recalling how the logical connectives can be explained in term of the Sheffer connective: "We are led to the idea, which at first glance certainly appears extremely bold of attempting to eliminate by suitable reduction the remaining fundamental notions, those ..."
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Cited by 2 (0 self)
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this paper is clearly stated, after recalling how the logical connectives can be explained in term of the Sheffer connective: "We are led to the idea, which at first glance certainly appears extremely bold of attempting to eliminate by suitable reduction the remaining fundamental notions, those of proposition, propositional function, and variable, from those contexts in which we are dealing with completely arbitrary, logical general propositions . . . To examine this possibility more closely and to pursue it would be valuable not only from the methodological point of view that enjoins us to strive for the greatest possible conceptual uniformity but also from a certain philosophic, or if you wish, aesthetic point of view."