Results 231 to 240 of about 108,430 (261)

Universes for generic programs and proofs in dependent type theory

Nord. J. Comput., 2003
Summary: We show how to write generic programs and proofs in Martin-Löf type theory. To this end we consider several extensions of Martin-Löf's logical framework for dependent types. Each extension has a universe of codes (signatures) for inductively defined sets with generic formation, introduction, elimination, and equality rules.
Marcin Benke, Peter Dybjer, Patrik Jansson   +2 more
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A sound and complete proof theory for the generalized logic of only knowing

Journal of Experimental & Theoretical Artificial Intelligence, 1998
We present a sound and complete proof theory for the generalized logic of only knowing (GOL). The GOL logic is a modal logic proposed recently (Chen 1997) as a unified logical framework for non-monotonic reasoning, which extends the logic of only knowing (OL) of Levesque (1990), and covers the important notion of epistemic specification (Gelfond 1991 ...
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Skirmishing toward a general theory of evidence and proof

The International Journal of Evidence & Proof
Traditional probability fundamentally assumes bivalence and additivity: there is only truth and falsity, whose odds add to one. The consequence is many problems and paradoxes for factfinding, all attributable to the assumptions’ exclusive focus on random uncertainty. By contrast, multivalent belief theory abjures those two assumptions, thereby allowing
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On the generation of d-ordered sets: a proof based on determinant theory

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 1992
Summary: A \(d\)-ordered set is equivalent to an oriented matroid and thus is important for mathematical applications and theory. A method has been given for generating \(d\)-ordered sets from sets of points in \(\mathbb{R}^{d+1}\). Let \(X\subseteq\mathbb{R}^{d+1}\) be such a set of points, the elements of \(X\) being considered as column vectors. For
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Some Facts from the Theory of Proofs and Some Fictions from General Proof Theory

1979
A working definition of the distinction intended in the title is this. Proof theory is principally interested in what is traditionally called the essence or, equivalently, ‘defining property’ of proofs, namely their being valid arguments. This property of validity, which — like most notions and questions of traditional philosophy — occurs to us at a ...
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A Proof of the Generalized Second-Limit Theorem in the Theory of Probability

Communications in Statistics - Theory and Methods, 2011
Some theorems of q-additive and q-multiplicative functions are presented, where the summation is taken over some arithmetically interesting subsets of the integers.
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Ordinal Analysis with an Introduction to Proof Theory

Logic in Asia: Studia Logica Library, 2020
Toshiyasu Arai
exaly  

EXPERIMENTAL PROOF OF THE MOSQUITO-MALARIA THEORY.

Lancet, The, 1900
Patrick Manson
exaly  

Reciprocal Influences Between Proof Theory and Logic Programming

Philosophy and Technology, 2019
Dale Miller, Miller Dale
exaly  

Explaining Gentzen's consistency proof within infinitary proof theory

Lecture Notes in Computer Science, 2005
Wilfried Buchholz
exaly