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» On the logic of argumentation theory
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2002
IEEE
15 years 12 months ago
Computational Adequacy for Recursive Types in Models of Intuitionistic Set Theory
This paper provides a unifying axiomatic account of the interpretation of recursive types that incorporates both domain-theoretic and realizability models as concrete instances. O...
Alex K. Simpson
JAC
2008
15 years 8 months ago
Tilings and model theory
In this paper we emphasize the links between model theory and tilings. More precisely, after giving the definitions of what tilings are, we give a natural way to have an interpreta...
Alexis Ballier, Emmanuel Jeandel
IGPL
2008
124views more  IGPL 2008»
15 years 6 months ago
The Ricean Objection: An Analogue of Rice's Theorem for First-order Theories
We propose here an extension of Rice's Theorem to first-order logic, proven by totally elementary means. If P is any property defined over the collection of all first-order t...
Igor Carboni Oliveira, Walter Alexandre Carnielli
KR
2004
Springer
16 years 12 days ago
A First-Order Theory of Communicating First-Order Formulas
This paper presents a theory of informative communications among agents that allows a speaker to communicate to a hearer truths about the state of the world; the occurrence of eve...
Ernest Davis
ESOP
2008
Springer
15 years 8 months ago
A Realizability Model for Impredicative Hoare Type Theory
We present a denotational model of impredicative Hoare Type Theory, a very expressive dependent type theory in which one can and reason about mutable abstract data types. The model...
Rasmus Lerchedahl Petersen, Lars Birkedal, Aleksan...