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LICS
2007
IEEE
16 years 19 days ago
A Dependent Set Theory
Set theories are traditionally based on first-order logic. We show that in a constructive setting, basing a set theory on a dependent logic yields many benefits. To this end, we...
Wojciech Moczydlowski
PLPV
2009
ACM
16 years 3 months ago
Embedding a logical theory of constructions in Agda
We propose a new way to reason about general recursive functional programs in the dependently typed programming language Agda, which is based on Martin-L¨of’s intuitionistic ty...
Ana Bove, Peter Dybjer, Andrés Sicard-Ram&i...
APAL
2010
114views more  APAL 2010»
15 years 6 months ago
Classical predicative logic-enriched type theories
A logic-enriched type theory (LTT) is a type theory extended with a primitive mechanism for forming and proving propositions. We construct two LTTs, named LTT0 and LTT 0, which we...
Robin Adams, Zhaohui Luo

Lecture Notes
1759views
17 years 4 months ago
Single-Person and Multi-Person Decision Theory
These lecture notes cover several topics such as Abstract Preferences and Choices, A Choice Structure Approach to Consumer Demand, A Preference Based Approach to Consumer Demand P...
Max Stinchcombe
JSYML
2006
91views more  JSYML 2006»
15 years 6 months ago
On the Herbrand notion of consistency for finitely axiomatizable fragments of bounded arithmetic theories
Modifying the methods of Z. Adamowicz's paper Herbrand consistency and bounded arithmetic (Fund. Math. 171 (2002)), we show that there exists a number n such that m Sm (the u...
Leszek Aleksander Kolodziejczyk