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APAL
2010
114views more  APAL 2010»
13 years 7 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
JAPLL
2006
87views more  JAPLL 2006»
13 years 7 months ago
Is ZF a hack?: Comparing the complexity of some (formalist interpretations of) foundational systems for mathematics
This paper presents Automath encodings (which also are valid in LF/P) of various kinds of foundations of mathematics. Then it compares these encodings according to their size, to f...
Freek Wiedijk
CASC
2010
Springer
155views Mathematics» more  CASC 2010»
13 years 6 months ago
Type Specialization in Aldor
Computer algebra in scientific computation squarely faces the dilemma of natural mathematical expression versus efficiency. While higher-order programming constructs and parametri...
Laurentiu Dragan, Stephen M. Watt
TACS
1994
Springer
13 years 11 months ago
A Semantic Theory for Concurrent ML
In this paper we present a semantic theory for Concurrent ML. It consists of a new effect-based type system and a denotational model. The new type system is based on an extension o...
Dominique Bolignano, Mourad Debbabi
FROCOS
2007
Springer
14 years 1 months ago
Hierarchical and Modular Reasoning in Complex Theories: The Case of Local Theory Extensions
Abstract. We present an overview of results on hierarchical and modular reasoning in complex theories. We show that for a special type of extensions of a base theory, which we call...
Viorica Sofronie-Stokkermans