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APAL
2010
114views more  APAL 2010»
15 years 4 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»
15 years 4 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»
15 years 3 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
15 years 8 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
15 years 10 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