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» Theory Interpretation in Simple Type Theory
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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
COLING
2002
13 years 7 months ago
The Chinese Aspect System and its Semantic Interpretation
: Motivated by a systematic representation of the Chinese aspect forms that explores their intrinsic semantics and temporal logical relations, we are constructing a Chinese aspect ...
Guowen Yang, John A. Bateman
CIE
2007
Springer
14 years 1 months ago
Quotients over Minimal Type Theory
Abstract. We consider an extensional version, called qmTT, of the intensional Minimal Type Theory mTT, introduced in a previous paper with G. Sambin, enriched with proof-irrelevanc...
Maria Emilia Maietti
CADE
2006
Springer
14 years 7 months ago
On the Strength of Proof-Irrelevant Type Theories
We present a type theory with some proof-irrelevance built into the conversion rule. We argue that this feature is useful when type theory is used as the logical formalism underlyi...
Benjamin Werner
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