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» Extensional Theories and Rewriting
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LICS
1999
IEEE
13 years 12 months ago
Extensional Equality in Intensional Type Theory
We present a new approach to introducing an extensional propositional equality in Intensional Type Theory. Our construction is based on the observation that there is a sound, inte...
Thorsten Altenkirch
SLOGICA
2010
138views more  SLOGICA 2010»
13 years 6 months ago
Extensionality and Restriction in Naive Set Theory
Abstract. The naive set theory problem is to begin with a full comprehension axiom, and to find a logic strong enough to prove theorems, but weak enough not to prove everything. T...
Zach Weber
ENTCS
2007
89views more  ENTCS 2007»
13 years 7 months ago
Hierarchical Nominal Terms and Their Theory of Rewriting
Nominal rewriting introduced a novel method of specifying rewriting on syntax-with-binding. We extend this treatment of rewriting with hierarchy of variables representing increasi...
Murdoch Gabbay
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
SARA
2007
Springer
14 years 1 months ago
Extensional Reasoning
Relational databases have had great industrial success in computer science, their power evidenced by theoretical analysis and widespread adoption. Often, automated theorem provers...
Timothy L. Hinrichs