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» Extensional Theories and Rewriting
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LICS
1999
IEEE
13 years 9 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 3 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 5 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
13 years 11 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
13 years 11 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