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CORR
2010
Springer
158views Education» more  CORR 2010»
14 years 10 months ago
A Minimal Propositional Type Theory
Propositional type theory, first studied by Henkin, is the restriction of simple type theory to a single base type that is interpreted as the set of the two truth values. We show ...
Mark Kaminski, Gert Smolka
CIE
2007
Springer
15 years 4 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
ICFP
2008
ACM
15 years 9 months ago
Pattern minimization problems over recursive data types
In the context of program verification in an interactive theorem prover, we study the problem of transforming function definitions with ML-style (possibly overlapping) pattern mat...
Alexander Krauss
LICS
1999
IEEE
15 years 2 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
CSL
2001
Springer
15 years 2 months ago
Markov's Principle for Propositional Type Theory
Abstract. In this paper we show how to extend a constructive type theory with a principle that captures the spirit of Markov’s principle from constructive recursive mathematics. ...
Alexei Kopylov, Aleksey Nogin