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» Forcing and Type Theory
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CADE
2000
Springer
13 years 11 months ago
Automated Proof Construction in Type Theory Using Resolution
We provide techniques to integrate resolution logic with equality in type theory. The results may be rendered as follows. − A clausification procedure in type theory, equipped w...
Marc Bezem, Dimitri Hendriks, Hans de Nivelle
MST
2007
168views more  MST 2007»
13 years 6 months ago
Productivity of Edalat-Potts Exact Arithmetic in Constructive Type Theory
In this work we focus on a formalisation of the algorithms of lazy exact arithmetic `a la Edalat–Potts in type theory. We choose the constructive type theory extended with coind...
Milad Niqui
ICALP
2004
Springer
14 years 23 days ago
Towards an Algebraic Theory of Typed Mobile Processes
The impact of types on the algebraic theory of the π-calculus is studied. The type system has capability types. They allow one to distinguish between the ability to read from a c...
Yuxin Deng, Davide Sangiorgi
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
ICFP
2006
ACM
14 years 7 months ago
Polymorphism and separation in hoare type theory
In previous work, we proposed a Hoare Type Theory (HTT) which combines effectful higher-order functions, dependent types and Hoare Logic specifications into a unified framework. H...
Aleksandar Nanevski, Greg Morrisett, Lars Birkedal