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» On the Theory of Matchgate Computations
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LICS
2007
IEEE
15 years 8 months ago
A Dependent Set Theory
Set theories are traditionally based on first-order logic. We show that in a constructive setting, basing a set theory on a dependent logic yields many benefits. To this end, we...
Wojciech Moczydlowski
PLPV
2009
ACM
15 years 10 months ago
Embedding a logical theory of constructions in Agda
We propose a new way to reason about general recursive functional programs in the dependently typed programming language Agda, which is based on Martin-L¨of’s intuitionistic ty...
Ana Bove, Peter Dybjer, Andrés Sicard-Ram&i...
135
Voted
ICLP
1995
Springer
15 years 5 months ago
A Method for Implementing Equational Theories as Logic Programs
Equational theories underly many elds of computing, including functional programming, symbolic algebra, theorem proving, term rewriting and constraint solving. In this paper we sh...
Mantis H. M. Cheng, Douglas Stott Parker Jr., Maar...
116
Voted
DAC
2006
ACM
16 years 2 months ago
Predicate learning and selective theory deduction for a difference logic solver
Design and verification of systems at the Register-Transfer (RT) or behavioral level require the ability to reason at higher levels of abstraction. Difference logic consists of an...
Chao Wang, Aarti Gupta, Malay K. Ganai
ICFP
2002
ACM
16 years 1 months ago
An expressive, scalable type theory for certified code
We present the type theory LTT, intended to form a basis for typed target languages, providing an internal notion of logical proposition and proof. The inclusion of explicit proof...
Karl Crary, Joseph Vanderwaart