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TPHOL
2003
IEEE
15 years 12 months ago
Applications of Polytypism in Theorem Proving
Abstract. Polytypic functions have mainly been studied in the context of functional programming languages. In that setting, applications of polytypism include elegant treatments of...
Konrad Slind, Joe Hurd
ICALP
2001
Springer
15 years 11 months ago
Lower Bounds for the Weak Pigeonhole Principle Beyond Resolution
We work with an extension of Resolution, called Res(2), that allows clauses with conjunctions of two literals. In this system there are rules to introduce and eliminate such conju...
Albert Atserias, Maria Luisa Bonet, Juan Luis Este...
ICALP
2001
Springer
15 years 11 months ago
Improved Lower Bounds on the Randomized Complexity of Graph Properties
We prove a lower bound of (n4/3 log1/3 n) on the randomized decision tree complexity of any nontrivial monotone n-vertex graph property, and of any nontrivial monotone bipartite g...
Amit Chakrabarti, Subhash Khot
CADE
1992
Springer
15 years 10 months ago
Implementing the Meta-Theory of Deductive Systems
Abstract. We exhibit a methodology for formulating and verifying metatheorems about deductive systems in the Elf language, an implementation of the LF Logical Framework with an ope...
Frank Pfenning, Ekkehard Rohwedder
APLAS
2007
ACM
15 years 10 months ago
Complete Lattices and Up-To Techniques
Abstract. We propose a theory of up-to techniques for proofs by coinduction, in the setting of complete lattices. This theory improves over existing results by providing a way to c...
Damien Pous