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CADE
2007
Springer
16 years 1 months ago
Semantic Selection of Premisses for Automated Theorem Proving
We develop and implement a novel algorithm for discovering the optimal sets of premisses for proving and disproving conjectures in first-order logic. The algorithm uses interpret...
Petr Pudlak
AIML
2008
15 years 8 months ago
Valentini's cut-elimination for provability logic resolved
In 1983, Valentini presented a syntactic proof of cut-elimination for a sequent calculus GLSV for the provability logic GL where we have added the subscript V for "Valentini&q...
Rajeev Goré, Revantha Ramanayake
CADE
2007
Springer
16 years 7 months ago
Barendregt's Variable Convention in Rule Inductions
Abstract. Inductive definitions and rule inductions are two fundamental reasoning tools in logic and computer science. When inductive definitions involve binders, then Barendregt&#...
Christian Urban, Stefan Berghofer, Michael Norrish
STOC
2007
ACM
101views Algorithms» more  STOC 2007»
16 years 7 months ago
Toward a general theory of quantum games
We study properties of quantum strategies, which are complete specifications of a given party's actions in any multiple-round interaction involving the exchange of quantum in...
Gus Gutoski, John Watrous
ICFP
2002
ACM
16 years 6 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