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» Extensionality in the Calculus of Constructions
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74
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EJC
2008
14 years 9 months ago
Fix-Mahonian calculus, I: Two transformations
We construct two bijections of the symmetric group Sn onto itself that enable us to show that three new three-variable statistics are equidistributed with classical statistics invo...
Dominique Foata, Guo-Niu Han
ICFP
1996
ACM
15 years 1 months ago
Inductive, Coinductive, and Pointed Types
An extension of the simply-typed lambda calculus is presented which contains both well-structured inductive and coinductive types, and which also identifies a class of types for w...
Brian T. Howard
JAPLL
2006
87views more  JAPLL 2006»
14 years 9 months ago
Is ZF a hack?: Comparing the complexity of some (formalist interpretations of) foundational systems for mathematics
This paper presents Automath encodings (which also are valid in LF/P) of various kinds of foundations of mathematics. Then it compares these encodings according to their size, to f...
Freek Wiedijk
85
Voted
CADE
2008
Springer
15 years 10 months ago
Terminating Tableaux for Hybrid Logic with the Difference Modality and Converse
Abstract. We present the first terminating tableau calculus for basic hybrid logic with the difference modality and converse modalities. The language under consideration is basic m...
Mark Kaminski, Gert Smolka
TABLEAUX
2009
Springer
15 years 2 months ago
Proof Search and Counter-Model Construction for Bi-intuitionistic Propositional Logic with Labelled Sequents
Abstract. Bi-intuitionistic logic is a conservative extension of intuitionistic logic with a connective dual to implication, called exclusion. We present a sound and complete cut-f...
Luis Pinto, Tarmo Uustalu