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MKM
2007
Springer
14 years 1 months ago
Formal Representation of Mathematics in a Dependently Typed Set Theory
Abstract. We have formalized material from an introductory real analysis textbook in the proof assistant Scunak. Scunak is a system based on set theory encoded in a dependent type ...
Feryal Fulya Horozal, Chad E. Brown
CADE
2005
Springer
14 years 7 months ago
Reasoning in Extensional Type Theory with Equality
Abstract. We describe methods for automated theorem proving in extensional type theory with primitive equality. We discuss a complete, cut-free sequent calculus as well as a compac...
Chad E. Brown
CORR
2007
Springer
125views Education» more  CORR 2007»
13 years 7 months ago
Common knowledge logic in a higher order proof assistant?
This paper presents experiments on common knowledge logic, conducted with the help of the proof assistant Coq. The main feature of common knowledge logic is the eponymous modality...
Pierre Lescanne
WSC
2000
13 years 9 months ago
Using agent-based modeling to capture airpower strategic effects
Airpower's strength lies in quickly striking the enemy directly where they are vulnerable while being unhampered by geography and surface forces. Airpower theory suggests the...
Richard K. Bullock, Gregory A. McIntyre, Raymond R...
TLCA
2005
Springer
14 years 1 months ago
Naming Proofs in Classical Propositional Logic
Abstract. We present a theory of proof denotations in classical propologic. The abstract definition is in terms of a semiring of weights, and two concrete instances are explored. ...
François Lamarche, Lutz Straßburger