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FROCOS
2005
Springer
13 years 11 months ago
ATS: A Language That Combines Programming with Theorem Proving
ATS is a language with a highly expressive type system that supports a restricted form of dependent types in which programs are not allowed to appear in type expressions. The langu...
Sa Cui, Kevin Donnelly, Hongwei Xi
TPHOL
2002
IEEE
13 years 10 months ago
Free-Style Theorem Proving
g Higher Order Abstract Syntax with Tactical Theorem Proving and (Co)Induction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 ...
David Delahaye
MLQ
2006
84views more  MLQ 2006»
13 years 5 months ago
A note on Bar Induction in Constructive Set Theory
Bar Induction occupies a central place in Brouwerian mathematics. This note is concerned with the strength of Bar Induction on the basis of Constructive ZermeloFraenkel Set Theory...
Michael Rathjen
CADE
2002
Springer
14 years 6 months ago
The Reflection Theorem: A Study in Meta-theoretic Reasoning
The reflection theorem has been proved using Isabelle/ZF. This theorem cannot be expressed in ZF, and its proof requires reasoning at the meta-level. There is a particularly elegan...
Lawrence C. Paulson
CADE
2012
Springer
11 years 8 months ago
Rewriting Induction + Linear Arithmetic = Decision Procedure
Abstract. This paper presents new results on the decidability of inductive validity of conjectures. For these results, a class of term rewrite systems (TRSs) with built-in linear i...
Stephan Falke, Deepak Kapur