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CADE
2012
Springer
12 years 1 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
TPHOL
2005
IEEE
14 years 4 months ago
A HOL Theory of Euclidean Space
We describe a formalization of the elementary algebra, topology and analysis of finite-dimensional Euclidean space in the HOL Light theorem prover. (Euclidean space is RN with the...
John Harrison
VSTTE
2005
Springer
14 years 4 months ago
It Is Time to Mechanize Programming Language Metatheory
How close are we to a world in which mechanically verified software is commonplace? A world in which theorem proving technology is used routinely by both software developers and p...
Benjamin C. Pierce, Peter Sewell, Stephanie Weiric...
HYBRID
1998
Springer
14 years 3 months ago
Formal Verification of Safety-Critical Hybrid Systems
This paper investigates how formal techniques can be used for the analysis and verification of hybrid systems [1,5,7,16] -- systems involving both discrete and continuous behavior....
Carolos Livadas, Nancy A. Lynch
IJCAI
2003
14 years 15 days ago
Automated Reasoning: Past Story and New Trends
We overview the development of first-order automated reasoning systems starting from their early years. Based on the analysis of current and potential applications of such systems...
Andrei Voronkov