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CADE
2012
Springer
13 years 6 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
15 years 10 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
15 years 10 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
15 years 8 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
15 years 5 months 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