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» How to Prove Inductive Theorems
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BIRTHDAY
2006
Springer
13 years 11 months ago
Reductio ad Absurdum: Planning Proofs by Contradiction
Sometimes it is pragmatically useful to prove a theorem by contradiction rather than finding a direct proof. Some reductio ad absurdum arguments have made mathematical history and ...
Erica Melis, Martin Pollet, Jörg H. Siekmann
ICFEM
2004
Springer
14 years 1 months ago
Verifying a File System Implementation
Abstract. We present a correctness proof for a basic file system implementation. This implementation contains key elements of standard Unix file systems such as inodes and fixed...
Konstantine Arkoudas, Karen Zee, Viktor Kuncak, Ma...
TAPSOFT
1997
Springer
13 years 11 months ago
Traces of I/O-Automata in Isabelle/HOLCF
Abstract. This paper presents a formalization of nite and in nite sequences in domain theory carried out in the theorem prover Isabelle. The results are used to model the metatheor...
Olaf Müller, Tobias Nipkow
PLPV
2009
ACM
14 years 4 months ago
Embedding a logical theory of constructions in Agda
We propose a new way to reason about general recursive functional programs in the dependently typed programming language Agda, which is based on Martin-L¨of’s intuitionistic ty...
Ana Bove, Peter Dybjer, Andrés Sicard-Ram&i...
TPHOL
1998
IEEE
13 years 12 months ago
The Village Telephone System: A Case Study in Formal Software Engineering
In this paper we illustrate the use of formal methods in the development of a benchmark application we call the Village Telephone System which is characteristic of a class of netwo...
Karthikeyan Bhargavan, Carl A. Gunter, Elsa L. Gun...