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TPHOL
2007
IEEE
14 years 5 months ago
Verifying Nonlinear Real Formulas Via Sums of Squares
Techniques based on sums of squares appear promising as a general approach to the universal theory of reals with addition and multiplication, i.e. verifying Boolean combinations of...
John Harrison
TPHOL
2007
IEEE
14 years 5 months ago
Simple Types in Type Theory: Deep and Shallow Encodings
Abstract. We present a formal treatment of normalization by evaluation in type theory. The involved semantics of simply-typed λ-calculus is exactly the simply typed fragment of th...
François Garillot, Benjamin Werner
TPHOL
2007
IEEE
14 years 5 months ago
Extracting Purely Functional Contents from Logical Inductive Types
We propose a method to extract purely functional contents from logical inductive types in the context of the Calculus of Inductive Constructions. This method is based on a mode con...
David Delahaye, Catherine Dubois, Jean-Fréd...
TPHOL
2007
IEEE
14 years 5 months ago
Formalising Generalised Substitutions
Abstract. We use the theorem prover Isabelle to formalise and machinecheck results of the theory of generalised substitutions given by Dunne and used in the B method. We describe t...
Jeremy E. Dawson
TPHOL
2007
IEEE
14 years 5 months ago
Finding Lexicographic Orders for Termination Proofs in Isabelle/HOL
We present a simple method to formally prove termination of recursive functions by searching for lexicographic combinations of size measures. Despite its simplicity, the method tur...
Lukas Bulwahn, Alexander Krauss, Tobias Nipkow
TPHOL
2007
IEEE
14 years 5 months ago
Formalising Java's Data Race Free Guarantee
We formalise the data race free (DRF) guarantee provided by Java, as captured by the semi-formal Java Memory Model (JMM) [1] and published in the Java Language Specification [2]. ...
David Aspinall, Jaroslav Sevcík
TPHOL
2007
IEEE
14 years 5 months ago
Separation Logic for Small-Step cminor
Cminor is a mid-level imperative programming language; there are proved-correct optimizing compilers from C to Cminor and from Cminor to machine language. We have redesigned Cminor...
Andrew W. Appel, Sandrine Blazy
ISMVL
2007
IEEE
112views Hardware» more  ISMVL 2007»
14 years 6 months ago
Survey of Stochastic Computation on Factor Graphs
Stochastic computation is a new alternative approach for iterative computation on factor graphs. In this approach, the information is represented by the statistics of the bit stre...
Saeed Sharifi Tehrani, Shie Mannor, Warren J. Gros...
ISMVL
2007
IEEE
94views Hardware» more  ISMVL 2007»
14 years 6 months ago
Representations of Elementary Functions Using Edge-Valued MDDs
This paper proposes a method to represent elementary functions such as trigonometric, logarithmic, square root, and reciprocal functions using edge-valued multi-valued decision di...
Shinobu Nagayama, Tsutomu Sasao
ISMVL
2007
IEEE
80views Hardware» more  ISMVL 2007»
14 years 6 months ago
Spectral Analysis of Special Properties of Ternary Functions
This paper shows that particular classes of linear combinations of the coefficients of the circular Chrestenson-Vilenkin spectrum of ternary functions characterize whether cofacto...
Claudio Moraga, Milena Stankovic, Suzana Stojkovic