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» An Equational Calculus for Alloy
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CADE
2007
Springer
14 years 7 months ago
A Sequent Calculus for Integer Arithmetic with Counterexample Generation
We introduce a calculus for handling integer arithmetic in first-order logic. The method is tailored to Java program verification and meant to be used both as a supporting procedur...
Philipp Rümmer
AIR
2005
114views more  AIR 2005»
13 years 7 months ago
Relation Algebras and their Application in Temporal and Spatial Reasoning
Qualitative temporal and spatial reasoning is in many cases based on binary relations such as before, after, starts, contains, contact, part of, and others derived from these by r...
Ivo Düntsch
TLCA
2007
Springer
14 years 1 months ago
Extensional Rewriting with Sums
Inspired by recent work on normalisation by evaluation for sums, we propose a normalising and confluent extensional rewriting theory for the simply-typed λ-calculus extended with...
Sam Lindley
CADE
2006
Springer
14 years 7 months ago
Cut-Simulation in Impredicative Logics
Abstract. We investigate cut-elimination and cut-simulation in impredicative (higher-order) logics. We illustrate that adding simple axioms such as Leibniz equations to a calculus ...
Christoph Benzmüller, Chad E. Brown, Michael ...

Lecture Notes
746views
15 years 6 months ago
Martingales, Diffusions and Financial Mathematics
The notes cover several topics such as Measure Theory, Discrete Time Martingales, Discrete Time Option Pricing, Continuous Time, Martingales, Stochastic Integrals, Stochastic Calcu...
A.W. van der Vaart