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CADE
2006
Springer
14 years 11 months ago
Combining Type Theory and Untyped Set Theory
Abstract. We describe a second-order type theory with proof irrelevance. Within this framework, we give a representation of a form of Mac Lane set theory and discuss automated supp...
Chad E. Brown
CADE
2006
Springer
14 years 11 months ago
Extracting Programs from Constructive HOL Proofs Via IZF Set-Theoretic Semantics
Church's Higher Order Logic is a basis for proof assistants -- HOL and PVS. Church's logic has a simple set-theoretic semantics, making it trustworthy and extensible. We ...
Robert L. Constable, Wojciech Moczydlowski
CADE
2006
Springer
14 years 11 months ago
Decidability and Undecidability Results for Nelson-Oppen and Rewrite-Based Decision Procedures
Abstract. In the context of combinations of theories with disjoint signatures, we classify the component theories according to the decidability of constraint satisability problems ...
Maria Paola Bonacina, Silvio Ghilardi, Enrica Nico...
CADE
2006
Springer
14 years 11 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 ...
CADE
2006
Springer
14 years 11 months ago
CEL - A Polynomial-Time Reasoner for Life Science Ontologies
CEL (Classifier for EL) is a reasoner for the small description logic EL+ which can be used to compute the subsumption hierarchy induced by EL+ ontologies. The most distinguishing ...
Franz Baader, Carsten Lutz, Boontawee Suntisrivara...
CADE
2006
Springer
14 years 11 months ago
Dynamic Logic with Non-rigid Functions
We introduce a dynamic logic that is enriched by non-rigid functions, i.e., functions that may change their value from state to state (during program execution), and we present a (...
Bernhard Beckert, André Platzer
CADE
2006
Springer
14 years 11 months ago
Blocking and Other Enhancements for Bottom-Up Model Generation Methods
In this paper we introduce several new improvements to the bottom-up model generation (BUMG) paradigm. Our techniques are based on non-trivial transformations of first-order probl...
Peter Baumgartner, Renate A. Schmidt
CADE
2007
Springer
14 years 11 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
CADE
2007
Springer
14 years 11 months ago
Symbolic Fault Injection
Fault tolerance mechanisms are a key ingredient of dependable systems. In particular, software-implemented hardware fault tolerance (SIHFT) is gaining in popularity, because of its...
Daniel Larsson, Reiner Hähnle