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CADE
2006
Springer
14 years 4 months ago
Automatic Termination Proofs in the Dependency Pair Framework
Jürgen Giesl, Peter Schneider-Kamp, Ren&eacut...
CADE
2006
Springer
14 years 4 months ago
Towards Self-verification of HOL Light
The HOL Light prover is based on a logical kernel consisting of about 400 lines of mostly functional OCaml, whose complete formal verification seems to be quite feasible. We would ...
John Harrison
CADE
2006
Springer
14 years 4 months ago
A Logical Characterization of Forward and Backward Chaining in the Inverse Method
Abstract. The inverse method is a generalization of resolution that can be applied to non-classical logics. We have recently shown how Andreoli's focusing strategy can be adap...
Kaustuv Chaudhuri, Frank Pfenning, Greg Price
CADE
2006
Springer
14 years 4 months ago
Strong Cut-Elimination Systems for Hudelmaier's Depth-Bounded Sequent Calculus for Implicational Logic
Abstract. Inspired by the Curry-Howard correspondence, we study normalisation procedures in the depth-bounded intuitionistic sequent calculus of Hudelmaier (1988) for the implicati...
Roy Dyckhoff, Delia Kesner, Stéphane Lengra...
CADE
2006
Springer
14 years 4 months ago
Verifying Mixed Real-Integer Quantifier Elimination
Abstract. We present a formally verified quantifier elimination procedure for the first order theory over linear mixed real-integer arithmetics in higher-order logic based on a wor...
Amine Chaieb
CADE
2006
Springer
14 years 4 months ago
Specifying and Reasoning About Dynamic Access-Control Policies
Access-control policies have grown from simple matrices to non-trivial specifications written in sophisticated languages. The increasing complexity of these policies demands corres...
Daniel J. Dougherty, Kathi Fisler, Shriram Krishna...
CADE
2006
Springer
14 years 4 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 4 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 4 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...