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CADE
2006
Springer
14 years 8 months ago
Automating Proofs in Category Theory
Abstract. We introduce a semi-automated proof system for basic category-theoretic reasoning. It is based on a first-order sequent calculus that captures the basic properties of cat...
Dexter Kozen, Christoph Kreitz, Eva Richter
CADE
2006
Springer
14 years 8 months ago
Partial Recursive Functions in Higher-Order Logic
Abstract. Based on inductive definitions, we develop an automated tool for defining partial recursive functions in Higher-Order Logic and providing appropriate reasoning tools for ...
Alexander Krauss
CADE
2006
Springer
14 years 8 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 8 months ago
Automation of Recursive Path Ordering for Infinite Labelled Rewrite Systems
Abstract. Semantic labelling is a transformational technique for proving termination of Term Rewriting Systems (TRSs). Only its variant with finite sets of labels was used so far i...
Adam Koprowski, Hans Zantema
CADE
2006
Springer
14 years 8 months ago
Eliminating Redundancy in Higher-Order Unification: A Lightweight Approach
In this paper, we discuss a lightweight approach to eliminate the overhead due to implicit type arguments during higher-order unification of dependently-typed terms. First, we show...
Brigitte Pientka