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» Logical Bisimulations and Functional Languages
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FOIKS
2006
Springer
13 years 10 months ago
Reasoning Support for Expressive Ontology Languages Using a Theorem Prover
It is claimed in [45] that first-order theorem provers are not efficient for reasoning with ontologies based on description logics compared to specialised description logic reasone...
Ian Horrocks, Andrei Voronkov
PLPV
2009
ACM
14 years 3 months ago
Embedding a logical theory of constructions in Agda
We propose a new way to reason about general recursive functional programs in the dependently typed programming language Agda, which is based on Martin-L¨of’s intuitionistic ty...
Ana Bove, Peter Dybjer, Andrés Sicard-Ram&i...
LPAR
2010
Springer
13 years 4 months ago
Semiring-Induced Propositional Logic: Definition and Basic Algorithms
In this paper we introduce an extension of propositional logic that allows clauses to be weighted with values from a generic semiring. The main interest of this extension is that ...
Javier Larrosa, Albert Oliveras, Enric Rodrí...
CIE
2006
Springer
13 years 10 months ago
Inverting Monotone Continuous Functions in Constructive Analysis
We prove constructively (in the style of Bishop) that every monotone continuous function with a uniform modulus of increase has a continuous inverse. The proof is formalized, and a...
Helmut Schwichtenberg
IPL
2008
102views more  IPL 2008»
13 years 6 months ago
The connection between two ways of reasoning about partial functions
Undefined terms involving the application of partial functions and operators are common in program specifications and in discharging proof obligations that arise in design. One wa...
John S. Fitzgerald, Cliff B. Jones