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» A First-Order Isomorphism Theorem
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102
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CADE
2005
Springer
15 years 10 months ago
Reflecting Proofs in First-Order Logic with Equality
Our general goal is to provide better automation in interactive proof assistants such as Coq. We present an interpreter of proof traces in first-order multi-sorted logic with equal...
Evelyne Contejean, Pierre Corbineau
121
Voted
CADE
2005
Springer
15 years 10 months ago
The Decidability of the First-Order Theory of Knuth-Bendix Order
Two kinds of orderings are widely used in term rewriting and theorem proving, namely recursive path ordering (RPO) and Knuth-Bendix ordering (KBO). They provide powerful tools to p...
Ting Zhang, Henny B. Sipma, Zohar Manna
90
Voted
TPHOL
2003
IEEE
15 years 3 months ago
First Order Logic with Domain Conditions
This paper addresses the crucial issue in the design of a proof development system of how to deal with partial functions and the related question of how to treat undefined terms. ...
Freek Wiedijk, Jan Zwanenburg
99
Voted
CSL
2001
Springer
15 years 2 months ago
A Logic for Approximate First-Order Reasoning
Abstract. In classical approaches to knowledge representation, reasoners are assumed to derive all the logical consequences of their knowledge base. As a result, reasoning in the ...
Frédéric Koriche
77
Voted
ESOP
2012
Springer
13 years 6 months ago
GMeta: A Generic Formal Metatheory Framework for First-Order Representations
Abstract. This paper presents GMeta: a generic framework for firstorder representations of variable binding that provides once and for all many of the so-called infrastructure lem...
Gyesik Lee, Bruno C. D. S. Oliveira, Sungkeun Cho,...