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» The First-Order Isomorphism Theorem
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CADE
2005
Springer
15 years 12 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
CADE
2005
Springer
15 years 12 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
TPHOL
2003
IEEE
15 years 5 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
CSL
2001
Springer
15 years 4 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
ESOP
2012
Springer
13 years 7 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,...