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» Normal Proofs in Intruder Theories
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CSL
2005
Springer
14 years 2 months ago
A Propositional Proof System for Log Space
The proof system G∗ 0 of the quantified propositional calculus corresponds to NC1 , and G∗ 1 corresponds to P, but no formula-based proof system that corresponds log space rea...
Steven Perron
IFSA
2007
Springer
147views Fuzzy Logic» more  IFSA 2007»
14 years 2 months ago
On Proofs and Rule of Multiplication in Fuzzy Attribute Logic
Abstract. The paper develops fuzzy attribute logic, i.e. a logic for reasoning about formulas of the form A ⇒ B where A and B are fuzzy sets of attributes. A formula A ⇒ B repr...
Radim Belohlávek, Vilém Vychodil
CADE
2006
Springer
14 years 9 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
CORR
2006
Springer
110views Education» more  CORR 2006»
13 years 8 months ago
Definitions by Rewriting in the Calculus of Constructions
Abstract : The main novelty of this paper is to consider an extension of the Calculus of Constructions where predicates can be defined with a general form of rewrite rules. We prov...
Frédéric Blanqui
LICS
2007
IEEE
14 years 2 months ago
A Dependent Set Theory
Set theories are traditionally based on first-order logic. We show that in a constructive setting, basing a set theory on a dependent logic yields many benefits. To this end, we...
Wojciech Moczydlowski