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CORR
2006
Springer
129views Education» more  CORR 2006»
15 years 10 days ago
Craig's Interpolation Theorem formalised and mechanised in Isabelle/HOL
We formalise and mechanise a construtive, proof theoretic proof of Craig's Interpolation Theorem in Isabelle/HOL. We give all the definitions and lemma statements both formal...
Tom Ridge
88
Voted
NDJFL
2002
75views more  NDJFL 2002»
14 years 12 months ago
Definability of Initial Segments
In any nonstandard model of Peano arithmetic, the standard part is not first order definable. But we show that in some model the standard part is definable as the unique solution ...
Saharon Shelah, Akito Tsuboi
ICTL
1994
15 years 4 months ago
Completeness through Flatness in Two-Dimensional Temporal Logic
We introduce a temporal logic TAL and prove that it has several nice features. The formalism is a two-dimensional modal system in the sense that formulas of the language are evalua...
Yde Venema
CORR
2010
Springer
130views Education» more  CORR 2010»
14 years 10 months ago
Interactive Learning Based Realizability and 1-Backtracking Games
Abstract. We prove that interactive learning based classical realizability (introduced by Aschieri and Berardi for first order arithmetic [1]) is sound with respect to Coquand game...
Federico Aschieri
PLANX
2007
15 years 1 months ago
XPath Typing Using a Modal Logic with Converse for Finite Trees
We present an algorithm to solve XPath decision problems under regular tree type constraints and show its use to statically typecheck XPath queries. To this end, we prove the deci...
Pierre Genevès, Nabil Layaïda, Alan Sc...