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» The Algebra of Equality Proofs
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CSL
2008
Springer
13 years 10 months ago
Characterization of Logics over Ranked Tree Languages
We study the expressive power of the logics EF + F-1 , 2 and boolean combinations of 1 over ranked trees. In particular, we provide effective characterizations of those three logic...
Thomas Place
ACTAC
2002
75views more  ACTAC 2002»
13 years 8 months ago
Framework for Studying Substitution
This paper describes a framework for handling bound variable renaming and substitution mathematically rigorously with the aim at the same time to stay as close as possible to huma...
Härmel Nestra
BIRTHDAY
2009
Springer
14 years 2 months ago
Nonassociative Lambek Calculus with Additives and Context-Free Languages
We study Nonassociative Lambek Calculus with additives ∧, ∨, satisfying the distributive law (Distributive Full Nonassociative Lambek Calculus DFNL). We prove that categorial g...
Wojciech Buszkowski, Maciej Farulewski
BIRTHDAY
2007
Springer
14 years 2 months ago
Superdeduction at Work
Superdeduction is a systematic way to extend a deduction system like the sequent calculus by new deduction rules computed from the user theory. We show how this could be done in a ...
Paul Brauner, Clément Houtmann, Claude Kirc...
IPL
2008
102views more  IPL 2008»
13 years 8 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