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» Forcing in proof theory
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ENTCS
2007
107views more  ENTCS 2007»
15 years 17 days ago
Event Domains, Stable Functions and Proof-Nets
We pursue the program of exposing the intrinsic mathematical structure of the “space of proofs” of a logical system [AJ94b]. We study the case of Multiplicative-Additive Linea...
Samson Abramsky
104
Voted
TPHOL
2007
IEEE
15 years 6 months ago
Proof Pearl: De Bruijn Terms Really Do Work
Placing our result in a web of related mechanised results, we give a direct proof that the de Bruijn λ-calculus (`a la Huet, Nipkow and Shankar) is isomorphic to an α-quotiented ...
Michael Norrish, René Vestergaard
95
Voted
CSL
2010
Springer
15 years 1 months ago
Untyping Typed Algebraic Structures and Colouring Proof Nets of Cyclic Linear Logic
Abstract. We prove "untyping" theorems: in some typed theories (semirings, Kleene algebras, residuated lattices, involutive residuated lattices), typed equations can be d...
Damien Pous
105
Voted
CPP
2011
99views more  CPP 2011»
14 years 13 days ago
Proof-Carrying Code in a Session-Typed Process Calculus
Abstract. Dependent session types allow us to describe not only properties of the I/O behavior of processes but also of the exchanged data. In this paper we show how to exploit dep...
Frank Pfenning, Luís Caires, Bernardo Tonin...
CADE
2011
Springer
14 years 18 days ago
Experimenting with Deduction Modulo
Deduction modulo is a generic framework to describe proofs in a theory better than using raw axioms. This is done by presenting the theory through rules rewriting terms and proposi...
Guillaume Burel