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» Forcing in proof theory
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ENTCS
2007
107views more  ENTCS 2007»
13 years 7 months 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
TPHOL
2007
IEEE
14 years 1 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
CSL
2010
Springer
13 years 8 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
CPP
2011
99views more  CPP 2011»
12 years 7 months 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
12 years 7 months 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