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RTA
2005
Springer
15 years 5 months ago
Arithmetic as a Theory Modulo
We present constructive arithmetic in Deduction modulo with rewrite rules only. In natural deduction and in sequent calculus, the cut elimination theorem and the analysis of the st...
Gilles Dowek, Benjamin Werner
ENTCS
2008
128views more  ENTCS 2008»
14 years 12 months ago
Towards Formalizing Categorical Models of Type Theory in Type Theory
This note is about work in progress on the topic of "internal type theory" where we investigate the internal formalization of the categorical metatheory of constructive ...
Alexandre Buisse, Peter Dybjer
CSL
2004
Springer
15 years 5 months ago
A Third-Order Bounded Arithmetic Theory for PSPACE
We present a novel third-order theory W1 1 of bounded arithmetic suitable for reasoning about PSPACE functions. This theory has the advantages of avoiding the smash function symbol...
Alan Skelley
CADE
2009
Springer
16 years 11 days ago
Ground Interpolation for Combined Theories
Abstract. We give a method for modular generation of ground interpolants in modern SMT solvers supporting multiple theories. Our method uses a novel algorithm to modify the proof t...
Amit Goel, Sava Krstic, Cesare Tinelli
CORR
2008
Springer
121views Education» more  CORR 2008»
14 years 12 months ago
Graph Algorithms for Improving Type-Logical Proof Search
Proof nets are a graph theoretical representation of proofs in various fragments of type-logical grammar. In spite of this basis in graph theory, there has been relatively little ...
Richard Moot