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» Automating Proofs in Category Theory
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LPNMR
2005
Springer
15 years 5 months ago
An Algebraic Account of Modularity in ID-Logic
ID-logic uses ideas from the field of logic programming to extend second order logic with non-monotone inductive defintions. In this work, we reformulate the semantics of this lo...
Joost Vennekens, Marc Denecker
CL
2012
Springer
13 years 2 months ago
Maintaining distributed logic programs incrementally
Distributed logic programming languages, that allow both facts and programs to be distributed among different nodes in a network, have been recently proposed and used to declarati...
Vivek Nigam, Limin Jia, Boon Thau Loo, Andre Scedr...
CSL
2008
Springer
15 years 1 months ago
Proving Infinitude of Prime Numbers Using Binomial Coefficients
We study the problem of proving in weak theories of Bounded Arithmetic the theorem that there are arbitrarily large prime numbers. We show that the theorem can be proved by some &...
Phuong Nguyen
CSL
2007
Springer
15 years 5 months ago
Unbounded Proof-Length Speed-Up in Deduction Modulo
In 1973, Parikh proved a speed-up theorem conjectured by G¨odel 37 years before: there exist arithmetical formulæ that are provable in first order arithmetic, but whose shorter ...
Guillaume Burel
CSL
2005
Springer
15 years 5 months ago
A Propositional Proof System for Log Space
The proof system G∗ 0 of the quantified propositional calculus corresponds to NC1 , and G∗ 1 corresponds to P, but no formula-based proof system that corresponds log space rea...
Steven Perron