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TLCA
2009
Springer
9 years 5 months ago
Some Observations on the Proof Theory of Second Order Propositional Multiplicative Linear Logic
Abstract. We investigate the question of what constitutes a proof when quantifiers and multiplicative units are both present. On the technical level this paper provides two new as...
Lutz Straßburger
RTA
2015
Springer
3 years 7 months ago
No complete linear term rewriting system for propositional logic
Recently it has been observed that the set of all sound linear inference rules in propositional logic is already coNP-complete, i.e. that every boolean tautology can be written as...
Anupam Das, Lutz Straßburger
CSL
2007
Springer
9 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
CADE
2011
Springer
7 years 11 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
LICS
2010
IEEE
8 years 9 months ago
Addition-Invariant FO and Regularity
We consider formulas which, in addition to the symbols in the vocabulary, may use two designated symbols ≺ and + that must be interpreted as a linear order and its associated ad...
Nicole Schweikardt, Luc Segoufin
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