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IPL
2007
99views more  IPL 2007»
13 years 7 months ago
Substitutions into propositional tautologies
We prove that there is a polynomial time substitution (y1, . . . , yn) := g(x1, . . . , xk) with k << n such that whenever the substitution instance A(g(x1, . . . , xk)) of ...
Jan Krajícek
TLCA
2009
Springer
14 years 1 months ago
On the Meaning of Logical Completeness
G¨odel’s completeness theorem is concerned with provability, while Girard’s theorem in ludics (as well as full completeness theorems in game semantics) are concerned with proo...
Michele Basaldella, Kazushige Terui
CORR
2011
Springer
170views Education» more  CORR 2011»
12 years 11 months ago
A Modular Type-checking algorithm for Type Theory with Singleton Types and Proof Irrelevance
We define a logical framework with singleton types and one universe of small types. We give the semantics using a PER model; it is used for constructing a normalisation-by-evaluat...
Andreas Abel, Thierry Coquand, Miguel Pagano
LICS
2002
IEEE
14 years 9 days ago
Little Engines of Proof
The automated construction of mathematical proof is a basic activity in computing. Since the dawn of the field of automated reasoning, there have been two divergent schools of tho...
Natarajan Shankar
ESSLLI
1999
Springer
13 years 11 months ago
Weak Equivalence in Propositional Calculus
Abstract. The main purpose of this paper is to present a new algorithm (NEWSAT) for deciding the (un)satisfiability of propositional formulae. It is based on a somehow dual (versu...
Stefan Andrei