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LICS
2012
IEEE
13 years 3 days ago
Foundational, Compositional (Co)datatypes for Higher-Order Logic: Category Theory Applied to Theorem Proving
—Interactive theorem provers based on higher-order logic (HOL) traditionally follow the definitional approach, reducing high-level specifications to logical primitives. This al...
Dmitriy Traytel, Andrei Popescu, Jasmin Christian ...
IJCAI
2003
14 years 11 months ago
Automated Reasoning: Past Story and New Trends
We overview the development of first-order automated reasoning systems starting from their early years. Based on the analysis of current and potential applications of such systems...
Andrei Voronkov
LICS
1999
IEEE
15 years 2 months ago
Counting and Addition Cannot Express Deterministic Transitive Closure
An important open question in complexity theory is whether the circuit complexity class TC0 is (strictly) weaker than LOGSPACE. This paper considers this question from the viewpoi...
Matthias Ruhl
LOPSTR
2001
Springer
15 years 2 months ago
Proof Theory, Transformations, and Logic Programming for Debugging Security Protocols
In this paper we define a sequent calculus to formally specify, simulate, debug and verify security protocols. In our sequents we distinguish between the current knowledge of prin...
Giorgio Delzanno, Sandro Etalle
CSL
1997
Springer
15 years 1 months ago
From Action Calculi to Linear Logic
Abstract. Milner introduced action calculi as a framework for investigating models of interactive behaviour. We present a type-theoretic account of action calculi using the proposi...
Andrew Barber, Philippa Gardner, Masahito Hasegawa...