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TLCA
2009
Springer
14 years 2 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
MKM
2007
Springer
14 years 1 months ago
Higher order Proof Reconstruction from Paramodulation-Based Refutations: The Unit Equality Case
In this paper we address the problem of reconstructing a higher order, checkable proof object starting from a proof trace left by a first order automatic proof searching procedure...
Andrea Asperti, Enrico Tassi
ROOM
2000
13 years 9 months ago
Object-Oriented Refinement and Proof using Behaviour Functions
This paper proposes a new calculus for expressing the behaviour of object-oriented systems. The semantics of the calculus is given in terms of operators from computational categor...
Tony Clark
TPHOL
2007
IEEE
14 years 1 months ago
Proof Pearl: The Power of Higher-Order Encodings in the Logical Framework LF
Abstract. In this proof pearl, we demonstrate the power of higherorder encodings in the logical framework Twelf[PS99] by investigating proofs about an algorithmic specification of...
Brigitte Pientka
AGP
2010
IEEE
14 years 21 days ago
Proof-Theoretic and Higher-Order Extensions of Logic Programming
We review the Italian contribution to proof-theoretic and higher-order extensions of logic programming; this originated from the realization that Horn clauses lacked standard abstr...
Alberto Momigliano, Mario Ornaghi