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TLCA
2009
Springer
15 years 10 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
15 years 10 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
15 years 5 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
15 years 10 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
15 years 9 months 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