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» Automating Proofs in Category Theory
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TPHOL
2003
IEEE
15 years 7 months ago
First Order Logic with Domain Conditions
This paper addresses the crucial issue in the design of a proof development system of how to deal with partial functions and the related question of how to treat undefined terms. ...
Freek Wiedijk, Jan Zwanenburg
TLCA
2005
Springer
15 years 7 months ago
Naming Proofs in Classical Propositional Logic
Abstract. We present a theory of proof denotations in classical propologic. The abstract definition is in terms of a semiring of weights, and two concrete instances are explored. ...
François Lamarche, Lutz Straßburger
CADE
2010
Springer
15 years 2 months ago
Sledgehammer: Judgement Day
Abstract. Sledgehammer, a component of the interactive theorem prover Isabelle, finds proofs in higher-order logic by calling the automated provers for first-order logic E, SPASS a...
Sascha Böhme, Tobias Nipkow
CSL
2010
Springer
15 years 2 months ago
From Feasible Proofs to Feasible Computations
We shall discuss several situations in which it is possible to extract from a proof, be it a proof in a first-order theory or a propositional proof, some feasible computational inf...
Jan Krajícek
CSL
2005
Springer
15 years 7 months ago
Feasible Proofs of Matrix Properties with Csanky's Algorithm
We show that Csanky’s fast parallel algorithm for computing the characteristic polynomial of a matrix can be formalized in the logical theory LAP, and can be proved correct in LA...
Michael Soltys