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				George C. Necula, Peter Lee 
				CMU
			       
			      
				Efficient Representation and Validation of Proofs 
				Presented at LICS'98.
			       
			      
				
				  URL: http://raw.cs.berkeley.edu/Papers/lfi_lics98.ps
				
			       
			      
				 This paper presents a logical
				 framework derived from the Edinburgh
				 Logical Framework (LF) that can be
				 used to obtain compact
				 representations of proofs and
				 efficient proof checkers. These are
				 essential ingredients of any
				 application that manipulates proofs
				 as first-class objects, such as a
				 Proof-Carrying Code system, in which
				 proofs are used to allow the easy
				 validation of properties of
				 safety-critical or untrusted code.
			       
			      
				Our framework, which we call LFi,
				inherits from LF the capability to
				encode various logics in a natural
				way. In addition, the LFi framework
				allows proof representations without
				the high degree of redundancy that is
				characteristic of LF
				representations. The missing parts of
				LFi proof representations can be
				reconstructed during proof checking by
				an efficient reconstruction
				algorithm. We also describe an
				algorithm that can be used to strip
				the unnecessary parts of an LF
				representation of a proof. The
				experimental data that we gathered in
				the context of a Proof-Carrying Code
				system shows that the savings obtained
				from using LFi instead of LF can make
				the difference between practically
				useless proofs of several megabytes
				and manageable proofs of tens of
				kilobytes.
			       
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