author  hoelzl 
Mon, 08 Aug 2016 14:13:14 +0200  
changeset 63627  6ddb43c6b711 
parent 55229  08f2ebb65078 
child 66946  3d8fd98c7c86 
permissions  rwrr 
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chapter Sequents 
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session Sequents = Pure + 
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description {* 
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Author: Lawrence C Paulson, Cambridge University Computer Laboratory 

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Copyright 1991 University of Cambridge 

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Various Sequent Calculi for Classical, Linear, and Modal Logic. 
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Much of the work in Modal logic was done by Martin Coen. Thanks to Rajeev 
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Gore' for supplying the inference system for S43. Sara Kalvala reorganized 
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the files and supplied Linear Logic. Jacob Frost provided some improvements 
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to the syntax of sequents. 
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Useful references on sequent calculi: 
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Steve Reeves and Michael Clarke, Logic for Computer Science 
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(AddisonWesley, 1990) 
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G. Takeuti, Proof Theory (North Holland, 1987) 
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Useful references on Modal Logics: 
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Melvin C Fitting, Proof Methods for Modal and Intuitionistic Logics 
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(Reidel, 1983) 
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Lincoln A. Wallen, Automated Deduction in Nonclassical Logics (MIT Press, 
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1990) 
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Useful references on Linear Logic: 
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A. S. Troelstra, Lectures on Linear Logic (CSLI, 1992) 
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S. Kalvala and V. de Paiva, Linear Logic in Isabelle (in TR 379, University 
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of Cambridge Computer Lab, 1995, ed L. Paulson) 
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*} 
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options [document = false] 
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theories 
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LK 
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ILL 
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ILL_predlog 
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Washing 
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Modal0 
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T 
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S4 
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S43 
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(* Examples for Classical Logic *) 
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"LK/Propositional" 

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"LK/Quantifiers" 

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"LK/Hard_Quantifiers" 

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"LK/Nat" 

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